@Preamble{
"\ifx \undefined \booktitle \def \booktitle #1{{{\em #1}}} \fi" #
"\ifx \undefined \cprime \def \cprime {$'$} \fi" #
"\ifx \undefined \cyr \let \cyr = \rm \fi" #
"\ifx \undefined \mathbb \def \mathbb #1{{\bf #1}} \fi"
}
@String{ack-nhfb = "Nelson H. F. Beebe,
University of Utah,
Department of Mathematics, 110 LCB,
155 S 1400 E RM 233,
Salt Lake City, UT 84112-0090, USA,
Tel: +1 801 581 5254,
FAX: +1 801 581 4148,
e-mail: \path|beebe@math.utah.edu|,
\path|beebe@acm.org|,
\path|beebe@computer.org| (Internet),
URL: \path|https://www.math.utah.edu/~beebe/|"}
@String{j-ABSTR-APPL-ANAL = "Abstract and Applied Analysis"}
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@String{j-APPL-MATH-COMP = "Applied Mathematics and Computation"}
@String{j-APPL-MATH-LETT = "Applied Mathematics Letters"}
@String{j-APPL-NUM-MATH = "Applied Numerical Mathematics: Transactions
of IMACS"}
@String{j-BIT = "BIT (Nordisk tidskrift for
informationsbehandling)"}
@String{j-BIT-NUM-MATH = "BIT Numerical Mathematics"}
@String{j-BULL-INST-MATH-APPL = "Bulletin of the Institute of Mathematics and
its Applications"}
@String{j-C-R-ACAD-SCI-PARIS-SER-AB = "Comptes Rendus Hebdomadaires des
S{\'e}ances de l'Acad{\'e}mie des
Sciences. S{\'e}ries A et B"}
@String{j-CACM = "Communications of the ACM"}
@String{j-CALCOLO = "Calcolo: a quarterly on numerical analysis
and theory of computation"}
@String{j-CAN-J-MATH = "Canadian Journal of Mathematics = Journal
canadien de math{\'e}matiques"}
@String{j-COMP-J = "The Computer Journal"}
@String{j-COMPUTING = "Computing"}
@String{j-COMPUT-MATH-APPL = "Computers and Mathematics and Applications"}
@String{j-COMPUT-MATH-APPL-B = "Computers and Mathematics with Applications.
Part B"}
@String{j-ELECTRON-TRANS-NUMER-ANAL = "Electronic Transactions on Numerical
Analysis"}
@String{j-ENG-ANAL-BOUND-ELEM = "Engineering Analysis with Boundary Elements"}
@String{j-FAR-EAST-J-APPL-MATH = "Far East Journal of Applied Mathematics"}
@String{j-FIB-QUART = "Fibonacci Quarterly"}
@String{j-GUARDIAN = "The Guardian"}
@String{j-IEEE-SIGNAL-PROCESS-LETT = "IEEE Signal Processing Letters"}
@String{j-IEEE-TRANS-SIG-PROC = "IEEE Transactions on Signal Processing"}
@String{j-IMA-J-NUMER-ANAL = "IMA Journal of Numerical Analysis"}
@String{j-INDAG-MATH = "Indagationes Mathematic{\ae}"}
@String{j-INT-J-COMPUT-MATH = "International Journal of Computer
Mathematics"}
@String{j-IZV-VYSS-UCEBN-ZAVED-MAT = "Izvestiia Vysshikh Uchebnykh Zavedenii.
Matematika"}
@String{j-J-ACM = "Journal of the ACM"}
@String{j-J-APPROX-THEORY = "Journal of Approximation Theory"}
@String{j-J-AUSTRALIAN-MATH-SOC = "Journal of the Australian Mathematical
Society"}
@String{j-J-COMPUT-APPL-MATH = "Journal of Computational and Applied
Mathematics"}
@String{j-J-COMPUT-PHYS = "Journal of Computational Physics"}
@String{j-J-FRANKLIN-INST = "Journal of {The Franklin Institute}"}
@String{j-J-INF-OPTIM-SCI = "Journal of Information \& Optimization
Sciences"}
@String{j-J-INST-MATH-APPL = "Journal of the Institute of Mathematics and
its Applications"}
@String{j-J-MATH-ANAL-APPL = "Journal of Mathematical Analysis and
Applications"}
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@String{j-J-RES-NATL-BUR-STAND-B = "Journal of Research of the National Bureau
of Standards. Section B, Mathematics and
Mathematical Physics"}
@String{j-J-RES-NATL-INST-STAND-TECHNOL = "Journal of research of the National
Institute of Standards and Technology"}
@String{j-LECT-NOTES-MATH = "Lecture Notes in Mathematics"}
@String{j-MATH-COMP-SIM = "Mathematics and Computers in Simulation"}
@String{j-MATH-COMPUT = "Mathematics of Computation"}
@String{j-MATH-TABLES-OTHER-AIDS-COMPUT = "Mathematical Tables and Other Aids to
Computation"}
@String{j-NAMS = "Notices of the American Mathematical
Society"}
@String{j-NUM-MATH = "{Numerische Mathematik}"}
@String{j-NUMER-ALGORITHMS = "Numerical Algorithms"}
@String{j-PARALLEL-COMPUTING = "Parallel Computing"}
@String{j-PHILOS-TRANS-R-SOC-LOND-SER-A = "Philosophical Transactions of the
Royal Society A: Mathematical,
Physical, and Engineering Sciences"}
@String{j-PROC-AM-MATH-SOC = "Proceedings of the American Mathematical
Society"}
@String{j-PROC-CAMBRIDGE-PHIL-SOC = "Proceedings of the Cambridge Philosophical
Society. Mathematical and physical sciences"}
@String{j-PROC-NATL-ACAD-SCI-USA = "Proc. Natl. Acad. Sci. USA"}
@String{j-QUART-J-MECH-APPLIED-MATH = "Quarterly Journal of Mechanics and
Applied Mathematics"}
@String{j-ROCKY-MOUNTAIN-J-MATH = "Rocky Mountain Journal of Mathematics"}
@String{j-SIAM-J-NUM-ANALYSIS-B = "Journal of the Society for Industrial and
Applied Mathematics: Series B, Numerical
Analysis"}
@String{j-SIAM-J-NUMER-ANAL = "SIAM Journal on Numerical Analysis"}
@String{j-SIAM-J-SCI-COMP = "SIAM Journal on Scientific Computing"}
@String{j-SIAM-REVIEW = "SIAM Review"}
@String{j-TAMKANG-J-MATH = "Tamkang Journal of Mathematics"}
@String{j-TOMS = "ACM Transactions on Mathematical Software"}
@String{j-Z-ANGE-MATH-MECH = "{Zeitschrift f{\"u}r Angewandte Mathematik
und Mechanik}"}
@String{j-ZASTOS-MAT = "Zastosowania Matematyki"}
@String{pub-ACADEMIC = "Academic Press"}
@String{pub-ACADEMIC:adr = "New York, USA"}
@String{pub-ACM = "ACM Press"}
@String{pub-ACM:adr = "New York, NY 10036, USA"}
@String{pub-BIRKHAUSER = "Birkh{\"a}user"}
@String{pub-BIRKHAUSER:adr = "Cambridge, MA, USA; Berlin, Germany; Basel,
Switzerland"}
@String{pub-CAMBRIDGE = "Cambridge University Press"}
@String{pub-CAMBRIDGE:adr = "Cambridge, UK"}
@String{pub-ELSEVIER = "Elsevier"}
@String{pub-ELSEVIER:adr = "Amsterdam, The Netherlands"}
@String{pub-HMSO = "Her Majesty's Stationery Office"}
@String{pub-HMSO:adr = "London, UK"}
@String{pub-IEEE = "IEEE Computer Society Press"}
@String{pub-IEEE:adr = "1109 Spring Street, Suite 300,
Silver Spring, MD 20910, USA"}
@String{pub-NORTH-HOLLAND = "North-Hol{\-}land"}
@String{pub-NORTH-HOLLAND:adr = "Amsterdam, The Netherlands"}
@String{pub-OXFORD = "Oxford University Press"}
@String{pub-OXFORD:adr = "Walton Street, Oxford OX2 6DP, UK"}
@String{pub-REIDEL = "D. Reidel"}
@String{pub-REIDEL:adr = "Dordrecht, The Netherlands; Boston, MA, USA;
Lancaster, UK; Tokyo, Japan"}
@String{pub-SIAM = "Society for Industrial and Applied
Mathematics"}
@String{pub-SIAM:adr = "Philadelphia, PA, USA"}
@String{pub-SV = "Springer-Verlag"}
@String{pub-SV:adr = "Berlin, Germany~/ Heidelberg, Germany~/
London, UK~/ etc."}
@String{pub-WILEY = "Wiley"}
@String{pub-WILEY:adr = "New York, NY, USA"}
@PhdThesis{Clenshaw:1948:U,
author = "Charles William Clenshaw",
title = "[unknown]",
type = "{Ph.D.} dissertation",
school = "University of London",
address = "London, UK",
year = "1948",
bibdate = "Sun Nov 12 06:19:57 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
advisor = "unknown",
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
remark = "I cannot find this recorded in either the ProQuest
database, or in the University College London library,
or the Library Hub Discover (UK-wide coverage)
catalogs.",
}
@Article{Clenshaw:1951:NNA,
author = "C. W. Clenshaw and F. W. J. Olver",
title = "Notes on Numerical Analysis --- 3: Solution of
Differential Equations by Recurrence Relations (in
Automatic Computing Machinery; Discussions)",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "5",
number = "33",
pages = "34--39",
month = jan,
year = "1951",
CODEN = "MTTCAS",
DOI = "https://doi.org/10.1090/S0025-5718-51-99443-4;
https://doi.org/10.2307/2002287",
ISSN = "0891-6837 (print), 2326-4853 (electronic)",
ISSN-L = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Frank William John Olver (15 December 1924--23
April 2013)",
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Clenshaw:1954:PAE,
author = "C. W. Clenshaw",
title = "Polynomial Approximations to Elementary Functions",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "8",
number = "47",
pages = "143--147",
month = jul,
year = "1954",
CODEN = "MTTCAS",
DOI = "https://doi.org/10.1090/S0025-5718-1954-0063487-2",
ISSN = "0891-6837 (print), 2326-4853 (electronic)",
ISSN-L = "0891-6837",
MRclass = "41.1X",
MRnumber = "16,128f (63487)",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "$\Gamma$; $J_0$; $J_1$; arccos; arcsin; arctan;
Chebyshev expansions; cos; exp; log; sin",
}
@Article{Brenner:1955:TNS,
author = "J. L. Brenner and G. W. Reitwiesner and C. W. Clenshaw
and I. J. Good",
title = "Technical Notes and Short Papers",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "9",
number = "51",
pages = "117--121",
month = jul,
year = "1955",
CODEN = "MTTCAS",
ISSN = "0891-6837 (print), 2326-4853 (electronic)",
ISSN-L = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Clenshaw:1955:NSC,
author = "C. W. Clenshaw",
title = "A Note on the Summation of {Chebyshev} Series",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "9",
number = "51",
pages = "118--120",
month = jul,
year = "1955",
CODEN = "MTTCAS",
DOI = "https://doi.org/10.1090/S0025-5718-1955-0071856-0",
ISSN = "0891-6837 (print), 2326-4853 (electronic)",
ISSN-L = "0891-6837",
MRclass = "65.0X",
MRnumber = "0071856",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "Chebyshev series; Clenshaw algorithm; Clenshaw
summation; Horner polynomial evaluation",
remark = "Hidden inside \cite{Brenner:1955:TNS}, but important
in its own right for commentary on the recursive
algorithm for summation of Chebyshev series, and a
brief analysis of its accuracy.",
}
@Article{Clenshaw:1955:UEP,
author = "C. W. Clenshaw and Frank W. J. Olver",
title = "The use of economized polynomials in mathematical
tables",
journal = j-PROC-CAMBRIDGE-PHIL-SOC,
volume = "51",
number = "4",
pages = "614--628",
month = oct,
year = "1955",
CODEN = "PCPSA4",
DOI = "https://doi.org/10.1017/S0305004100030693",
ISSN = "0008-1981",
ISSN-L = "0008-1981",
MRclass = "65.1X",
MRnumber = "73304",
MRreviewer = "John Todd",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Frank William John Olver (15 December 1924--23
April 2013)",
fjournal = "Proceedings of the Cambridge Philosophical Society",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP",
}
@Article{Clenshaw:1957:NSL,
author = "C. W. Clenshaw",
title = "The numerical solution of linear differential
equations in {Chebyshev} series",
journal = j-PROC-CAMBRIDGE-PHIL-SOC,
volume = "53",
number = "1",
pages = "134--149",
month = jan,
year = "1957",
CODEN = "PCPSA4",
DOI = "https://doi.org/10.1017/s0305004100032072",
ISSN = "0008-1981",
ISSN-L = "0008-1981",
MRclass = "65.3X",
MRnumber = "82196",
MRreviewer = "L. Fox",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
fjournal = "Proceedings of the Cambridge Philosophical Society",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP",
}
@Article{Clenshaw:1960:CFD,
author = "C. W. Clenshaw",
title = "Curve Fitting with a Digital Computer",
journal = j-COMP-J,
volume = "2",
number = "4",
pages = "170--173",
month = jan,
year = "1960",
CODEN = "CMPJA6",
DOI = "https://doi.org/10.1093/comjnl/2.4.170",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
MRclass = "65.00 (68.00)",
MRnumber = "109429",
MRreviewer = "W. C. Rheinboldt",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "http://comjnl.oxfordjournals.org/content/2/4.toc;
http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_04/;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/compj.bib;
https://www.math.utah.edu/pub/tex/bib/compj1960.bib",
URL = "http://comjnl.oxfordjournals.org/content/2/4/170.full.pdf+html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_04/020170.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_04/tiff/170.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_04/tiff/171.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_04/tiff/172.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_04/tiff/173.tif",
abstract = "Forsythe (1957) has described a method for fitting
polynomials to a set of points, using the principle of
least squares. The method, designed to exploit the
advantages of high-speed computers, uses orthogonal
polynomials to overcome the problems of
ill-conditioning which are usually associated with this
approach. The present paper shows how this powerful
method can be modified to save a substantial proportion
of the machine storage. This is achieved by
representing each polynomial within the machine by the
coefficients in its Chebyshev series.",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@Article{Clenshaw:1960:MNI,
author = "C. W. Clenshaw and A. R. Curtis",
title = "A method for numerical integration on an automatic
computer",
journal = j-NUM-MATH,
volume = "2",
number = "1",
pages = "197--205",
month = dec,
year = "1960",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01386223",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.00",
MRnumber = "117885",
MRreviewer = "A. H. Stroud",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@InProceedings{Clenshaw:1960:NSO,
author = "C. W. Clenshaw",
booktitle = "Symposium on the Numerical Treatment of Ordinary
Differential Equations, Integral and
Integro-differential Equations ({Rome}, 1960)",
title = "The numerical solution of ordinary differential
equations in {Chebyshev} series",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "222--227",
year = "1960",
MRclass = "65.61",
MRnumber = "128082",
MRreviewer = "R. W. Hamming",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Clenshaw:1960:NTO,
author = "C. W. Clenshaw and D. Elliott",
title = "A Numerical Treatment of the {Orr--Sommerfeld}
equation in the case of a laminar jet",
journal = j-QUART-J-MECH-APPLIED-MATH,
volume = "13",
number = "3",
pages = "300--313",
year = "1960",
CODEN = "QJMMAV",
DOI = "https://doi.org/10.1093/qjmam/13.3.300",
ISSN = "0033-5614 (print), 1464-3855 (electronic)",
ISSN-L = "0033-5614",
MRclass = "76.00 (65.00)",
MRnumber = "116714",
MRreviewer = "W. H. Reid",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
fjournal = "The Quarterly Journal of Mechanics and Applied
Mathematics",
journal-URL = "http://qjmam.oxfordjournals.org/content/by/year",
}
@Book{Clenshaw:1961:MCM,
author = "C. W. Clenshaw and E. T. Goodwin and D. W. Martin and
G. F. Miller and F. W. J. Olver and J. H. Wilkinson",
title = "Modern Computing Methods",
volume = "16",
publisher = pub-HMSO,
address = pub-HMSO:adr,
edition = "Second",
pages = "vi + 170",
year = "1961",
LCCN = "QA297 .T4 1961",
bibdate = "Tue Nov 07 08:00:14 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib",
series = "National Physical Laboratory. Notes on Applied
Science",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Frank William John Olver (15 December 1924--23
April 2013); James H. Wilkinson (27 September 1919--5
October 1986)",
remark = "Reprinted in 1962.",
xxnote = "TO DO: Check author order",
}
@Book{Clenshaw:1962:CSM,
author = "C. W. Clenshaw",
title = "{Chebyshev} Series for Mathematical Functions",
volume = "5",
publisher = pub-HMSO,
address = pub-HMSO:adr,
pages = "iv + 36",
year = "1962",
MRclass = "33.00",
MRnumber = "142793",
MRreviewer = "L. J. Slater",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
note = "Department of Scientific and Industrial Research",
series = "National Physical Laboratory. Mathematical tables",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Book{Clenshaw:1962:MT,
author = "C. W. Clenshaw",
title = "Mathematical Tables",
publisher = pub-HMSO,
address = pub-HMSO:adr,
pages = "36",
year = "1962",
bibdate = "Sat Nov 11 16:54:25 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
series = "National Physical Laboratory. Mathematical tables",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
xxnote = "This may be the same as \cite{Clenshaw:1962:CSM}",
}
@Article{Clenshaw:1963:ASF,
author = "C. W. Clenshaw and G. F. Miller and M. Woodger",
title = "Algorithms for Special Functions {I}",
journal = j-NUM-MATH,
volume = "4",
number = "1",
pages = "403--419",
month = dec,
year = "1963",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01386339",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.25",
MRnumber = "154397",
MRreviewer = "A. S. Householder",
bibdate = "Fri Sep 16 10:21:31 1994",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "From the Web page: ``Editor's note. In this fascicle,
prepublication of algorithms from the Special Function
series of the Handbook for Automatic Computation is
started. Algorithms are published in ALGOL 60 reference
language [1] as approved recently by the IFIP.''",
series = "Handbook Series Special functions",
acknowledgement = ack-nhfb # "\slash " # ack-nj,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
citedby = "Fullerton:1980:BEM",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "arcsin(x); arctan(x); cos(x); Ei(x); erf(x); exp(x);
gamma(x); ln(x); polar(x,y,r,t); sin(x); tan(x)",
remark = "Fullerton: ALGOL 60 procedures with accuracy $ \approx
10^{-15} $ for $ \exp $, $ \ln $, $ \sin $, $ \cos $, $
\tan $, $ \arcsin $, $ \arctan $, $ \gamma $, $ \Ei $
and $ \erf $. See G. F. Miller (1965) for
corrections.",
remark-2 = "TO DO: Was the handbook ever published??",
}
@Article{Clenshaw:1963:BRN,
author = "C. W. Clenshaw",
title = "Book Reviews: Numerical Analysis:
{{\booktitle{Approximate Calculation of Integrals}}, by
V. I. Krylov, translated by Arthur H. Stroud, 1962; 357
pages. (New York: The Macmillan Company, \$7.50.
London: The Macmillan Company, New York)}",
journal = j-COMP-J,
volume = "6",
number = "2",
pages = "207--208",
month = aug,
year = "1963",
CODEN = "CMPJA6",
DOI = "https://doi.org/10.1093/comjnl/6.2.207",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Tue Dec 4 14:47:30 MST 2012",
bibsource = "http://comjnl.oxfordjournals.org/content/6/2.toc;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/compj1960.bib",
URL = "http://comjnl.oxfordjournals.org/content/6/2/207.full.pdf+html",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@Article{Clenshaw:1963:SNO,
author = "C. W. Clenshaw and H. J. Norton",
title = "The solution of nonlinear ordinary differential
equations in {Chebyshev} series",
journal = j-COMP-J,
volume = "6",
number = "1",
pages = "88--92",
month = apr,
year = "1963",
CODEN = "CMPJA6",
DOI = "https://doi.org/10.1093/comjnl/6.1.88",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
MRclass = "65.61",
MRnumber = "155433",
bibdate = "Tue Dec 4 14:47:29 MST 2012",
bibsource = "http://comjnl.oxfordjournals.org/content/6/1.toc;
http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/compj.bib;
https://www.math.utah.edu/pub/tex/bib/compj1960.bib",
URL = "http://comjnl.oxfordjournals.org/content/6/1/88.full.pdf+html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/060088.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/tiff/88.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/tiff/89.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/tiff/90.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/tiff/91.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/tiff/92.tif",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@Article{Clenshaw:1964:CBP,
author = "C. W. Clenshaw",
title = "A Comparison of {``Best''} Polynomial Approximations
with Truncated {Chebyshev} Series Expansions",
journal = j-SIAM-J-NUM-ANALYSIS-B,
volume = "1",
number = "1",
pages = "26--37",
month = jan,
year = "1964",
DOI = "https://doi.org/10.1137/0701003",
ISSN = "0887-459X (print), 2168-3581 (electronic)",
ISSN-L = "0887-459X",
MRclass = "41.40",
MRnumber = "179530",
MRreviewer = "T. J. Rivlin",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
fjournal = "Journal of the Society for Industrial and Applied
Mathematics: Series B, Numerical Analysis",
journal-URL = "http://epubs.siam.org/loi/sjnaam.1",
}
@Article{Clenshaw:1965:BRI,
author = "C. W. Clenshaw",
title = "Book Review: {{\booktitle{Integration of Equations of
Parabolic Type by the Method of Nets}}, V. K. Saul'yev,
1964; 346 pages. (Oxford: Pergamon Press Ltd.)}",
journal = j-COMP-J,
volume = "8",
number = "2",
pages = "156--156",
month = feb,
year = "1965",
CODEN = "CMPJA6",
DOI = "https://doi.org/10.1093/comjnl/8.2.156",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Tue Dec 4 14:47:33 MST 2012",
bibsource = "http://comjnl.oxfordjournals.org/content/8/2.toc;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/compj1960.bib",
URL = "http://comjnl.oxfordjournals.org/content/8/2/156.full.pdf+html",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@Article{Clenshaw:1965:CSF,
author = "C. W. Clenshaw and J. G. Hayes",
title = "Curve and surface fitting",
journal = j-J-INST-MATH-APPL,
volume = "1",
number = "2",
pages = "164--183",
month = jun,
year = "1965",
CODEN = "JMTAA8",
DOI = "https://doi.org/10.1093%2Fimamat%2F1.2.164",
ISSN = "0020-2932",
ISSN-L = "0020-2932",
MRclass = "65.20",
MRnumber = "32 #8482 (191073)",
MRreviewer = "Friedrich L. Bauer",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
fjournal = "Journal of the Institute of Mathematics and its
Applications",
journal-URL = "http://imamat.oxfordjournals.org/content/by/year",
}
@Article{Clenshaw:1966:BRA,
author = "C. W. Clenshaw",
title = "Book Review: {{\booktitle{Approximation of
Functions}}, edited by H. Garabedian, 1965; 215
pages}",
journal = j-COMP-J,
volume = "9",
number = "3",
pages = "285--285",
month = nov,
year = "1966",
CODEN = "CMPJA6",
DOI = "https://doi.org/10.1093/comjnl/9.3.285",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Tue Dec 4 14:47:36 MST 2012",
bibsource = "http://comjnl.oxfordjournals.org/content/9/3.toc;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/compj1960.bib",
URL = "http://comjnl.oxfordjournals.org/content/9/3/285.full.pdf+html",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@Book{Clenshaw:1966:CSB,
author = "C. W. Clenshaw and Susan M. Picken",
title = "{Chebyshev} series for {Bessel} functions of
fractional order",
volume = "8",
publisher = pub-HMSO,
address = pub-HMSO:adr,
pages = "iii + 53",
year = "1966",
MRclass = "33.25",
MRnumber = "203095",
MRreviewer = "L. J. Slater",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
series = "National Physical Laboratory. Mathematical tables",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
xxpages = "51",
xxpages = "iii + 54",
}
@InProceedings{Clenshaw:1966:SVP,
author = "C. W. Clenshaw",
booktitle = "Numerical Solutions of Nonlinear Differential
Equations ({Proceedings of the Advanced Symposium,
Madison, Wisconsin, 1966})",
title = "The solution of {van der Pol}'s equation in
{Chebyshev} series",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "55--63",
year = "1966",
MRclass = "65.60",
MRnumber = "205465",
MRreviewer = "J. R. Rice",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Clenshaw:1967:CMN,
author = "C. W. Clenshaw",
title = "Book Review: {{\booktitle{Chebyshev methods in
numerical approximation}}: by Martin A. Snyder. 114
pages, $ 6 \times 9 $ in. Englewood Cliffs, N.J.,
Prentice-Hall, Inc., 1966.}",
journal = j-J-FRANKLIN-INST,
volume = "284",
number = "5",
pages = "338--??",
month = nov,
year = "1967",
CODEN = "JFINAB",
DOI = "https://doi.org/10.1016/0016-0032(67)90564-9",
ISSN = "0016-0032 (print), 1879-2693 (electronic)",
ISSN-L = "0016-0032",
bibdate = "Sun Nov 12 09:18:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
URL = "https://api.semanticscholar.org/CorpusID:117920278",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
fjournal = "Journal of {The Franklin Institute}",
journal-URL = "http://www.sciencedirect.com/science/journal/00160032",
xxjournal = "Journal of The Franklin Institute --- Engineering and
Applied Mathematics",
}
@Article{Goldstein:1967:CSB,
author = "Max Goldstein and C. W. Clenshaw and Susan M. Picken",
title = "{Chebyshev} Series for {Bessel} Functions of
Fractional Order",
journal = j-MATH-COMPUT,
volume = "21",
number = "99",
pages = "509--??",
month = jul,
year = "1967",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2003271",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Sun Nov 12 09:25:35 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
remark = "TO DO: Why is this missing from journal bibliography
file, mathcomp1970.bib?",
}
@Article{Clenshaw:1968:BRC,
author = "C. W. Clenshaw",
title = "Book Review: {{\booktitle{Chebyshev Polynomials in
Numerical Analysis}}, by L. Fox and I. B. Parker, 1969;
205 pages (Oxford University Press)}",
journal = j-COMP-J,
volume = "11",
number = "3",
pages = "310--310",
month = mar,
year = "1968",
CODEN = "CMPJA6",
DOI = "https://doi.org/10.1093/comjnl/11.3.310",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Tue Dec 4 14:47:41 MST 2012",
bibsource = "http://comjnl.oxfordjournals.org/content/11/3.toc;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/compj1960.bib",
URL = "http://comjnl.oxfordjournals.org/content/11/3/310.full.pdf+html",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@TechReport{Clenshaw:1968:CSF,
author = "C. W. Clenshaw",
title = "Curve and surface fitting",
type = "Report",
number = "NPL Ma 72",
institution = "National Physical Laboratory Division of Numerical
Applied Mathematics",
address = "Teddington, UK",
pages = "21",
year = "1968",
bibdate = "Sun Nov 12 06:50:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Clenshaw:1972:RDT,
author = "C. W. Clenshaw",
title = "Reviews and Descriptions of Tables and Books: {Yudell
L. Luke, \booktitle{The Special Functions and Their
Approximations}, Academic Press, New York, 1969, vol.
I, xx + 349 pp., vol. II, xx + 485 pp., 23 cm.}",
journal = j-MATH-COMPUT,
volume = "26",
number = "117",
pages = "297--299",
month = jan,
year = "1972",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2004747",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Sun Nov 12 09:07:20 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
URL = "https://www.jstor.org/stable/2004747",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
remark = "TO DO: Why is this missing from the journal
bibliography file, mathcomp1970.bib? It has several
reviews under one bland title",
}
@InCollection{Clenshaw:1974:RAC,
author = "C. W. Clenshaw and K. Lord",
booktitle = "Studies in Numerical Analysis (papers in Honour of
{Cornelius Lanczos} on the Occasion of His 80th
Birthday)",
title = "Rational approximations from {Chebyshev} series",
publisher = "Royal Irish Academy",
address = "Dublin, Ireland",
pages = "95--113",
year = "1974",
MRclass = "65D15 (40A20)",
MRnumber = "356444",
MRreviewer = "Gerhard Merz",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@InProceedings{Clenshaw:1974:RAS,
author = "C. W. Clenshaw",
booktitle = "Software for Numerical Mathematics ({Proceedings of a
Conference, Institute of Mathematics and Applications,
Loughborough University Tech., Loughborough, 1973})",
title = "Rational approximations for special functions",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "275--284, 301",
year = "1974",
MRclass = "65D15",
MRnumber = "359269",
MRreviewer = "Christian Coatm\'{e}lec",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
note = "With discussion by J. A. Grant and C. W. Clenshaw",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Clenshaw:1978:CSA,
author = "C. W. Clenshaw and B. Negus",
title = "The cubic {$X$}-spline and its application to
interpolation",
journal = j-J-INST-MATH-APPL,
volume = "22",
number = "1",
pages = "109--119",
month = aug,
year = "1978",
CODEN = "JMTAA8",
DOI = "https://doi.org/10.1093/imamat/22.1.109",
ISSN = "0020-2932",
ISSN-L = "0020-2932",
MRclass = "65D05",
MRnumber = "501735",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib",
ZMnumber = "0392.65005",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
fjournal = "Journal of the Institute of Mathematics and its
Applications",
journal-URL = "http://imamat.oxfordjournals.org/content/by/year",
}
@InProceedings{Clenshaw:1978:NLA,
author = "C. W. Clenshaw",
title = "A New Look at Error Analysis",
crossref = "Anonymous:1978:CDJ",
pages = "54--75",
year = "1978",
bibdate = "Sun Nov 12 07:26:58 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
mynote = "Discusses Olver's rp and ap defns; applies to
summation etc.",
}
@PhdThesis{Clenshaw:1980:U,
author = "Charles William Clenshaw",
title = "[unknown]",
type = "{D.Sc.}",
school = "University of London",
address = "London, UK",
year = "1980",
bibdate = "Sun Nov 12 06:19:57 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
remark = "This was likely issued on the basis of publications,
rather than a graduate dissertation.",
}
@Article{Clenshaw:1980:UAE,
author = "C. W. Clenshaw and Frank W. J. Olver",
title = "An unrestricted algorithm for the exponential
function",
journal = j-SIAM-J-NUMER-ANAL,
volume = "17",
number = "2",
pages = "310--331",
month = apr,
year = "1980",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0717026",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65D20",
MRnumber = "567276",
MRreviewer = "A. M. Cohen",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
abstract = "An algorithm is presented for the computation of the
exponential function of real argument. There are no
restrictions on the range of the argument or on the
precision that may be demanded in the results.",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Frank William John Olver (15 December 1924--23
April 2013)",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Clenshaw:1984:BFP,
author = "C. W. Clenshaw and Frank W. J. Olver",
title = "Beyond Floating Point",
journal = j-J-ACM,
volume = "31",
number = "2",
pages = "319--328",
day = "30",
month = mar,
year = "1984",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/62.322429",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
MRclass = "65G05",
MRnumber = "819141",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
abstract = "A new number system is proposed for computer
arithmetic based on iterated exponential functions. The
mare advantage is to eradicate overflow and underflow,
but there are several other advantages and these are
described and discussed.",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Frank William John Olver (15 December 1924--23
April 2013)",
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
keywords = "level-index (LI) arithmetic",
remark = "This is the paper that proposed level-index (LI)
arithmetic.",
}
@Article{Clenshaw:1986:GEL,
author = "C. W. Clenshaw and Daniel W. Lozier and Frank W. J.
Olver and Peter R. Turner",
title = "Generalized Exponential and Logarithmic Functions",
journal = j-COMPUT-MATH-APPL,
volume = "12 (Part 2)",
number = "5--6",
pages = "1091--1101",
month = sep # "\slash " # dec,
year = "1986",
CODEN = "CMAPDK",
DOI = "https://doi.org/10.1016/0898-1221(86)90233-6",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
MRclass = "33A70 (39B10 65G05)",
MRnumber = "MR0871348 (88a:33027)",
MRreviewer = "M. E. Muldoon",
bibdate = "Fri Jul 09 06:27:26 2004",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/computmathappl1980.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0898122186902336",
abstract = "Generalizations of the exponential and logarithmic
functions are defined and an investigation is made of
two possible versions of these functions. Some
applications are described, including computer
arithmetic, properties of very large and very small
numbers, and the determination of functional roots.",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Frank William John Olver (15 December 1924--23
April 2013)",
fjournal = "Computers \& Mathematics with Applications. An
International Journal. Part B",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
xxjournal = j-COMPUT-MATH-APPL-B,
}
@Article{Clenshaw:1986:UAR,
author = "C. W. Clenshaw and Frank W. J. Olver",
title = "Unrestricted algorithms for reciprocals and square
roots",
journal = j-BIT,
volume = "26",
number = "4",
pages = "476--492",
month = dec,
year = "1986",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01935054",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65D20",
MRnumber = "863501",
MRreviewer = "Luciano Biasini",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
abstract = "Algorithms are presented for the computation of
reciprocals of nonzero real numbers and square roots of
positive numbers. There are no restrictions on the
range of the numbers or on the precision that may be
demanded in the results.",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Frank William John Olver (15 December 1924--23
April 2013)",
fjournal = "BIT. Nordisk Tidskrift for Informationsbehandling
(BIT)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Clenshaw:1987:LIA,
author = "C. W. Clenshaw and Frank W. J. Olver",
title = "Level-Index Arithmetic Operations",
journal = j-SIAM-J-NUMER-ANAL,
volume = "24",
number = "2",
pages = "470--485",
month = apr,
year = "1987",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0724034",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65G05 (65G99)",
MRnumber = "881377",
MRreviewer = "F. Szidarovszky",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
abstract = "In a recent paper the authors described a system for
the internal representation of numbers in a computer,
based on repeated exponentiations. The main objective
in introducing this system is to eradicate the problems
of overflow and underflow. The present paper supplies
algorithms for performing the four basic arithmetical
operations in the new system. The algorithm are
accompanied by error analyses, which show that the
algorithms can be executed with fixed-point arithmetic.
Illustrative examples are included.",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Frank William John Olver (15 December 1924--23
April 2013)",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Clenshaw:1988:SLI,
author = "C. W. Clenshaw and Peter R. Turner",
title = "The symmetric level-index system",
journal = j-IMA-J-NUMER-ANAL,
volume = "8",
number = "4",
pages = "517--526",
month = oct,
year = "1988",
CODEN = "IJNADH",
DOI = "https://doi.org/10.1093/imanum/8.4.517",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
MRclass = "65D99 (65G99)",
MRnumber = "89k:65025 (975611)",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib;
MathSciNet database",
abstract = "The purpose of this paper is to present the details of
an arithmetic system which virtually abolishes the
phenomena of computer overflow and underflow in a
logically symmetric manner. A generalized exponential
function is used in such a way as to enable very large
numbers to be represented with a uniform precision, and
very small numbers by reciprocation.",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
fjournal = "IMA Journal of Numerical Analysis",
journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
}
@InCollection{Clenshaw:1989:LIA,
author = "C. W. Clenshaw and F. W. J. Olver and Peter R.
Turner",
title = "Level-Index Arithmetic: {An} Introductory Survey",
crossref = "Turner:1989:NAP",
pages = "95--168",
year = "1989",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/978-3-662-39812-8_3;
https://doi.org/10.1007/BFb0085718",
MRclass = "65Q05",
MRnumber = "1022263",
MRreviewer = "Michael Sharpe",
bibdate = "Wed May 14 18:03:51 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1985.bib",
series = "Lecture Notes in Mathematics",
abstract = "During the past few years, two teams have been
pursuing research into the development and application
of level-index arithmetic, one in Maryland, USA, and
one in Lancaster, UK. The long-term members of the
Maryland team are F. W. J. Olver and D. W. Lozier,
their counterparts at Lancaster being C. W. Clenshaw
and P. R. Turner: several others have made
contributions, including S. Cramer, F. Golam-Hossen, R.
E. Kaylor, I. Reid and C. Sims.",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Frank William John Olver (15 December 1924--23
April 2013)",
journal-URL = "http://link.springer.com/bookseries/304",
mycrossref = "Turner:1989:NAP",
mynote = "An excellent reference for level index arithmetic.",
remark = "TO DO: DOI does not resolve at Springer, but does at
DOI agency: why??",
}
@Article{Clenshaw:1989:RSU,
author = "C. W. Clenshaw and Peter R. Turner",
title = "Root squaring using level-index arithmetic",
journal = j-COMPUTING,
volume = "43",
number = "2",
pages = "171--185",
month = jun,
year = "1989",
CODEN = "CMPTA2",
DOI = "https://doi.org/10.1007/BF02241860",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "65G99 (65H05)",
MRnumber = "1 034 362",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/tex/bib/computing.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
fjournal = "Computing. Archives for Scientific Computing",
journal-URL = "http://link.springer.com/journal/607",
subject-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
xxtitle = "{Das Graeffe-Verfahren mit H{\"o}henindexarithmetik}",
}
@InCollection{Clenshaw:1992:MLF,
author = "C. W. Clenshaw",
title = "Memories of {Leslie Fox}",
crossref = "Anonymous:1992:LF",
pages = "8--10",
year = "1992",
bibdate = "Tue Nov 14 06:12:08 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
}
@Article{Clenshaw:1992:OPL,
author = "Charles Clenshaw",
title = "Obituary: {Professor Leslie Fox}",
journal = "The Independent",
volume = "??",
number = "??",
pages = "??--??",
day = "10",
month = aug,
year = "1992",
bibdate = "Wed Nov 15 07:51:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib",
URL = "https://www.independent.co.uk/news/people/obituary-professor-leslie-fox-1539620.html",
acknowledgement = ack-nhfb,
remark = "From the article: ``Fox argued consistently for
adherence to basic principles; in particular he urged
that all computed results should be assumed wrong until
proved otherwise.''",
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
subject-dates = "Leslie Fox (1918--1 August 1992)",
}
@Article{Cheney:2003:WAL,
author = "E. Ward Cheney and Jeremey Levesley and Charles Goldie
and Charles W. Clenshaw and Graham Jameson and Peter
Turner and Rick Beatson and Manfred v. Golitschek",
title = "{William Allan Light: (19 April 1950--8 December
2002)}",
journal = j-J-APPROX-THEORY,
volume = "123",
number = "1",
pages = "1--12",
month = jul,
year = "2003",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/s0021-9045(03)00080-7",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
bibdate = "Sun Nov 12 08:10:25 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
remark = "William Allan Light was a doctoral student of C. W.
Clenshaw.",
}
@InCollection{Clenshaw:2004:WJH,
author = "C. W. Clenshaw",
booktitle = "Oxford Dictionary of National Biography",
title = "{Wilkinson, James Hardy} (1919--1986), mathematician",
publisher = pub-OXFORD,
address = pub-OXFORD:adr,
pages = "??--??",
month = sep,
year = "2004",
DOI = "https://doi.org/10.1093/ref:odnb/40032",
bibdate = "Mon Nov 13 06:14:58 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
subject-dates = "James H. Wilkinson (27 September 1919--5 October
1986)",
}
@Misc{Clenshaw:2016:OVR,
author = "C. W. Clenshaw and K. Miller and W. Meecham",
title = "obscure the value of a reference book which no
practical mathematician can afford",
howpublished = "Unknown",
year = "2016",
bibdate = "Sun Nov 12 09:30:35 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
URL = "https://www.semanticscholar.org/paper/obscure-the-value-of-a-reference-book-which-no-can-Clenshaw-Miller/cd7c67a84fe815bd76ab7b48997e345918fae72d",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
remark = "TO DO: What is this, and what is its true title?? The
fragmentary text on SemanticScholar suggests that it
refers to \cite{Goodwin:1948:T}, but other text there
refers to an IBM 7090, which was not developed until
the early 1960s.",
}
@Article{Ray:1963:CPO,
author = "W. D. Ray and A. E. N. T. Pitman",
title = "{Chebyshev} Polynomial and Other New Approximations to
{Mills}' Ratio",
journal = j-ANN-MATH-STAT,
volume = "34",
number = "3",
pages = "892--902",
month = sep,
year = "1963",
CODEN = "AASTAD",
DOI = "https://doi.org/10.1214/aoms/1177704012",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
MRclass = "65.20",
MRnumber = "0153101 (27 \#3070)",
MRreviewer = "C. W. Clenshaw",
bibdate = "Sat May 31 09:11:02 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/annmathstat.bib",
URL = "http://projecteuclid.org/euclid.aoms/1177704012",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Rice:1964:WA,
author = "John R. Rice",
title = "On the {$ L_\infty $} {Walsh} arrays for {$ \Gamma (x)
$} and {$ {\rm Erfc}(x) $}",
journal = j-MATH-COMPUT,
volume = "18",
number = "88",
pages = "617--626",
month = oct,
year = "1964",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2002947",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "41.17",
MRnumber = "MR0168978 (29 \#6233)",
MRreviewer = "C. W. Clenshaw",
bibdate = "Sat Dec 29 12:36:18 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/mathcomp.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/MATHCOMP/mathcomp1960.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@InProceedings{Stiefel:1965:PMP,
author = "E. Stiefel",
booktitle = "Approximation of Functions ({Proceedings of the
Symposium at General Motors Research Laboratory,
1964})",
title = "Phase methods for polynomial approximation",
publisher = pub-ELSEVIER,
address = pub-ELSEVIER:adr,
pages = "68--82",
year = "1965",
MRclass = "41.15",
MRnumber = "0190592",
MRreviewer = "C. W. Clenshaw",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Birkhoff:1966:RRA,
author = "Garrett Birkhoff and C. de Boor and B. Swartz and B.
Wendroff",
title = "{Rayleigh--Ritz} Approximation by Piecewise Cubic
Polynomials",
journal = j-SIAM-J-NUMER-ANAL,
volume = "3",
number = "2",
pages = "188--203",
month = jun,
year = "1966",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0703015",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65.40",
MRnumber = "203926",
MRreviewer = "C. W. Clenshaw",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
ZMnumber = "0143.38002",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "SIAM Journal on Numerical Analysis",
GB-number = "137",
journal-URL = "http://epubs.siam.org/sinum",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
ZBmath = "3231517",
}
@Article{Olver:1967:BSS,
author = "F. W. J. Olver",
title = "Bounds for the solutions of second-order linear
difference equations",
journal = j-J-RES-NATL-BUR-STAND-B,
volume = "71B",
number = "4",
pages = "161--166",
month = oct # "\slash " # dec,
year = "1967",
CODEN = "JNBBAU",
DOI = "https://doi.org/10.6028/jres.071B.021",
ISSN = "0022-4340 (print), 2376-5283 (electronic)",
ISSN-L = "0022-4340",
MRclass = "65.70",
MRnumber = "229407",
MRreviewer = "Charles William Clenshaw",
bibdate = "Sun Nov 5 09:03:34 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
fjournal = "Journal of Research of the National Bureau of
Standards. Section B. Mathematics and Mathematical
Physics",
journal-URL = "http://www.nist.gov/nvl/jrespastpapers.cfm",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@InProceedings{Todd:1967:ICZ,
author = "John Todd",
booktitle = "Inequalities ({Proceedings of a Symposium at
Wright-Patterson Air Force Base, Ohio, 1965})",
title = "Inequalities of {Chebyshev}, {Zolotareff}, {Cauer},
and {W. B. Jordan}",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "321--328",
year = "1967",
MRclass = "41.40",
MRnumber = "222532",
MRreviewer = "C. W. Clenshaw",
bibdate = "Sat Oct 21 14:25:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib",
acknowledgement = ack-nhfb,
author-dates = "John Todd (16 May 1911--21 June 2007)",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Taylor:1968:APH,
author = "G. D. Taylor",
title = "On approximation by polynomials having restricted
ranges",
journal = j-SIAM-J-NUMER-ANAL,
volume = "5",
number = "2",
pages = "258--268",
month = jun,
year = "1968",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0705022",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "41.40",
MRnumber = "252927",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Holdeman:1969:MAF,
author = "Jonas T. {Holdeman, Jr.}",
title = "A method for the approximation of functions defined by
formal series expansions in orthogonal polynomials",
journal = j-MATH-COMPUT,
volume = "23",
number = "106",
pages = "275--287",
month = apr,
year = "1969",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2004422",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "41.30 (42.00)",
MRnumber = "251412",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Jerome:1969:S,
author = "J. W. Jerome and L. L. Schumaker",
title = "On {$ L g $}-splines",
journal = j-J-APPROX-THEORY,
volume = "2",
pages = "29--49",
year = "1969",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(69)90029-x",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "41.30",
MRnumber = "241864",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Oliver:1969:EET,
author = "J. Oliver",
title = "An error estimation technique for the solution of
ordinary differential equations in {Chebyshev} series",
journal = j-COMP-J,
volume = "12",
number = "1",
pages = "57--62",
month = feb,
year = "1969",
CODEN = "CMPJA6",
DOI = "https://doi.org/10.1093/comjnl/12.1.57",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
MRclass = "65.61",
MRnumber = "240990",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Rowland:1969:LDP,
author = "John H. Rowland",
title = "On the location of the deviation points in {Chebyshev}
approximation by polynomials",
journal = j-SIAM-J-NUMER-ANAL,
volume = "6",
number = "1",
pages = "118--126",
month = mar,
year = "1969",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0706013",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65.20 (41.00)",
MRnumber = "250442",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Schumaker:1969:APH,
author = "L. L. Schumaker and G. D. Taylor",
title = "On approximations by polynomials having restricted
ranges. {II}",
journal = j-SIAM-J-NUMER-ANAL,
volume = "6",
number = "1",
pages = "31--36",
month = mar,
year = "1969",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0706003",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "41.15",
MRnumber = "257610",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Taylor:1969:AFH,
author = "G. D. Taylor",
title = "Approximation by functions having restricted ranges.
{III}",
journal = j-J-MATH-ANAL-APPL,
volume = "27",
pages = "241--248",
year = "1969",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(69)90045-6",
ISSN = "0022-247x (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "41.15",
MRnumber = "257611",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@InProceedings{Urabe:1969:NSB,
author = "Minoru Urabe",
booktitle = "Conference on Numerical Solution of Differential
Equations ({Dundee, 1969})",
title = "Numerical solution of boundary value problems in
{Chebyshev} series --- a method of computation and
error estimation",
volume = "109",
publisher = pub-SV,
address = pub-SV:adr,
pages = "40--86",
year = "1969",
MRclass = "65.62",
MRnumber = "275690",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
series = "Lecture Notes in Math.",
acknowledgement = ack-nhfb,
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@InProceedings{Mason:1970:OPA,
author = "J. C. Mason",
booktitle = "Approximation Theory ({Proceedings of the Symposium,
Lancaster, 1969})",
title = "Orthogonal polynomial approximation methods in
numerical analysis",
publisher = "Academic Press, London-New York",
pages = "7--33",
year = "1970",
MRclass = "41.15 (65.00)",
MRnumber = "270034",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Roulier:1970:PBC,
author = "John A. Roulier",
title = "Permissable bounds on the coefficients of
approximating polynomials",
journal = j-J-APPROX-THEORY,
volume = "3",
pages = "117--122",
year = "1970",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(70)90018-3",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "41.15",
MRnumber = "262740",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Taylor:1970:OSA,
author = "G. D. Taylor",
title = "Optimal starting approximations for {Newton}'s
method",
journal = j-J-APPROX-THEORY,
volume = "3",
pages = "156--163",
year = "1970",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(70)90024-9",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "65.50",
MRnumber = "263234",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Dierieck:1971:PCA,
author = "C. Dierieck and Y. Kamp",
title = "Polynomial {Chebyshev} approximation of a complex
transfer function",
journal = j-COMPUTING,
volume = "8",
number = "3--4",
pages = "335--342",
month = sep,
year = "1971",
CODEN = "CMPTA2",
DOI = "https://doi.org/10.1007/bf02234115",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "65D15",
MRnumber = "297095",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Computing. Archiv f{\"{u}}r Elektronisches Rechnen.
Archives for Electronic Computing",
journal-URL = "http://link.springer.com/journal/607",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Kambo:1971:ECG,
author = "N. S. Kambo",
title = "Error of certain {Gauss} quadrature formulas",
journal = j-J-INST-MATH-APPL,
volume = "7",
number = "3",
pages = "303--307",
month = jun,
year = "1971",
CODEN = "JMTAA8",
DOI = "https://doi.org/10.1093/imamat/7.3.303",
ISSN = "0020-2932",
ISSN-L = "0020-2932",
MRclass = "65.55",
MRnumber = "44 #4903 (287700)",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib",
ZMnumber = "0221.65042",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Institute of Mathematics and its
Applications",
journal-URL = "http://imamat.oxfordjournals.org/content/by/year",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Murty:1971:BAC,
author = "V. N. Murty",
title = "Best approximation with {Chebyshev} polynomials",
journal = j-SIAM-J-NUMER-ANAL,
volume = "8",
number = "4",
pages = "717--721",
month = dec,
year = "1971",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0708065",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65D15",
MRnumber = "292263",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Rosman:1971:CAR,
author = "Bernard H. Rosman and Peter D. Rosenbaum",
title = "{Chebyshev} approximation of regulated functions by
unisolvent families",
journal = j-J-APPROX-THEORY,
volume = "4",
pages = "113--119",
year = "1971",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(71)90022-0",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "41.40",
MRnumber = "279500",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Braess:1972:TPS,
author = "D. Braess",
title = "On topological properties of sets admitting
varisolvent functions",
journal = j-PROC-AM-MATH-SOC,
volume = "34",
number = "2",
pages = "453--456",
month = aug,
year = "1972",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.2307/2038389",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "41A65",
MRnumber = "301431",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Carasso:1972:DHA,
author = "C. Carasso",
title = "Densit{\'e} des hypoth{\`e}ses assurant la convergence
de l'algorithme de {R{\'e}m{\`e}s}. ({French})
[{Density} of hypotheses ensuring the convergence of
the {R{\'e}m{\`e}s} algorithm]",
journal = "Revue Fran\c{c}aise d'Automatique, Informatique et
Recherche Op\'{e}rationnelle",
volume = "6",
pages = "69--84",
year = "1972",
ISSN = "0035-3035",
ISSN-L = "0035-3035",
MRclass = "65D15 (41A50)",
MRnumber = "362834",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
ajournal = "Rev. Fran\c{c}aise Automat. Informat. Recherche
Op\'{e}rationnelle",
fjournal = "Revue Fran\c{c}aise d'Automatique, Informatique et
Recherche Op\'{e}rationnelle",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Carasso:1972:EAR,
author = "Claude Carasso",
title = "{{\'E}}tude de l'algorithme de {R{\'e}m{\`e}s} en
l'absence de condition de {Haar} ({French}) [Study of
the algorithm {R{\'e}m{\`e}s} in the absence of {Haar}
condition]",
journal = j-NUM-MATH,
volume = "20",
number = "2",
pages = "165--178",
month = apr,
year = "1972",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01404405",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65D15 (41A50)",
MRnumber = "319349",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
language = "French",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Malenge:1972:AMQ,
author = "Jean-Pierre Maleng{\'e} and Jean Pouget",
title = "Approximation en moyenne quadratique d'une fonction
par une somme d'exponentielles. {Cas} du meilleur
conditionnement. ({French}) [{Mean} square
approximation of a function by a sum of exponentials.
{Case} of the best packaging]",
journal = j-C-R-ACAD-SCI-PARIS-SER-AB,
volume = "275",
pages = "A1347--A1349",
year = "1972",
CODEN = "CHASAP",
ISSN = "0151-0509",
ISSN-L = "0151-0509",
MRclass = "65D15",
MRnumber = "311075",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Comptes Rendus Hebdomadaires des S\'{e}ances de
l'Acad\'{e}mie des Sciences. S\'{e}ries A et B",
language = "French",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Matthews:1972:AOB,
author = "J. W. Matthews",
title = "An algorithm for obtaining best approximations on sets
of positive polynomials",
journal = j-SIAM-J-NUMER-ANAL,
volume = "9",
number = "4",
pages = "734--742",
month = dec,
year = "1972",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65D15",
MRnumber = "317517",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
URL = "http://links.jstor.org/sici?sici=0036-1429(197212)9:4<734:AAFOBA>2.0.CO;2-T;
https://www.jstor.org/stable/2156224",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Roulier:1972:APR,
author = "John A. Roulier and Gerald D. Taylor",
title = "Approximation by polynomials with restricted ranges of
their derivatives",
journal = j-J-APPROX-THEORY,
volume = "5",
pages = "216--227",
year = "1972",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(72)90015-9",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "41A50",
MRnumber = "352821",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Tuan:1972:CSE,
author = "P. D. Tuan and David Elliott",
title = "Coefficients in series expansions for certain classes
of functions",
journal = j-MATH-COMPUT,
volume = "26",
number = "117",
pages = "213--232",
month = jan,
year = "1972",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2004731",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "42A52 (65D99)",
MRnumber = "301440",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Andria:1973:CTI,
author = "George D. Andria",
title = "Convergence theorems for integral polynomial
approximations",
journal = j-J-APPROX-THEORY,
volume = "7",
pages = "319--324",
year = "1973",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(73)90034-8",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "41A10",
MRnumber = "361534",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Basu:1973:DCS,
author = "N. K. Basu",
title = "On double {Chebyshev} series approximation",
journal = j-SIAM-J-NUMER-ANAL,
volume = "10",
number = "3",
pages = "496--505",
month = jun,
year = "1973",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0710045",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65R05",
MRnumber = "331827",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Cohen:1973:PAF,
author = "Edgar A. {Cohen, Jr.}",
title = "Polynomial approximation of a function and its first
derivative in near minimax norms",
journal = j-MATH-COMPUT,
volume = "27",
number = "124",
pages = "817--827",
month = oct,
year = "1973",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2005515",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "41A10",
MRnumber = "330843",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Dunham:1973:CA,
author = "Ch. B. Dunham",
title = "{Chebyshev} approximation by {$ A^\ast \Phi (B x) $}",
journal = j-Z-ANGE-MATH-MECH,
volume = "53",
number = "6",
pages = "353--354",
year = "1973",
CODEN = "ZAMMAX",
DOI = "https://doi.org/10.1002/zamm.19730530511",
ISSN = "0044-2267 (print), 1521-4001 (electronic)",
ISSN-L = "0044-2267",
MRclass = "41A50",
MRnumber = "387903",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Zeitschrift f{\"{u}}r Angewandte Mathematik und
Mechanik. Ingenieurwissenschaftliche
Forschungsarbeiten",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Dunham:1973:CAL,
author = "Ch. B. Dunham",
title = "{Chebyshev} approximation by logarithmic families",
journal = j-Z-ANGE-MATH-MECH,
volume = "53",
number = "6",
pages = "352--353",
year = "1973",
CODEN = "ZAMMAX",
DOI = "https://doi.org/10.1002/zamm.19730530510",
ISSN = "0044-2267 (print), 1521-4001 (electronic)",
ISSN-L = "0044-2267",
MRclass = "41A50",
MRnumber = "387902",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Zeitschrift f{\"{u}}r Angewandte Mathematik und
Mechanik. Ingenieurwissenschaftliche
Forschungsarbeiten",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@InProceedings{Elliott:1973:DMA,
author = "D. Elliott",
booktitle = "Error, approximation, and accuracy ({Proceedings of a
Seminar, Australian National University, Canberra,
1972})",
title = "A direct method for ``almost'' best uniform
approximations",
publisher = "University of Queensland Press",
address = "St. Lucia, Brisbane, QLD, Australia",
pages = "129--143",
year = "1973",
MRclass = "65D15 (41A50)",
MRnumber = "421038",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Handscomb:1973:RST,
author = "D. C. Handscomb",
title = "The relative sizes of the terms in {Chebyshev} and
other ultraspherical expansions",
journal = j-J-INST-MATH-APPL,
volume = "11",
number = "2",
pages = "241--246",
month = apr,
year = "1973",
CODEN = "JMTAA8",
DOI = "https://doi.org/10.1093/imamat/11.2.241",
ISSN = "0020-2932",
ISSN-L = "0020-2932",
MRclass = "41A10",
MRnumber = "48 #11850 (333525)",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib",
ZMnumber = "0254.42008",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Institute of Mathematics and its
Applications",
journal-URL = "http://imamat.oxfordjournals.org/content/by/year",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Hays:1973:MDE,
author = "Richard O. Hays",
title = "Multi-dimensional extension of the {Chebyshev}
polynomials",
journal = j-MATH-COMPUT,
volume = "27",
number = "123",
pages = "621--624",
month = jul,
year = "1973",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2005665",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "41A10",
MRnumber = "333526",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Singhal:1973:ASR,
author = "K. Singhal and J. Vlach",
title = "Accuracy and speed of real and complex interpolation",
journal = j-COMPUTING,
volume = "11",
number = "2",
pages = "147--158",
year = "1973",
CODEN = "CMPTA2",
DOI = "https://doi.org/10.1007/bf02252904",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "65D05",
MRnumber = "378351",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Computing. Archiv f{\"{u}}r Elektronisches Rechnen.
Archives for Electronic Computing",
journal-URL = "http://link.springer.com/journal/607",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Baker:1974:CIC,
author = "George A. {Baker, Jr.}",
title = "Certain invariance and convergence properties of the
{Pad{\'e}} approximant",
journal = j-ROCKY-MOUNTAIN-J-MATH,
volume = "4",
number = "2",
pages = "141--149",
month = jun,
year = "1974",
CODEN = "RMJMAE",
DOI = "https://doi.org/10.1216/RMJ-1974-4-2-141",
ISSN = "0035-7596 (print), 1945-3795 (electronic)",
ISSN-L = "0035-7596",
MRclass = "41A20",
MRnumber = "361548",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "The Rocky Mountain Journal of Mathematics",
journal-URL = "http://projecteuclid.org/euclid.rmjm",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Birkhoff:1974:MAL,
author = "Garrett Birkhoff and James C. Cavendish and William J.
Gordon",
title = "Multivariate approximation by locally blended
univariate interpolants",
journal = j-PROC-NATL-ACAD-SCI-USA,
volume = "71",
number = "9",
pages = "3423--3425",
day = "1",
month = sep,
year = "1974",
CODEN = "PNASA6",
DOI = "https://doi.org/10.1073/pnas.71.9.3423",
ISSN = "0027-8424 (print), 1091-6490 (electronic)",
ISSN-L = "0027-8424",
MRclass = "65N35 (41A05) 41A63 65D05 41A15 41A25 65N30",
MRnumber = "356543",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
ZMnumber = "0292.41002",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Proceedings of the National Academy of Sciences of the
United States of America",
GB-number = "172",
journal-URL = "http://www.pnas.org/content/by/year",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
ZBmath = "3457466",
}
@Article{Call:1974:SFS,
author = "E. S. Call and F. F. Judd",
title = "Surface fitting by separation",
journal = j-J-APPROX-THEORY,
volume = "12",
pages = "283--290",
year = "1974",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(74)90069-0",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "65D10",
MRnumber = "362828",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Jaiswal:1974:PRT,
author = "D. V. Jaiswal",
title = "On polynomials related to {Tchebichef} polynomials of
the second kind",
journal = j-FIB-QUART,
volume = "12",
pages = "263--265",
year = "1974",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
MRclass = "41A10",
MRnumber = "355421",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Neuman:1974:PUP,
author = "E. Neuman",
title = "Projections in uniform polynomial approximations",
journal = j-ZASTOS-MAT,
volume = "14",
pages = "99--125",
year = "1974",
CODEN = "ZAMTAK",
ISSN = "0044-1899",
ISSN-L = "0044-1899",
MRclass = "41A10",
MRnumber = "333528",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Polska Akademia Nauk. Instytut Matematyczny.
Zastosowania Matematyki",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Newbery:1974:EAP,
author = "A. C. R. Newbery",
title = "Error analysis for polynomial evaluation",
journal = j-MATH-COMPUT,
volume = "28",
number = "127",
pages = "789--793",
month = jul,
year = "1974",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2005700",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65D15",
MRnumber = "373227",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Taylor:1974:EQP,
author = "G. D. Taylor and J. Williams",
title = "Existence questions for the problem of {Chebyshev}
approximation by interpolating rationals",
journal = j-MATH-COMPUT,
volume = "28",
number = "128",
pages = "1097--1103",
month = oct,
year = "1974",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2005368",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "41A50",
MRnumber = "355435",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{DeKerf:1975:IMS,
author = "Joseph L. F. {De Kerf}",
title = "The interpolation method of {Sprague--Karup}",
journal = j-J-COMPUT-APPL-MATH,
volume = "1",
number = "2",
pages = "101--110",
month = jun,
year = "1975",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/0771-050X(75)90027-3",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "65D05 (68A10)",
MRnumber = "381233",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Dunham:1975:CAP,
author = "Charles B. Dunham",
title = "{Chebyshev} approximation by polynomial-rational
sums",
journal = j-Z-ANGE-MATH-MECH,
volume = "55",
number = "12",
pages = "758--759",
year = "1975",
CODEN = "ZAMMAX",
DOI = "https://doi.org/10.1002/zamm.19750551211",
ISSN = "0044-2267 (print), 1521-4001 (electronic)",
ISSN-L = "0044-2267",
MRclass = "41A50",
MRnumber = "402354",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Zeitschrift f{\"{u}}r Angewandte Mathematik und
Mechanik. Ingenieurwissenschaftliche
Forschungsarbeiten",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Oliver:1975:SME,
author = "J. Oliver",
title = "Stable methods for evaluating the points $ \cos (i \pi
/ n) $",
journal = j-J-INST-MATH-APPL,
volume = "16",
number = "2",
pages = "247--257",
month = oct,
year = "1975",
CODEN = "JMTAA8",
DOI = "https://doi.org/10.1093/imamat/16.2.247",
ISSN = "0020-2932",
ISSN-L = "0020-2932",
MRclass = "65D05",
MRnumber = "52 #12292 (391471)",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib",
ZMnumber = "0308.65011",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Institute of Mathematics and its
Applications",
journal-URL = "http://imamat.oxfordjournals.org/content/by/year",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{deBruin:1976:CPT,
author = "M. G. de Bruin",
title = "Convergence in the {Pad{\'e}} table for {$_1 F_1 (1;
c; x) $}",
journal = j-INDAG-MATH,
volume = "38",
number = "5",
pages = "408--418",
year = "1976",
CODEN = "IMTHBJ",
ISSN = "0019-3577 (print), 1872-6100 (electronic)",
ISSN-L = "0019-3577",
MRclass = "41A20",
MRnumber = "425443",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
note = "Nederl. Akad. Wetensch. Proc. Ser. A {\bf 79}",
acknowledgement = ack-nhfb,
fjournal = "Indagationes Mathematic{\ae}",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Deuflhard:1976:ASC,
author = "P. Deuflhard",
title = "On algorithms for the summation of certain special
functions",
journal = j-COMPUTING,
volume = "17",
number = "1",
pages = "37--48",
month = mar,
year = "1976",
CODEN = "CMPTA2",
DOI = "https://doi.org/10.1007/BF02252258",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "65B10",
MRnumber = "483281",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Computing. Archives for Scientific Computing",
journal-URL = "http://link.springer.com/journal/607",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Freud:1976:APT,
author = "G. Freud and A. Giroux and Q. I. Rahman",
title = "Sur l'approximation polynomiale sur tout l'axe
r{\'e}el, ({French}) [{On} the polynomial approximation
on the whole real axis]",
journal = j-CAN-J-MATH,
volume = "28",
number = "5",
pages = "961--967",
day = "1",
month = oct,
year = "1976",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1976-093-1",
ISSN = "0008-414X",
ISSN-L = "0008-414X",
MRclass = "41A10",
MRnumber = "425425",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics. Journal Canadien de
Math\'{e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
language = "French",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@InProceedings{Lal:1976:CLM,
author = "M. Lal and D. Moffatt",
booktitle = "Proceedings of the {Fifth Manitoba Conference on
Numerical Mathematics (University of Manitoba,
Winnipeg, Manitoba, 1975)}",
title = "{CHEBYLAN} --- a language for manipulating {Chebyshev}
polynomials",
volume = "XVI",
publisher = "Utilitas Math.",
address = "Winnipeg, MB, Canada",
pages = "439--448",
year = "1976",
MRclass = "65B99 (68A10)",
MRnumber = "405784",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
series = "Congress. Numer.",
acknowledgement = ack-nhfb,
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Lin:1976:GNP,
author = "E. J. Lin",
title = "Generalized nesting procedure of multiple series",
journal = j-TAMKANG-J-MATH,
volume = "7",
number = "2",
pages = "195--199",
year = "1976",
ISSN = "0049-2930 (print), 2073-9826 (electronic)",
ISSN-L = "2073-9826",
MRclass = "65Q05",
MRnumber = "458963",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Tamkang Journal of Mathematics",
journal-URL = "http://journals.math.tku.edu.tw/index.php/TKJM",
remark = "No issues online before v21 (1990).",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@InProceedings{Luke:1976:EET,
author = "Yudell L. Luke",
booktitle = "Theory of approximation, with applications
(Proceedings of the Conference, {University of Calgary,
Calgary, Alberta, 1975; dedicated to the memory of
Eckard Schmidt})",
title = "On the expansion of exponential type integrals in
series of {Chebyshev} polynomials",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "180--199",
year = "1976",
MRclass = "65D99 (41A55)",
MRnumber = "415994",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Patent:1976:EQE,
author = "Paul D. Patent",
title = "The effect of quadrature errors in the computation of
{$ L^2 $} piecewise polynomial approximations",
journal = j-SIAM-J-NUMER-ANAL,
volume = "13",
number = "3",
pages = "344--361",
month = jun,
year = "1976",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0713031",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65D15",
MRnumber = "405797",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Talbot:1976:UAP,
author = "A. Talbot",
title = "The uniform approximation of polynomials by
polynomials of lower degree",
journal = j-J-APPROX-THEORY,
volume = "17",
number = "3",
pages = "254--279",
year = "1976",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(76)90088-5",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "41A10",
MRnumber = "425431",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@InProceedings{Fullerton:1977:SAA,
author = "L. Wayne Fullerton",
booktitle = "{Pad{\'e}} and rational approximation ({Proceedings of
the International Symposium, University of South
Florida, Tampa, Florida, 1976})",
title = "Software for approximations or approximation theory as
an experimental science",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "399--411",
year = "1977",
ISBN = "0-12-614150-9",
ISBN-13 = "978-0-12-614150-4",
MRclass = "65D99",
MRnumber = "468122",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Habib:1977:DAF,
author = "Anwar Habib and Abdul Wafi",
title = "Degree of approximation of functions by modified
{Bernstein} polynomial on an unbounded interval",
journal = "Indian Journal of Pure and Applied Mathematics",
volume = "8",
number = "6",
pages = "691--695",
year = "1977",
ISSN = "0019-5588 (print), 0975-7465 (electronic)",
ISSN-L = "0019-5588",
MRclass = "41A10",
MRnumber = "467086",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
ajournal = "Indian J. Pure Appl. Math.",
fjournal = "Indian Journal of Pure and Applied Mathematics",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Orlov:1977:ADE,
author = "K. Orlov",
title = "Application of differential equations for transforming
the implicit functions into the explicit ones",
journal = "Matemati{\v{c}}ki Vesnik",
volume = "1/14/29",
number = "3",
pages = "295--302",
year = "1977",
ISSN = "0025-5165 (print), 2406-0682 (electronic)",
ISSN-L = "0025-5165",
MRclass = "65H10 (65L99)",
MRnumber = "483390",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
ajournal = "Mat. Vesnik",
fjournal = "Matemati{\v{c}}ki Vesnik",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Orlov:1977:EQS,
author = "K. Orlov",
title = "The elimination of quantities and the solving of
systems of transcendent equations by means of
differential equations",
journal = "Matemati{\v{c}}ki Vesnik",
volume = "1/14/29",
number = "3",
pages = "303--308",
year = "1977",
ISSN = "0025-5165 (print), 2406-0682 (electronic)",
ISSN-L = "0025-5165",
MRclass = "65H10 (65L99)",
MRnumber = "483391",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
ajournal = "Mat. Vesnik",
fjournal = "Matemati{\v{c}}ki Vesnik",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@InProceedings{Randazzo:1977:DFE,
author = "D. J. Randazzo",
booktitle = "Numerical analysis ({Proceedings of the Colloquium,
Lausanne, 1976})",
title = "Data fits with exponential functions",
volume = "37",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "77--94",
year = "1977",
ISBN = "3-7643-0939-3",
ISBN-13 = "978-3-7643-0939-8",
MRclass = "65D15",
MRnumber = "468111",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
series = "Internat. Ser. Numer. Math.",
acknowledgement = ack-nhfb,
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Chauhan:1978:UCR,
author = "B. P. S. Chauhan and K. B. Srivastava",
title = "Uniform convergence and rapidity of convergence of
{Grunwald}-type operators on extended {Tchebychev}
nodes of second kind",
journal = "Indian Journal of Pure and Applied Mathematics",
volume = "9",
number = "12",
pages = "1337--1343",
year = "1978",
ISSN = "0019-5588 (print), 0975-7465 (electronic)",
ISSN-L = "0019-5588",
MRclass = "41A05",
MRnumber = "512593",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
ajournal = "Indian J. Pure Appl. Math.",
fjournal = "Indian Journal of Pure and Applied Mathematics",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@InProceedings{Ostrowski:1978:IRN,
author = "Alexander M. Ostrowski and Raymond M. Redheffer",
booktitle = "General inequalities {(Proceedings of the First
International Conference, Mathematics Research
Institute, Oberwolfach, 1976), I}",
title = "Inequalities related to the normal law",
volume = "41",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "125--129",
year = "1978",
ISBN = "3-7643-0972-5",
ISBN-13 = "978-3-7643-0972-5",
MRclass = "26A87",
MRnumber = "499042",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
series = "Internat. Ser. Numer. Math.",
acknowledgement = ack-nhfb,
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@InProceedings{Peherstorfer:1978:ESM,
author = "Franz Peherstorfer",
booktitle = "Linear spaces and approximation ({Proceedings of the
Conference, Mathematics Research Institute,
Oberwolfach, 1977})",
title = "{Erweiterung des Satzes von Markoff}. ({German})
[{Extension} of {Markoff's Theorem}]",
volume = "40",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "423--431",
year = "1978",
ISBN = "3-7643-0979-2",
ISBN-13 = "978-3-7643-0979-4",
MRclass = "41A50",
MRnumber = "499923",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
series = "Internat. Ser. Numer. Math.",
acknowledgement = ack-nhfb,
language = "German",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@InProceedings{Schoenberg:1978:CMT,
author = "I. J. Schoenberg",
booktitle = "{Fourier} analysis and approximation theory
{(Proceedings of the Colloquium, Budapest, 1976), Vol.
II}",
title = "On {Chebyshev} and {Markov}-type problems for
polynomials in a circular ring",
volume = "19",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "697--712",
year = "1978",
ISBN = "0-444-85197-6",
ISBN-13 = "978-0-444-85197-0",
MRclass = "41A10",
MRnumber = "540346",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
series = "Colloq. Math. Soc. J\'{a}nos Bolyai",
acknowledgement = ack-nhfb,
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Gautschi:1979:CPP,
author = "Walter Gautschi",
title = "The Condition of Polynomials in Power Form",
journal = j-MATH-COMPUT,
volume = "33",
number = "145",
pages = "343--352",
month = jan,
year = "1979",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/S0025-5718-1979-0514830-6;
https://doi.org/10.2307/2006047",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65D99 (41A10)",
MRnumber = "80f:65034 (514830)",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Computer Sci., Purdue Univ., W.Lafayette, IN,
USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "bounds; condition number; coordinate map; origin;
polynomials; power form; upper",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
treatment = "T Theoretical or Mathematical",
}
@Article{Kusterer:1979:SEP,
author = "Roland Kusterer and Manfred Reimer",
title = "Stable Evaluation of Polynomials in Time $ \log n $",
journal = j-MATH-COMPUT,
volume = "33",
number = "147",
pages = "1019--1031",
month = jul,
year = "1979",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/S0025-5718-1979-0528054-X;
https://doi.org/10.2307/2006075",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65G05 (68C25)",
MRnumber = "80d:65050 (528054)",
MRreviewer = "C. W. Clenshaw",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Math. Inst., University of Dortmund, Dortmund, West
Germany",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "algorithm; approximation theory; number of
multiplications to evaluate a polynomial; polynomials",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Schaback:1979:SEA,
author = "Robert Schaback",
title = "Suboptimal Exponential Approximations",
journal = j-SIAM-J-NUMER-ANAL,
volume = "16",
number = "6",
pages = "1007--1018",
month = dec,
year = "1979",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0716074",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65D15 (41A35)",
MRnumber = "81b:65017 (551322)",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Oliver:1980:ANT,
author = "J. Oliver",
title = "On the application of {Newbery}'s transformation to
the {Reinsch} polynomial evaluation scheme",
journal = j-J-COMPUT-APPL-MATH,
volume = "6",
number = "1",
pages = "43--52",
month = mar,
year = "1980",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/0771-050X(80)90016-9",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "65G05 (65D20)",
MRnumber = "568602",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Sloan:1980:PIC,
author = "Ian H. Sloan and William E. Smith",
title = "Product integration with the {Clenshaw--Curtis}
points: implementation and error estimates",
journal = j-NUM-MATH,
volume = "34",
number = "4",
pages = "387--401",
month = dec,
year = "1980",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01403676",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65D30",
MRnumber = "81g:65030 (577405)",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4180 (Integral equations)",
corpsource = "School of Math., Univ. of New South Wales, Kensington,
NSW, Australia",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "Clenshaw Curtis point; error analysis; error
estimates; integration; product integration rule",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Lehman:1981:NEI,
author = "D. R. Lehman and William C. Parke and L. C. Maximon",
title = "Numerical evaluation of integrals containing a
spherical {Bessel} function by product integration",
journal = j-J-MATH-PHYS,
volume = "22",
number = "7",
pages = "1399--1413",
month = jul,
year = "1981",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.525061",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "65D30",
MRnumber = "82i:65014 (626130)",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v22/i7/p1399_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
pagecount = "15",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Pryce:1981:REA,
author = "J. D. Pryce",
title = "Round-off error analysis with fewer tears",
journal = j-BULL-INST-MATH-APPL,
volume = "17",
number = "2--3",
pages = "40--47",
year = "1981",
CODEN = "IMTABW",
ISSN = "0905-5628",
MRclass = "65G05",
MRnumber = "610672",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the Institute of Mathematics and its
Applications",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Wills:1982:RCA,
author = "C. A. Wills and J. M. Blair and P. L. Ragde",
title = "Rational {Chebyshev} approximations for the {Bessel}
functions {$ J_0 (x) $}, {$ J_1 (x) $}, {$ Y_0 (x) $},
{$ Y_1 (x) $}",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "617--623",
month = oct,
year = "1982",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/S0025-5718-1982-0669653-4;
https://doi.org/10.2307/2007338",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65D20 (33A40 41A50)",
MRnumber = "83j:65030 (669653)",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0260 (Optimisation techniques); B0290F (Interpolation
and function approximation); C1180 (Optimisation
techniques); C4130 (Interpolation and function
approximation)",
corpsource = "AEG Ltd., Chalk River Nuclear Labs., Ont., Canada",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "approximations; Bessel functions; Chebyshev; Chebyshev
approximation; formulae; McMahon asymptotic; minimax
techniques; near-minimax rational approximation",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
treatment = "T Theoretical or Mathematical",
}
@Article{Coleman:1983:CEB,
author = "J. P. Coleman and A. J. Monaghan",
title = "{Chebyshev} expansions for the {Bessel} function {$
J_n(z) $} in the complex plane",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "343--366",
month = jan,
year = "1983",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/S0025-5718-1983-0679451-4;
https://doi.org/10.2307/2007380",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65A05 (30E10 33A40 65D20)",
MRnumber = "84c:65013 (679451)",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Smarzewski:1985:SOD,
author = "Ryszard Smarzewski",
title = "{$X$}-splines of odd degree",
journal = j-J-APPROX-THEORY,
volume = "44",
number = "4",
pages = "295--314",
year = "1985",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(85)90083-8",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "41A15 (65D07)",
MRnumber = "804847",
MRreviewer = "C. W. Clenshaw",
bibdate = "Mon Nov 13 08:14:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
reviewer-dates = "Charles William Clenshaw (15 March 1926--23
September 2004)",
}
@Article{Goodwin:1948:T,
author = "E. T. Goodwin and J. Staton",
title = "Table of $ d u $",
journal = j-QUART-J-MECH-APPLIED-MATH,
volume = "1",
number = "1",
pages = "319--326",
month = jan,
year = "1948",
CODEN = "QJMMAV",
DOI = "https://doi.org/10.1093/qjmam/1.1.319",
ISSN = "0033-5614 (print), 1464-3855 (electronic)",
ISSN-L = "0033-5614",
bibdate = "Mon Nov 13 10:31:25 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Quarterly Journal of Mechanics and Applied
Mathematics",
journal-URL = "http://qjmam.oxfordjournals.org/content/by/year",
}
@Article{Imhof:1963:MNI,
author = "J. P. Imhof",
title = "On the method for numerical integration of {Clenshaw}
and {Curtis}",
journal = j-NUM-MATH,
volume = "5",
number = "1",
pages = "138--141",
month = dec,
year = "1963",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01385885",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.55",
MRnumber = "157482",
MRreviewer = "I. A. Stegun",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{W:1963:RDT,
author = "J. W. W.",
title = "Reviews and Descriptions of Tables and Books: {1 [C,
D, E, L, X]. --- C. W. Clenshaw, \booktitle{Chebyshev
Series for Mathematical Functions}, Mathematical
Tables, v. 5, National Physics Laboratory, Her
Majesty's Stationery Office, London, 1962, iv + 36 p.,
27.5 cm.}",
journal = j-MATH-COMPUT,
volume = "17",
number = "81",
pages = "88--88",
month = jan,
year = "1963",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/s0025-5718-1963-1781088-8;
https://doi.org/10.2307/2003739",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Sun Nov 12 10:04:45 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
remark = "TO DO: Why is this missing from journal bibliography
file, mathcomp1970.bib?; TO DO: this PDF has review by
John Todd",
remark-2 = "J. W. W. = J. W. Wrench, Jr.",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
xxURL = "https://www.ams.org/journals/mcom/1963-17-081/mcom-17-81-print-matter.pdf",
}
@Article{Filippi:1964:ATA,
author = "Siegfried Filippi",
title = "{Angen{\"a}herte Tschebyscheff-Approximation einer
Stammfunktion des Verfahrens von Clenshaw und Curtis}.
({German}) [{Chebyshev} Approximation of a Primitive
Function of the {Clenshaw--Curtis} Methods]",
journal = j-NUM-MATH,
volume = "6",
number = "1",
pages = "320--328",
month = dec,
year = "1964",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01386080",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.55",
MRnumber = "170472",
MRreviewer = "W. C. Rheinboldt",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
language = "German",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Smith:1965:QMB,
author = "Francis J. Smith",
title = "Quadrature methods based on the {Euler--Maclaurin}
formula and on the {Clenshaw--Curtis} method of
integration",
journal = j-NUM-MATH,
volume = "7",
number = "5",
pages = "406--411",
month = oct,
year = "1965",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01436254",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.55",
MRnumber = "191092",
MRreviewer = "R. A. Valentin",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Fraser:1966:RCC,
author = "W. Fraser and M. W. Wilson",
title = "Remarks on the {Clenshaw--Curtis} Quadrature Scheme",
journal = j-SIAM-REVIEW,
volume = "8",
number = "3",
pages = "322--327",
month = jul,
year = "1966",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1008064",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "65.55",
MRnumber = "203937",
MRreviewer = "Frank Stenger",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "http://epubs.siam.org/toc/siread/8/3;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review. A Publication of the Society for
Industrial and Applied Mathematics",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "July 1966",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Chawla:1968:EEC,
author = "M. M. Chawla",
title = "Error Estimates for the {Clenshaw--Curtis}
Quadrature",
journal = j-MATH-COMPUT,
volume = "22",
number = "103",
pages = "651--656",
month = jul,
year = "1968",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2004542",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65.55",
MRnumber = "228169",
MRreviewer = "Frank Stenger",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Elliott:1968:EAA,
author = "David Elliott",
title = "Error analysis of an algorithm for summing certain
finite series",
journal = j-J-AUSTRALIAN-MATH-SOC,
volume = "8",
number = "2",
pages = "213--221",
month = may,
year = "1968",
CODEN = "JAUMAX",
DOI = "https://doi.org/10.1017/s1446788700005267",
ISSN = "0004-9735 (print), 2059-9234 (electronic)",
ISSN-L = "0004-9735",
MRclass = "65.25",
MRnumber = "0230452",
MRreviewer = "U. C. Guha",
bibdate = "Fri Feb 9 15:20:35 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Australian Mathematical Society",
remark = "Analysis of Clenshaw algorithm for Chebyshev summation
\cite{Clenshaw:1955:NSC}, and report of region of
instability of that procedure",
}
@Article{OHara:1968:EEC,
author = "H. O'Hara and Francis J. Smith",
title = "Error estimation in the {Clenshaw--Curtis} quadrature
formula",
journal = j-COMP-J,
volume = "11",
number = "2",
pages = "213--219",
month = aug,
year = "1968",
CODEN = "CMPJA6",
DOI = "https://doi.org/10.1093/comjnl/11.2.213",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
MRclass = "65.55",
MRnumber = "230469",
bibdate = "Tue Dec 4 14:47:40 MST 2012",
bibsource = "http://comjnl.oxfordjournals.org/content/11/2.toc;
http://www3.oup.co.uk/computer_journal/hdb/Volume_11/Issue_02/;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/compj.bib;
https://www.math.utah.edu/pub/tex/bib/compj1960.bib",
URL = "http://comjnl.oxfordjournals.org/content/11/2/213.full.pdf+html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_11/Issue_02/110213.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_11/Issue_02/tiff/213.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_11/Issue_02/tiff/214.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_11/Issue_02/tiff/215.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_11/Issue_02/tiff/216.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_11/Issue_02/tiff/217.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_11/Issue_02/tiff/218.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_11/Issue_02/tiff/219.tif",
acknowledgement = ack-nhfb,
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Haavie:1969:MCC,
author = "T. H{\aa}vie",
title = "On a Modification of the {Clenshaw--Curtis} Quadrature
Formula",
journal = j-BIT,
volume = "9",
number = "4",
pages = "338--350",
month = dec,
year = "1969",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01935865",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65.55",
MRnumber = "256563",
bibdate = "Wed Jan 4 18:52:11 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=9&issue=4;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=9&issue=4&spage=338",
acknowledgement = ack-nhfb,
fjournal = "Nordisk Tidskrift for Informationsbehandling",
journal-URL = "http://link.springer.com/journal/10543",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Locher:1969:FQC,
author = "F. Locher",
title = "{Fehlerabsch{\"a}tzungen f{\"u}r das
Quadraturverfahren von Clenshaw und Curtis}. ({German})
[{Error} estimates for the quadrature method of
{Clenshaw} and {Curtis}]",
journal = j-COMPUTING,
volume = "4",
number = "4",
pages = "304--315",
month = dec,
year = "1969",
CODEN = "CMPTA2",
DOI = "https://doi.org/10.1007/bf02235465",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "65.55",
MRnumber = "263240",
MRreviewer = "J. G. Herriot",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/computing.bib;
INSPEC Axiom database (1968--date)",
abstract = "The Clenshaw--Curtis quadrature formula uses the
extremal points of the Chebyshev polynomial $ T_n(x) $
as nodes. By estimating the error of interpolation we
derive rather sharp error estimates if the number of
nodes is odd. Thereby it appears that a modified (open)
method which uses only the inner extremal points of $
T_n(x) $ as nodes gives better error estimates. In the
following we gain some derivative-free estimates using
the degree of approximation by algebraic polynomials.
Finally we consider holomorphic integrands; here the
Chebyshev series expansion of the given function offers
a favourable starting point for estimates.",
acknowledgement = ack-ec # " and " # ack-nhfb,
affiliation = "Univ. T{\"u}bingen, West Germany",
classification = "C4110",
description = "error analysis; integration; interpolation",
fjournal = "Computing. Archiv f{\"u}r Elektronisches Rechnen.
Archives for Electronic Computing",
journal-URL = "http://link.springer.com/journal/607",
language = "German",
received = "18 December 1968",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Hunter:1970:CME,
author = "D. B. Hunter",
title = "{Clenshaw}'s method for evaluating certain finite
series",
journal = j-COMP-J,
volume = "13",
number = "4",
pages = "378--381",
month = nov,
year = "1970",
CODEN = "CMPJA6",
DOI = "https://doi.org/10.1093/comjnl/13.4.378",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
MRclass = "65.25",
MRnumber = "272159",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
abstract = "It is shown that Clenshaw's method for evaluating
finite series involving functions which satisfy a
certain second-order recurrence-relation may be
interpreted as a generalisation of the `synthetic
division' method for evaluating polynomials. The
process is then extended to give algorithms for
dividing by a quadratic factor, and for evaluating the
derivative of the series. Methods for obtaining zeros
of the function defined by the series are also
discussed.",
acknowledgement = ack-nhfb,
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Boggs:1971:NIO,
author = "R. A. C. Boggs and F. J. Smith",
title = "A note on the integration of ordinary differential
equations using {Chebyshev} series",
journal = j-COMP-J,
volume = "14",
number = "3",
pages = "270--271",
month = aug,
year = "1971",
CODEN = "CMPJA6",
DOI = "https://doi.org/10.1093/comjnl/14.3.270",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Tue Dec 4 14:47:47 MST 2012",
bibsource = "http://comjnl.oxfordjournals.org/content/14/3.toc;
http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_03/;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/compj.bib;
https://www.math.utah.edu/pub/tex/bib/compj1970.bib",
URL = "http://comjnl.oxfordjournals.org/content/14/3/270.full.pdf+html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_03/140270.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_03/tiff/270.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_03/tiff/271.tif",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations)",
corpsource = "Queen's Univ., Belfast, UK",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
keywords = "Chebyshev; Chebyshev approximation; Chebyshev
polynomial; Clenshaw's Chebyshev; collocation method;
differential equations; integration; Lanczos' tau
method; method; ordinary differential equations; poles
and zeros; residual; series",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Kambo:1971:EBC,
author = "N. S. Kambo",
title = "Error Bounds for the {Clenshaw--Curtis} Quadrature
Formulas",
journal = j-BIT,
volume = "11",
number = "3",
pages = "299--309",
month = sep,
year = "1971",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/bf01931811",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65D30",
MRnumber = "292301",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=11&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=11&issue=3&spage=299",
acknowledgement = ack-nhfb,
fjournal = "Nordisk Tidskrift for Informationsbehandling",
journal-URL = "http://link.springer.com/journal/10543",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
xxISSN = "0901-246X",
}
@Article{Oliver:1971:PSC,
author = "J. Oliver",
title = "A practical strategy for the {Clenshaw--Curtis}
quadrature method",
journal = j-J-INST-MATH-APPL,
volume = "8",
number = "1",
pages = "53--56",
month = aug,
year = "1971",
CODEN = "JMTAA8",
DOI = "https://doi.org/10.1093/imamat/8.1.53",
ISSN = "0020-2932",
ISSN-L = "0020-2932",
MRclass = "65.55",
MRnumber = "44 #6153 (288958)",
MRreviewer = "J. E. Dennis, Jr.",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib",
URL = "https://academic.oup.com/imamat/article-abstract/8/1/53/656064",
ZMnumber = "0221.65043",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Institute of Mathematics and its
Applications",
journal-URL = "http://imamat.oxfordjournals.org/content/by/year",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Riess:1971:EECa,
author = "R. D. Riess",
title = "Error estimates for {Clenshaw--Curtis} quadrature:
preliminary report",
journal = j-NAMS,
volume = "18",
number = "5",
pages = "790--791",
month = aug,
year = "1971",
CODEN = "AMNOAN",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
bibdate = "Sun Nov 12 10:04:22 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/nams1970.bib",
URL = "https://www.ams.org/journals/notices/197108/197108FullIssue.pdf",
acknowledgement = ack-nhfb,
fjournal = "Notices of the American Mathematical Society",
issue = "131",
journal-URL = "http://www.ams.org/notices/",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Riess:1971:EECb,
author = "R. D. Riess and L. W. Johnson",
title = "Error estimates for {Clenshaw--Curtis} quadrature",
journal = j-NUM-MATH,
volume = "18",
number = "4",
pages = "345--353",
month = aug,
year = "1971",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01404685",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65D30",
MRnumber = "305555",
MRreviewer = "C. W. Clenshaw",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
received = "7 June 1971",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Gentleman:1972:AAC,
author = "W. Morven Gentleman",
title = "{ACM Algorithm 424}: {Clenshaw--Curtis} Quadrature
[{D1}]",
journal = j-CACM,
volume = "15",
number = "5",
pages = "353--355",
month = may,
year = "1972",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/355602.355603",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Thu Sep 08 09:47:54 1994",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#Gentleman72b;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/fortran1.bib;
https://www.math.utah.edu/pub/tex/bib/toms.bib",
note = "See remark \cite{Good:1973:RAC,Geddes:1979:RCC}.",
abstract = "Clenshaw-Curtis quadrature is one of the most
effective automatic quadrature schemes available,
particularly for integrands with some continuous
derivatives. It can also be used for any piecewise
continuous integrand, although it is not recommended
for integrands with discontinuities.",
acknowledgement = ack-nhfb,
classcodes = "C4160 (Numerical integration and differentiation);
C7310 (Mathematics computing)",
corpsource = "Univ. Waterloo, Ont., Canada",
fjournal = "Communications of the ACM",
journal-URL = "https://dl.acm.org/loi/cacm",
keywords = "Chebyshev series; Clenshaw Curtis quadrature; cosine
transform; FFT; FORTRAN subroutine; integration;
subroutines",
oldlabel = "Gentleman72b",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
treatment = "T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Gentleman72b",
}
@Article{Gentleman:1972:ICCa,
author = "W. Morven Gentleman",
title = "Implementing {Clenshaw--Curtis} quadrature. {I}.
{Methodology} and experience",
journal = j-CACM,
volume = "15",
number = "5",
pages = "337--342",
month = may,
year = "1972",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/355602.361310",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "65D30",
MRnumber = "48 5343 (327001)",
MRreviewer = "D. F. Mayers",
bibdate = "Mon Jan 22 06:43:44 MST 2001",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Comp.Alg.1.bib;
http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#Gentleman72;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
abstract = "Clenshaw--Curtis quadrature is a particularly
important automatic quadrature scheme for a variety of
reasons, especially the high accuracy obtained from
relatively few integrand values. However, it has
received little use because it requires the computation
of a cosine transformation and the arithmetic cost of
this has been prohibitive.\par
This paper is in two parts; a companion paper, ``II
Computing the Cosine Transformation,'' shows that this
objection can be overcome by computing the cosine
transformation by a modification of the fast Fourier
transform algorithm.\par
This first part discusses the strategy and various
error estimates, and summarizes experience with a
particular implementation of the scheme.",
acknowledgement = ack-nhfb,
classcodes = "C4110 (Error analysis in numerical methods); C4160
(Numerical integration and differentiation); C7310
(Mathematics computing)",
corpsource = "Univ. Waterloo, Ont., Canada",
fjournal = "Communications of the Association for Computing
Machinery",
journal-URL = "https://dl.acm.org/loi/cacm",
keywords = "automatic quadrature; Chebyshev series; Clenshaw
Curtis; Clenshaw--Curtis quadrature; error analysis;
error estimates; experience; implementation;
integration; numerical integration; numerical methods;
strategy",
oldlabel = "Gentleman72",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
treatment = "T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Gentleman72",
}
@Article{Gentleman:1972:ICCb,
author = "W. Morven Gentleman",
title = "Implementing {Clenshaw--Curtis} quadrature. {II}.
{Computing} the cosine transformation",
journal = j-CACM,
volume = "15",
number = "5",
pages = "343--346",
month = may,
year = "1972",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/355602.361311",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "65D30",
MRnumber = "48 5344 (327002)",
MRreviewer = "D. F. Mayers",
bibdate = "Mon Jan 22 06:43:45 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#Gentleman72a;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
abstract = "In a companion paper to this, ``I Methodology and
Experiences,'' the automatic Clenshaw--Curtis
quadrature scheme was described and how each quadrature
formula used in the scheme requires a cosine
transformation of the integrand values was shown. The
high cost of these cosine transformations has been a
serious drawback in using Clenshaw--Curtis quadrature.
\par
Two other problems related to the cosine transformation
have also been trouble some. First, the conventional
computation of the cosine transformation by recurrence
relation is numerically unstable, particularly at the
low frequencies which have the largest effect upon the
integral. Second, in case the automatic scheme should
require refinement of the sampling, storage is required
to save the integrand values after the cosine
transformation is computed. This second part of the
paper shows how the cosine transformation can be
computed by a modification of the fast Fourier
transform and all three problems overcome. The
modification is also applicable in other circumstances
requiring cosine or sine transformations, such as
polynomial interpolation through the Chebyshev
points.",
acknowledgement = ack-nhfb,
classcodes = "C4160 (Numerical integration and differentiation);
C7310 (Mathematics computing)",
corpsource = "Univ. Waterloo, Ont., Canada",
fjournal = "Communications of the Association for Computing
Machinery",
journal-URL = "https://dl.acm.org/loi/cacm",
keywords = "Chebyshev series; Clenshaw Curtis quadrature;
Clenshaw--Curtis quadrature; cosine; cosine
transformation; fast Fourier transformation; fast
Fourier transforms; FFT; implementation; integration;
numerical methods; polynomial interpolation;
transformation",
oldlabel = "Gentleman72a",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
treatment = "T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Gentleman72a",
}
@Article{Kussmaul:1972:CCQ,
author = "R. Kussmaul",
title = "{Clenshaw--Curtis} quadrature with a weighting
function",
journal = j-COMPUTING,
volume = "9",
number = "2",
pages = "159--164",
month = jun,
year = "1972",
CODEN = "CMPTA2",
DOI = "https://doi.org/10.1007/bf02236965",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "65D30",
MRnumber = "314245",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Computing. Archiv f{\"u}r Elektronisches Rechnen.
Archives for Electronic Computing",
journal-URL = "http://link.springer.com/journal/607",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Lam:1972:CCW,
author = "Binh Lam and David Elliott",
title = "On a conjecture of {C. W. Clenshaw}",
journal = j-SIAM-J-NUMER-ANAL,
volume = "9",
number = "1",
pages = "44--52",
month = mar,
year = "1972",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0709007",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65D15 (41A10)",
MRnumber = "309272",
MRreviewer = "C. W. Clenshaw",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Oliver:1972:DAC,
author = "J. Oliver",
title = "A doubly-adaptive {Clenshaw--Curtis} quadrature
method",
journal = j-COMP-J,
volume = "15",
number = "2",
pages = "141--147",
month = may,
year = "1972",
CODEN = "CMPJA6",
DOI = "https://doi.org/10.1093/comjnl/15.2.141",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Tue Dec 4 14:47:49 MST 2012",
bibsource = "Compendex database;
http://comjnl.oxfordjournals.org/content/15/2.toc;
http://www3.oup.co.uk/computer_journal/hdb/Volume_15/Issue_02/;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/compj.bib;
https://www.math.utah.edu/pub/tex/bib/compj1970.bib",
URL = "http://comjnl.oxfordjournals.org/content/15/2/141.full.pdf+html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_15/Issue_02/150141.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_15/Issue_02/tiff/141.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_15/Issue_02/tiff/142.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_15/Issue_02/tiff/143.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_15/Issue_02/tiff/144.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_15/Issue_02/tiff/145.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_15/Issue_02/tiff/146.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_15/Issue_02/tiff/147.tif",
acknowledgement = ack-nhfb,
classcodes = "C4160 (Numerical integration and differentiation);
C7310 (Mathematics computing)",
classification = "723",
corpsource = "Univ. Essex, Wivenhoe Park, Colchester, UK",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
keywords = "ALGOL; automatic integration algorithm; Clenshaw
Curtis; computer programming; computers; doubly
adaptive; integration; quadrature method; subroutines",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
treatment = "T Theoretical or Mathematical",
}
@Article{Riess:1972:EEC,
author = "R. D. Riess and L. W. Johnson",
title = "Error estimates for {Clenshaw--Curtis} quadrature",
journal = j-NUM-MATH,
volume = "18",
number = "4",
pages = "345--353",
month = aug,
year = "1972",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01404685",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4110 (Error analysis in numerical methods); C4160
(Numerical integration and differentiation)",
corpsource = "Virginia Polytech. Inst., Blacksburg, VA, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "analytic; bounding; Chebyshev approximation; Chebyshev
polynomial; Clenshaw Curtis quadrature; closed formula;
elliptic disc; error analysis; error estimates;
integration; interpolation; low order continuity;
second kind; square integrable; zeros",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
treatment = "T Theoretical or Mathematical",
}
@Article{Brass:1973:FQC,
author = "Helmut Bra{\ss}",
title = "{Eine Fehlerabsch{\"a}tzung zum Quadraturverfahren von
Clenshaw und Curtis}. ({German}) [{An error estimation
of the quadrature method of Clenshaw and Curtis}]",
journal = j-NUM-MATH,
volume = "21",
number = "5",
pages = "397--403",
month = oct,
year = "1973",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01436490",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65D30",
MRnumber = "343541",
MRreviewer = "Jozef Miklo\v{s}ko",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); B0290M
(Numerical integration and differentiation); C4110
(Error analysis in numerical methods); C4160 (Numerical
integration and differentiation)",
corpsource = "Tech. Univ. Clausthal, Zellerfeld, West Germany",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "Clenshaw Curtis method; error analysis; error
estimation; integration; quadrature method",
language = "German",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
treatment = "T Theoretical or Mathematical",
}
@Article{Good:1973:RAC,
author = "Albert J. Good",
title = "Remark on {Algorithm 424: Clenshaw--Curtis} quadrature
[{D1}]",
journal = j-CACM,
volume = "16",
number = "8",
pages = "490--490",
month = aug,
year = "1973",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/355609.362333",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Tue Mar 25 13:26:09 MST 1997",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm16.html#Good73;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
note = "See \cite{Gentleman:1972:AAC}.",
acknowledgement = ack-nhfb,
classcodes = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation);
C7310 (Mathematics computing)",
corpsource = "Systems, Sci. and Software, La Jolla, CA, USA",
journal-URL = "https://dl.acm.org/loi/cacm",
keywords = "algorithm; Clenshaw Curtis quadrature; integration",
oldlabel = "Good73",
received = "19 December 1972",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
treatment = "P Practical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Good73",
}
@Article{Salzer:1973:RSC,
author = "Herbert E. Salzer",
title = "A recurrence scheme for converting from one orthogonal
expansion into another",
journal = j-CACM,
volume = "16",
number = "11",
pages = "705--707",
month = nov,
year = "1973",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/355611.362548",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "65D05 (65Q05)",
MRnumber = "52 15956",
bibdate = "Mon Jan 22 07:18:13 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm16.html#Salzer73a;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
abstract = "A generalization of a scheme of Hamming for converting
a polynomial $ P_n(x) $ into a Chebyshev series is
combined with a recurrence scheme of Clenshaw for
summing any finite series whose terms satisfy a
three-term recurrence formula. An application to any
two orthogonal expansions $ P_n(x) = \sum_{m = 0}^n a_m
q_m(x) = \sum_{m = 0}^m A_m Q_m(x) $ enables one to
obtain $ A_m $ directly from $ a_m $, $ m = 0 (1)n $,
by a five-term recurrence scheme.",
acknowledgement = ack-nhfb,
classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)",
journal-URL = "https://dl.acm.org/loi/cacm",
keywords = "Chebyshev; Clenshaw recurrence; Hamming recurrence;
numerical methods; orthogonal expansions; polynomials;
recurrence; schemes; series; series (mathematics);
series interconversion",
oldlabel = "Salzer73a",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
treatment = "T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Salzer73a",
}
@Article{Tuan:1973:ECM,
author = "P. D. Tuan",
title = "An Extension of {Clenshaw}'s Method for Linear
Differential Equations",
journal = j-BIT,
volume = "13",
number = "3",
pages = "372--374",
month = sep,
year = "1973",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/bf01951948",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65L05",
MRnumber = "329266",
MRreviewer = "C. W. Clenshaw",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=13&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=13&issue=3&spage=372",
acknowledgement = ack-nhfb,
fjournal = "Nordisk Tidskrift for Informationsbehandling",
journal-URL = "http://link.springer.com/journal/10543",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
xxISSN = "0901-246X",
}
@Article{Jayarajan:1974:EEG,
author = "N. Jayarajan",
title = "Error estimates for {Gauss--Chebyshev} and
{Clenshaw--Curtis} quadrature formulas",
journal = j-CALCOLO,
volume = "11",
number = "2",
pages = "289--296",
month = jun,
year = "1974",
CODEN = "CALOBK",
DOI = "https://doi.org/10.1007/BF02575830",
ISSN = "0008-0624 (print), 1126-5434 (electronic)",
ISSN-L = "0008-0624",
MRclass = "65D30",
MRnumber = "431615",
MRreviewer = "M. M. Chawla",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Calcolo. A Quarterly on Numerical Analysis and Theory
of Computation",
journal-URL = "http://link.springer.com/journal/10092",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Branders:1975:ECC,
author = "Maria Branders and Robert Piessens",
title = "An extension of {Clenshaw--Curtis} quadrature",
journal = j-J-COMPUT-APPL-MATH,
volume = "1",
number = "1",
pages = "55--65",
month = mar,
year = "1975",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/0771-050x(75)90009-1",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "65D30",
MRnumber = "371022",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1970.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0771050X75900091",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Oliver:1977:EAM,
author = "J. Oliver",
title = "An Error Analysis of the Modified {Clenshaw} Method
for Evaluating {Chebyshev} and {Fourier} Series",
journal = j-J-INST-MATH-APPL,
volume = "20",
number = "3",
pages = "379--391",
month = nov,
year = "1977",
CODEN = "JMTAA8",
DOI = "https://doi.org/10.1093/imamat/20.3.379",
ISSN = "0020-2932",
ISSN-L = "0020-2932",
MRclass = "65G05 (41A50)",
MRnumber = "57 #4508 (464578)",
MRreviewer = "David L. Elliott",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/acc-stab-num-alg.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib",
ZMnumber = "0397.65013",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Institute of Mathematics and its
Applications",
journal-URL = "http://imamat.oxfordjournals.org/content/by/year",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
xxtitle = "An error analysis of the modified {Clenshaw} methods
for evaluating {Chebyshev} and {Fourier} series",
}
@InProceedings{Reimer:1977:CSS,
author = "M. Reimer",
booktitle = "Constructive theory of functions of several variables
({Proceedings of a Conference, Mathematics Research
Institute, Oberwolfach, 1976})",
title = "{Clenshaw} sums in several variables",
volume = "571",
publisher = pub-SV,
address = pub-SV:adr,
pages = "176--185",
year = "1977",
MRclass = "41A10 (65D15)",
MRnumber = "481750",
MRreviewer = "R. Feinerman",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
series = "Lecture Notes in Math.",
acknowledgement = ack-nhfb,
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Sloan:1978:PCR,
author = "Ian H. Sloan and W. E. Smith",
title = "Product-integration with the {Clenshaw--Curtis} and
related points-convergence properties",
journal = j-NUM-MATH,
volume = "30",
number = "4",
pages = "415--428",
month = dec,
year = "1978",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01398509",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Appl. Maths. Dept., Univ. of New South Wales, Sydney,
NSW, Australia",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "convergence of numerical methods; integral;
integration; product integration method",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
treatment = "T Theoretical or Mathematical",
}
@Article{Sloan:1978:PIC,
author = "Ian H. Sloan and W. E. Smith",
title = "Product-integration with the {Clenshaw--Curtis} and
related points. {Convergence} properties",
journal = j-NUM-MATH,
volume = "30",
number = "4",
pages = "415--428",
month = dec,
year = "1978",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01398509",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65D30",
MRnumber = "494863",
MRreviewer = "C. W. Clenshaw",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Geddes:1979:RCC,
author = "K. O. Geddes",
title = "Remark on ``{Algorithm 424}: {Clenshaw--Curtis}
Quadrature [{O1}]''",
journal = j-TOMS,
volume = "5",
number = "2",
pages = "240--240",
month = jun,
year = "1979",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/355826.355838",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Tue Feb 06 05:28:14 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
https://www.math.utah.edu/pub/tex/bib/toms.bib",
note = "See \cite{Gentleman:1972:AAC}.",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "https://dl.acm.org/loi/toms",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Evans:1981:ISV,
author = "G. A. Evans and J. Hyslop and A. P. G. Morgan",
title = "Iterative solution of {Volterra} integral equations
using {Clenshaw--Curtis} quadrature",
journal = j-J-COMPUT-PHYS,
volume = "40",
number = "1",
pages = "64--76",
month = mar,
year = "1981",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/0021-9991(81)90199-6",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
MRclass = "65R20",
MRnumber = "611806",
bibdate = "Sun Jan 1 15:59:05 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0021999181901996",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Smith:1982:GEB,
author = "H. V. Smith",
title = "Global error bounds for the {Clenshaw--Curtis}
quadrature formula",
journal = j-BIT,
volume = "22",
number = "3",
pages = "395--398",
month = sep,
year = "1982",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01934454",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65D30",
MRnumber = "83j:65032 (675675)",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=22&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=22&issue=3&spage=395",
acknowledgement = ack-nhfb,
fjournal = "BIT. Nordisk Tidskrift for Informationsbehandling
(BIT)",
journal-URL = "http://link.springer.com/journal/10543",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Hasegawa:1983:GCI,
author = "Takemitsu Hasegawa and Tatsuo Torii and Ichizo
Ninomiya",
title = "Generalized {Chebyshev} interpolation and its
application to automatic quadrature",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "537--553",
month = oct,
year = "1983",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/S0025-5718-1983-0717701-6",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65D32 (41A55 65D05)",
MRnumber = "84m:65037",
MRreviewer = "M. M. Chawla",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4110 (Error analysis in numerical methods); C4130
(Interpolation and function approximation)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "automatic quadrature; Chebyshev approximation;
Clenshaw--Curtis type; derivatives; discontinuous low
order; error analysis; error estimation; generalized
Chebyshev interpolation; interpolation; procedure;
sample points",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Piessens:1983:MCC,
author = "Robert Piessens and Maria Branders",
title = "Modified {Clenshaw--Curtis} method for the computation
of {Bessel} function integrals",
journal = j-BIT,
volume = "23",
number = "3",
pages = "370--381",
month = sep,
year = "1983",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01934465",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65D30 (65R10)",
MRnumber = "85b:65019 (705003)",
MRreviewer = "H. E. Fettis",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=23&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=23&issue=3&spage=370",
acknowledgement = ack-nhfb,
fjournal = "BIT. Nordisk Tidskrift for Informationsbehandling
(BIT)",
journal-URL = "http://link.springer.com/journal/10543",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Akrivis:1984:DQF,
author = "G. Akrivis and K.-J. F{\"o}rster",
title = "On the definiteness of quadrature formulae of
{Clenshaw--Curtis} type",
journal = j-COMPUTING,
volume = "33",
number = "3--4",
pages = "363--366",
month = sep,
year = "1984",
CODEN = "CMPTA2",
DOI = "https://doi.org/10.1007/BF02242279",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "65D32 (65D30)",
MRnumber = "86e:65037 (773935)",
MRreviewer = "M. I. Levin",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "Compendex database;
http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/computing.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
affiliation = "Univ M{\"u}nchen, Mathematisches Inst, Munich, West
Germany",
classification = "921",
fjournal = "Computing. Archives for Scientific Computing",
journal-URL = "http://link.springer.com/journal/607",
journalabr = "Computing (Vienna/New York)",
keywords = "definiteness; interpolatory quadrative formulas;
mathematical techniques; Numerical Methods;
ultraspherical polynomials",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Kutz:1984:NEE,
author = "Martin K{\"u}tz",
title = "A note on error estimates for the {Clenshaw--Curtis}
and other interpolatory quadratures",
journal = "Analysis",
volume = "4",
number = "1--2",
pages = "45--51",
month = jan,
year = "1984",
DOI = "https://doi.org/10.1524/anly.1984.4.12.45",
ISSN = "0174-4747 (print), 2196-6753 (electronic)",
ISSN-L = "0174-4747",
MRclass = "65D30",
MRnumber = "775544",
MRreviewer = "T. H. Lim",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Analysis. International Journal of Analysis and its
Application",
journal-URL = "https://www.degruyter.com/journal/key/anly/html",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Denisenko:1986:CCQ,
author = "P. N. Denisenko",
title = "The {Clenshaw} and {Curtis} quadrature formula",
journal = j-IZV-VYSS-UCEBN-ZAVED-MAT,
volume = "4",
pages = "71--73, 85",
year = "1986",
CODEN = "IVUMBY",
ISSN = "0021-3446 (print), 2076-4626 (electronic)",
ISSN-L = "0021-3446",
MRclass = "65D32 (41A55)",
MRnumber = "855359",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Izvestiya Vysshikh Uchebnykh Zavedeni\u{\i}.
Matematika",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Marshak:1986:RCC,
author = "A. Marshak",
title = "A remark on the {Clenshaw--Curtis} quadrature
formula",
journal = "Eesti NSV Teaduste Akadeemia Toimetised.
F{\"u}{\"u}sika-Matemaatika. Izvestiya Akademii Nauk
{\`E}stonsko{\u\i} SSR. Seriya Fizika-Matematika",
volume = "35",
number = "3",
pages = "338--340, 344",
year = "1986",
CODEN = "ETFMB3",
ISSN = "0367-1429",
ISSN-L = "0367-1429",
MRclass = "65D32",
MRnumber = "881887",
MRreviewer = "J. Kofro\v{n}",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
ajournal = "Eesti NSV Tead. Akad. Toimetised F{\"u}{\"u}s.-Mat.",
fjournal = "Eesti NSV Teaduste Akadeemia Toimetised.
F{\"u}{\"u}sika-Matemaatika. Izvestiya Akademii Nauk
{\`E}stonsko{\u\i} SSR. Seriya Fizika-Matematika",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Adam:1987:AFE,
author = "Gh. Adam",
title = "Alternative formulation of the extended
{Clenshaw--Curtis} quadrature rules for oscillating
integrals",
journal = "Revue Roumaine de Physique",
volume = "32",
number = "8",
pages = "813--826",
year = "1987",
CODEN = "RRPQAN",
ISSN = "0035-4090",
ISSN-L = "0035-4090",
MRclass = "65D32 (65D20 65V05)",
MRnumber = "928332",
MRreviewer = "Anton Hut'a",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
ajournal = "Rev. Roumaine Phys.",
fjournal = "Revue Roumaine de Physique",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@InProceedings{Piessens:1987:MCC,
author = "R. Piessens",
booktitle = "Numerical Integration ({Halifax, N.S., 1986})",
title = "Modified {Clenshaw--Curtis} integration and
applications to numerical computation of integral
transforms",
volume = "203",
publisher = pub-REIDEL,
address = pub-REIDEL:adr,
pages = "35--51",
year = "1987",
ISBN = "90-277-2514-4",
ISBN-13 = "978-90-277-2514-1",
MRclass = "65D30 (65R10)",
MRnumber = "907110",
MRreviewer = "G. F. Miller",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
series = "NATO Adv. Sci. Inst. Ser. C: Math. Phys. Sci.",
acknowledgement = ack-nhfb,
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Ellacott:1988:CMG,
author = "S. W. Ellacott and E. B. Saff",
title = "On {Clenshaw}'s Method and a Generalisation to {Faber}
Series",
journal = j-NUM-MATH,
volume = "52",
number = "5",
pages = "499--509",
month = may,
year = "1988",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01400888",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "34A25 (65D15 65E05)",
MRnumber = "89i:34008 (945096)",
MRreviewer = "R. C. Varma",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4170 (Differential
equations)",
corpsource = "Inf. Technol. Res. Inst., Brighton Polytech., UK",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "Chebyshev approximation; Chebyshev series; Clenshaw;
complex plane; conformal map; differential equations;
Faber series; Laurent series; linear ordinary
differential equations; polynomials; series
(mathematics)",
mynote = "Typo in title! The correct `Clenshaw's' appears in the
text.",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
treatment = "T Theoretical or Mathematical",
}
@Article{Adam:1991:PIR,
author = "Gh. Adam and A. Nobile",
title = "Product integration rules at {Clenshaw--Curtis} and
related points: a robust implementation",
journal = j-IMA-J-NUMER-ANAL,
volume = "11",
number = "2",
pages = "271--296",
month = apr,
year = "1991",
CODEN = "IJNADH",
DOI = "https://doi.org/10.1093/imanum/11.2.271",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
MRclass = "65D32 (65Y20)",
MRnumber = "92a:65074 (1105231)",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "IMA Journal of Numerical Analysis",
journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Booklet{Anonymous:1992:LF,
author = "Anonymous",
key = "LF-1992",
title = "{Leslie Fox: 1918--1992}",
howpublished = "Oxford University booklet.",
pages = "ii + 77",
year = "1992",
bibdate = "Sun Nov 12 09:43:02 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib",
note = "Includes brief C.V. (completed 3 days before Leslie
Fox's death), and a bibliography of his publications.
Memories of Leslie Fox by C. W. Clenshaw, pp. 7--10.",
URL = "https://people.maths.ox.ac.uk/wathen/fox/Leslie_Fox_booklet_1994.pdf",
acknowledgement = ack-nhfb,
keywords = "A. R. Curtis; A. R. Davies; Brian Ford; D. C.
Hanscomb; D. Higham; D. Kershaw; Frank W. J. Olver;
Gene Golub; Gilbert Strang; Iain Duff; J. Du Croz; J.
Lyness; James Demmel; John Ker Reid; M. Powell; Nick I.
M. Gould; P. Davies; Peter Monk; Sven Hammaring",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Leslie Fox (1918--1 August 1992)",
}
@Article{Brass:1992:EEC,
author = "Helmut Bra{\ss}",
title = "Error estimation for the {Clenshaw--Curtis} quadrature
method",
journal = "{Abhandlungen der Braunschweigischen
Wissenschaftlichen Gesellschaft}",
volume = "43",
pages = "45--53",
year = "1992",
CODEN = "ABWGAZ",
ISSN = "0068-0737",
ISSN-L = "0068-0737",
MRclass = "65D32",
MRnumber = "1221828",
MRreviewer = "K. Jetter",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
ajournal = "Abh. Braunschweig. Wiss. Ges.",
fjournal = "Abhandlungen der Braunschweigischen Wissenschaftlichen
Gesellschaft",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@InProceedings{Geddes:1992:HSI,
author = "K. O. Geddes and G. J. Fee",
title = "Hybrid symbolic-numeric integration in {MAPLE}",
crossref = "Wang:1992:ISS",
pages = "36--41",
year = "1992",
bibdate = "Mon Sep 30 05:24:55 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/maple-extract.bib",
abstract = "We give an overview of the hybrid symbolic-numeric
integrator in MAPLE. The approach used is to recognize
the presence of singularities and, when possible, to
transform the problem to avoid the singularity. At the
base of the hybrid method are numerical integration
techniques. We have found that for integrands which are
analytic in a 'sufficiently large' region of the
complex plane surrounding the interval of integration,
the method of choice is Clenshaw--Curtis quadrature. An
added advantage of this method is that it can be
programmed to detect cases where the Chebyshev series
coefficients converge slowly (or diverge), and to give
up quickly in such cases. The singularity handling
techniques can then be applied. There is a need for a
numerical method other than Clenshaw--Curtis
quadrature, a method which can deal with end-point
singularities and singularities lying 'nearby' in the
complex plane. We have found that the
double-exponential method performs very well in the
presence of several types of singularities, and its
performance does not degrade when arbitrarily high
precision is demanded. The combination of
Clenshaw--Curtis quadrature and the double exponential
method support the numerical computation phase which,
along with the symbolic analysis techniques for
singularity handling, define an automated approach to
the symbolic-numeric computation of definite integrals
in MAPLE.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada",
classification = "C6130 (Data handling techniques); C7310
(Mathematics)",
keywords = "Chebyshev series coefficients; Clenshaw--Curtis
quadrature; Definite integrals; Double-exponential
method; End-point singularities; Hybrid
symbolic-numeric integration; MAPLE; Numerical
integration techniques; Numerical method; Singularity
handling; Singularity handling techniques; Symbolic
analysis techniques; Symbolic-numeric computation",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
thesaurus = "Mathematics computing; Symbol manipulation",
}
@Article{Lozier:1992:SLI,
author = "D. W. Lozier and P. R. Turner",
title = "Symmetrical level index arithmetic in simulation and
modeling",
journal = j-J-RES-NATL-INST-STAND-TECHNOL,
volume = "97",
number = "4",
pages = "471--485",
month = jul # "\slash " # aug,
year = "1992",
CODEN = "JRITEF",
DOI = "https://doi.org/10.6028/jres.097.020",
ISSN = "1044-677X (print), 2165-7254 (electronic)",
ISSN-L = "1044-677X",
bibdate = "Sun Nov 12 07:20:07 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
abstract = "This paper begins with a general introduction to the
symmetric level-index, SLI, system of number
representation and arithmetic. This system provides a
robust framework in which experimental computation can
be performed without the risk of failure due to
overflow\slash underflow or to poor scaling of the
original problem. There follows a brief summary of some
existing computational experience with this system to
illustrate its strengths in numerical, graphical and
parallel computational settings. An example of the use
of SLI arithmetic to overcome graphics failure in the
modeling of a turbulent combustion problem is
presented. The main thrust of this paper is to
introduce the idea of SLI-linear least squares data
fitting. The use of generalized logarithm and
exponential functions is seen to offer significant
improvement over the more conventional linear
regression tools for fitting data from a compound
exponential decay such as the decay of radioactive
materials.",
acknowledgement = ack-nhfb,
fjournal = "Journal of research of the National Institute of
Standards and Technology",
journal-URL = "http://www.nist.gov/nvl/jres.cfm",
keywords = "and scaling; computer graphics; generalized logarithms
and exponentials; least-squares data-fitting; overflow;
parallel computing; symmetric level-index arithmetic;
underflow",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@InCollection{Press:1992:RRC,
author = "William H. Press and Saul A. Teukolsky and William T.
Vetterling and Brian P. Flannery",
title = "Recurrence Relations and {Clenshaw}'s Recurrence
Formula",
crossref = "Press:1992:NRFa",
chapter = "5.5",
pages = "172--178",
year = "1992",
bibdate = "Mon Nov 13 11:01:58 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
xxpages = "172--177",
}
@Article{Ammar:1993:ASP,
author = "Gregory S. Ammar and William B. Gragg and Lothar
Reichel",
title = "An analogue for {Szeg{\H{o}}} polynomials of the
{Clenshaw} algorithm",
journal = j-J-COMPUT-APPL-MATH,
volume = "46",
number = "1--2",
pages = "211--216",
day = "14",
month = jun,
year = "1993",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/0377-0427(93)90296-N",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "65D15",
MRnumber = "1222482",
bibdate = "Sat Feb 25 12:20:57 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
note = "Computational complex analysis",
URL = "http://www.sciencedirect.com/science/article/pii/037704279390296N",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Favati:1993:BEF,
author = "Paola Favati and Grazia Lotti and Francesco Romani",
title = "Bounds on the error of {Fej{\'e}r} and
{Clenshaw--Curtis} type quadrature for analytic
functions",
journal = j-APPL-MATH-LETT,
volume = "6",
number = "6",
pages = "3--8",
month = nov,
year = "1993",
CODEN = "AMLEEL",
DOI = "https://doi.org/10.1016/0893-9659(93)90068-X",
ISSN = "0893-9659 (print), 1873-5452 (electronic)",
ISSN-L = "0893-9659",
MRclass = "65D32",
MRnumber = "1348456",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics Letters. An International Journal
of Rapid Publication",
journal-URL = "http://www.sciencedirect.com/science/journal/08939659",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Hasegawa:1993:PWE,
author = "Takemitsu Hasegawa and Hirosi Sugiura and Tatsuo
Torii",
title = "Positivity of the weights of extended
{Clenshaw--Curtis} quadrature rules",
journal = j-MATH-COMPUT,
volume = "60",
number = "202",
pages = "719--734",
month = apr,
year = "1993",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2153111",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65D30 (65D32)",
MRnumber = "93h:65032 (1176710)",
MRreviewer = "Ezio Venturino",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Petras:1994:HOE,
author = "Knut Petras",
title = "High order error constants of {Clenshaw--Curtis}
product rules",
journal = "Analysis",
volume = "14",
number = "1",
pages = "1--18",
month = mar,
year = "1994",
DOI = "https://doi.org/10.1524/anly.1994.14.1.1",
ISSN = "0174-4747 (print), 2196-6753 (electronic)",
ISSN-L = "0174-4747",
MRclass = "65D30 (41A55)",
MRnumber = "1280526",
MRreviewer = "John P. Coleman",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Analysis. International Mathematical Journal of
Analysis and its Applications",
journal-URL = "https://www.degruyter.com/journal/key/anly/html",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Aburdene:1995:CDC,
author = "M. F. Aburdene and Jianqing Zheng and R. J. Kozick",
title = "Computation of discrete cosine transform using
{Clenshaw}'s recurrence formula",
journal = j-IEEE-SIGNAL-PROCESS-LETT,
volume = "2",
number = "8",
pages = "155--156",
month = aug,
year = "1995",
CODEN = "ISPLEM",
DOI = "https://doi.org/10.1109/97.404131",
ISSN = "1070-9908 (print), 1558-2361 (electronic)",
ISSN-L = "1070-9908",
bibdate = "Mon Nov 13 12:14:41 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Signal Processing Letters",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=97",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{deRosa:1995:PTA,
author = "M. A. {de Rosa} and G. Giunta and M. Rizzardi",
title = "Parallel {Talbot}'s algorithm for distributed memory
machines",
journal = j-PARALLEL-COMPUTING,
volume = "21",
number = "5",
pages = "783--80",
day = "10",
month = may,
year = "1995",
CODEN = "PACOEJ",
DOI = "https://doi.org/10.1016/0167-8191(94)00108-M",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
ISSN-L = "0167-8191",
bibdate = "Fri Aug 6 10:14:28 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1995&volume=21&issue=5;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1995&volume=21&issue=5&aid=974",
acknowledgement = ack-nhfb,
classification = "B0230 (Integral transforms); C1130 (Integral
transforms); C4240P (Parallel programming and algorithm
theory)",
corpsource = "Istituto di Matematica, Istituto Univ. Navale, Napoli,
Italy",
fjournal = "Parallel Computing",
journal-URL = "http://www.sciencedirect.com/science/journal/01678191/",
keywords = "algorithm; Clenshaw's sums; distributed memory
machines; distributed memory MIMD machines; distributed
memory systems; Goertzel-Reinsch; Laplace; Laplace
inversion; Laplace transforms; numerical; parallel
algorithm; parallel algorithms; Riemann Inversion
Formula; stability; Talbot's algorithm; Transforms",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
treatment = "T Theoretical or Mathematical",
}
@Article{Novak:1996:HDI,
author = "Erich Novak and Klaus Ritter",
title = "High-dimensional integration of smooth functions over
cubes",
journal = j-NUM-MATH,
volume = "75",
number = "1",
pages = "79--97",
month = nov,
year = "1996",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/s002110050231",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65D30 (65Y20)",
MRnumber = "97k:65057; 1 417 864",
MRreviewer = "Gheorghe Coman",
bibdate = "Sat Jun 6 05:48:29 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://link.springer.de/link/service/journals/00211/bibs/6075001/60750079.htm;
http://science.springer.de/nmee/bibs/6075001/60750079.htm",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Math. Inst., Erlangen-N{\"u}rnberg Univ., Germany",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "bounded mixed derivative; Clenshaw--Curtis rule;
cubes; d-dimensional cube; error bounds; high
dimensional integration; interpolation; numerical
integration; numerical stability; Smolyak's
construction; smooth functions",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
treatment = "P Practical; T Theoretical or Mathematical",
}
@InProceedings{Mason:1997:IMC,
author = "J. C. Mason and E. Venturino",
editor = "G{\"u}nther N{\"u}rnberger and Jochen W. Schmidt and
Guido Walz",
booktitle = "Multivariate Approximation and Splines (Conference in
{Mannheim, September 7--10, 1996})",
title = "Integration methods of {Clenshaw--Curtis} type, based
on four kinds of {Chebyshev} polynomials",
volume = "125",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "153--165",
year = "1997",
ISBN = "3-7643-5654-5",
ISBN-13 = "978-3-7643-5654-5",
MRclass = "41A10 (65D05)",
MRnumber = "1485002",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
series = "Internat. Ser. Numer. Math.",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/978-3-0348-8871-4",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Barrio:1998:MAS,
author = "Roberto Barrio",
title = "A matrix analysis of the stability of the {Clenshaw}
algorithm",
journal = "Extracta Mathematicae",
volume = "13",
number = "1",
pages = "21--26",
year = "1998",
ISSN = "0213-8743",
ISSN-L = "0213-8743",
MRclass = "65G05 (42C10)",
MRnumber = "1652572",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
URL = "http://eudml.org/doc/38560",
acknowledgement = ack-nhfb,
ajournal = "Extracta Math.",
fjournal = "Extracta Mathematicae",
journal-URL = "https://eudml.org/journal/10015",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Elnagar:2000:CCS,
author = "Gamal N. Elnagar and Ken S. Li",
title = "{Clenshaw--Chebyshev} spectral method for
{Hammerstein} equations",
journal = "International Journal of Differential Equations and
Applications",
volume = "1",
number = "3",
pages = "307--321",
year = "2000",
ISSN = "1311-2872",
ISSN-L = "1311-2872",
MRclass = "65R20 (45G10 45L05)",
MRnumber = "1772526",
MRreviewer = "Wojciech Mydlarczyk",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
ajournal = "Int. J. Differ. Equ. Appl.",
fjournal = "International Journal of Differential Equations and
Applications",
journal-URL = "https://www.ijpam.eu/en/index.php/ijdea",
remark = "Not at journal Web site: v1 has only n1.",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Hasegawa:2001:EAC,
author = "Takemitsu Hasegawa",
title = "Error analysis of {Clenshaw}'s algorithm for
evaluating derivatives of a polynomial",
journal = j-BIT-NUM-MATH,
volume = "41",
number = "5",
pages = "1019--1028",
month = dec,
year = "2001",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1023/A:1021993312929",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "41A10 (65G50)",
MRnumber = "2058860",
bibdate = "Wed Jan 4 15:06:05 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=41&issue=5;
http://www.mai.liu.se/BIT/contents/bit41.html;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
note = "BIT 40th Anniversary Meeting",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=41&issue=5&spage=1019",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Barrio:2002:REB,
author = "Roberto Barrio",
title = "Rounding error bounds for the {Clenshaw} and
{Forsythe} algorithms for the evaluation of orthogonal
polynomial series",
journal = j-J-COMPUT-APPL-MATH,
volume = "138",
number = "2",
pages = "185--204",
day = "15",
month = jan,
year = "2002",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/S0377-0427(01)00382-X",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "65G50",
MRnumber = "1876230",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S037704270100382X",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); George Elmer Forsythe (8 January 1917--9 April
1972)",
}
@Article{Smoktunowicz:2002:BSC,
author = "Alicja Smoktunowicz",
title = "Backward stability of {Clenshaw}'s algorithm",
journal = j-BIT-NUM-MATH,
volume = "42",
number = "3",
pages = "600--610",
month = sep,
year = "2002",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1023/A:1022001931526",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65B10",
MRnumber = "MR1931888 (2003i:65008)",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=42&issue=3;
http://www.mai.liu.se/BIT/contents/bit42.html;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=42&issue=3&spage=600",
acknowledgement = ack-nhfb,
fjournal = "BIT. Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Barrio:2003:URE,
author = "Roberto Barrio",
title = "A unified rounding error bound for polynomial
evaluation",
journal = j-ADV-COMPUT-MATH,
volume = "19",
number = "4",
pages = "385--399",
month = nov,
year = "2003",
CODEN = "ACMHEX",
DOI = "https://doi.org/10.1023/A:1024203520270",
ISSN = "1019-7168 (print), 1572-9044 (electronic)",
ISSN-L = "1019-7168",
MRclass = "65G50",
MRnumber = "1989623",
bibdate = "Sat Feb 3 18:22:17 MST 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
https://www.math.utah.edu/pub/tex/bib/advcomputmath.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
URL = "http://link.springer.com/article/10.1023/A:1024203520270",
acknowledgement = ack-nhfb,
fjournal = "Advances in Computational Mathematics",
journal-URL = "http://link.springer.com/journal/10444",
keywords = "Bernstein polynomial; Clenshaw--Forsythe algorithm;
de-Casteljau algorithm; Horner's algorithm; polynomial
evaluation; recurrence relations; rounding errors;
Szeg{\H{o}} polynomial",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); George Elmer Forsythe (8 January 1917--9 April
1972)",
}
@Article{Kang:2003:NCC,
author = "Sheon-Young Kang and Israel Koltracht and George
Rawitscher",
title = "{Nystr{\"o}m--Clenshaw--Curtis} quadrature for
integral equations with discontinuous kernels",
journal = j-MATH-COMPUT,
volume = "72",
number = "242",
pages = "729--756",
month = mar,
year = "2003",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/S0025-5718-02-01431-X",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65D30 (45B05 45J05 65R20)",
MRnumber = "1954965",
MRreviewer = "G. A. Evans",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Nikolajevic:2003:CFI,
author = "Vladimir Nikolajevic and Gerhard Fettweis",
title = "Computation of forward and inverse {MDCT} using
{Clenshaw}'s recurrence formula",
journal = j-IEEE-TRANS-SIG-PROC,
volume = "51",
number = "5",
pages = "1439--1444",
month = may,
year = "2003",
CODEN = "ITPRED",
DOI = "https://doi.org/10.1109/TSP.2002.808123",
ISSN = "1053-587X (print), 1941-0476 (electronic)",
ISSN-L = "1053-587X",
MRclass = "94A12",
MRnumber = "2043572",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Signal Processing",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Olver:2004:CCM,
author = "Frank Olver",
title = "{Charles Clenshaw}: Mathematician with a flair for
numerical analysis",
journal = j-GUARDIAN,
volume = "??",
number = "??",
pages = "??--??",
day = "28",
month = oct,
year = "2004",
ISSN = "0261-3077 (print), 1756-3224 (electronic)",
ISSN-L = "0261-3077",
bibdate = "Sun Nov 12 08:15:36 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
URL = "https://www.theguardian.com/news/2004/oct/29/guardianobituaries.obituaries",
acknowledgement = ack-nhfb,
fjournal = "The Guardian",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Frank William John Olver (15 December 1924--23
April 2013)",
}
@Article{Hunter:2005:QFC,
author = "D. B. Hunter and H. V. Smith",
title = "A quadrature formula of {Clenshaw--Curtis} type for
the {Gegenbauer} weight-function",
journal = j-J-COMPUT-APPL-MATH,
volume = "177",
number = "2",
pages = "389--400",
day = "15",
month = may,
year = "2005",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/j.cam.2004.08.014",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "65D30 (33C90)",
MRnumber = "2125326",
MRreviewer = "Ulrich D. Jentschura",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042704004352",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Mason:2005:LAAb,
author = "J. C. Mason and A. Crampton",
title = "{Laurent--Pad{\'e}} Approximants to Four Kinds of
{Chebyshev} Polynomial Expansions. {Part II}:
{Clenshaw--Lord} Type Approximants",
journal = j-NUMER-ALGORITHMS,
volume = "38",
number = "1--3",
pages = "19--29",
month = mar,
year = "2005",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-004-2855-2",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Sat May 14 09:16:29 MDT 2005",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=1017-1398;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Mason:2005:LPA,
author = "J. C. Mason and A. Crampton",
title = "{Laurent--Pad{\'e}} approximants to four kinds of
{Chebyshev} polynomial expansions. {II}.
{Clenshaw--Lord} type approximants",
journal = j-NUMER-ALGORITHMS,
volume = "38",
number = "1--3",
pages = "19--29",
month = mar,
year = "2005",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/BF02810613",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "41A21 (33C45)",
MRnumber = "2128616",
MRreviewer = "Vasiliy A. Prokhorov",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
bad-doi = "https://doi.org/10.1007/s11075-004-2855-2",
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Elnagar:2006:CCS,
author = "Gamal N. Elnagar and Ken S. Li",
title = "{Clenshaw--Chebyshev} spectral method for mixed type
{Hammerstein} equations",
journal = j-FAR-EAST-J-APPL-MATH,
volume = "23",
number = "2",
pages = "135--145",
year = "2006",
ISSN = "0972-0960",
ISSN-L = "0972-0960",
MRclass = "65R20 (45L05)",
MRnumber = "2248087",
MRreviewer = "Andreas Rathsfeld",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Far East Journal of Applied Mathematics",
journal-URL = "http://www.pphmj.com/journals/fjam.htm",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Waldvogel:2006:FCF,
author = "J{\"o}rg Waldvogel",
title = "Fast Construction of the {Fej{\'e}r} and
{Clenshaw--Curtis} Quadrature Rules",
journal = j-BIT-NUM-MATH,
volume = "46",
number = "1",
pages = "195--202",
month = mar,
year = "2006",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-006-0045-4",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65D32 65T20 65Y20 65D30",
MRnumber = "2214855",
MRreviewer = "Stephen W. Brady",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=46&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=46&issue=1&spage=195",
acknowledgement = ack-nhfb,
fjournal = "BIT. Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
keywords = "Clenshaw--Curtis quadrature; discrete Fourier
transform; Fej{\'e}r's quadrature rules; numerical
quadrature",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Kim:2007:GCC,
author = "Changho Kim and Sang Dong Kim and Jungho Yoon",
title = "Generalized {Clenshaw--Curtis} quadrature rule with
application to a collocation least-squares method",
journal = j-APPL-MATH-COMP,
volume = "190",
number = "1",
pages = "781--789",
day = "1",
month = jul,
year = "2007",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2007.01.095",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
MRclass = "65D30",
MRnumber = "2338754",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300307001129",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@InProceedings{Raj:2007:FCI,
author = "P. Ananth Raj and A. Venkataramana",
booktitle = "2007 {IEEE} International Conference on Image
Processing",
title = "Fast Computation of Inverse {Krawtchouk} Moment
Transform using {Clenshaw}'s Recurrence Formula",
publisher = pub-IEEE,
address = pub-IEEE:adr,
year = "2007",
DOI = "https://doi.org/10.1109/icip.2007.4379948",
bibdate = "Mon Nov 13 12:14:41 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Weideman:2007:KPF,
author = "J. A. C. Weideman and L. N. Trefethen",
title = "The kink phenomenon in {Fej{\'e}r} and
{Clenshaw--Curtis} quadrature",
journal = j-NUM-MATH,
volume = "107",
number = "4",
pages = "707--727",
month = oct,
year = "2007",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/s00211-007-0101-2",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65D30 (41A55)",
MRnumber = "MR2342649 (2008i:65048)",
MRreviewer = "Komali S. Sastri",
bibdate = "Tue Nov 25 07:34:14 2008",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
https://www.math.utah.edu/pub/tex/bib/nummath2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Elliott:2008:CCG,
author = "David Elliott and Barbara M. Johnston and Peter R.
Johnston",
title = "{Clenshaw--Curtis} and {Gauss--Legendre} quadrature
for certain boundary element integrals",
journal = j-SIAM-J-SCI-COMP,
volume = "31",
number = "1",
pages = "510--530",
month = jan,
year = "2008",
CODEN = "SJOCE3",
DOI = "https://doi.org/10.1137/07070200X",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
MRclass = "65D32 (41A10 41A55 65D30)",
MRnumber = "2460787",
MRreviewer = "Tian-Xiao He",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Scientific Computing",
journal-URL = "http://epubs.siam.org/sisc",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Hale:2008:NQF,
author = "Nicholas Hale and Lloyd N. Trefethen",
title = "New quadrature formulas from conformal maps",
journal = j-SIAM-J-NUMER-ANAL,
volume = "46",
number = "2",
pages = "930--948",
month = jan,
year = "2008",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/07068607X",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65D32 (30C20 30E10 30E20 41A10 65D30)",
MRnumber = "MR2383217 (2008m:65074)",
MRreviewer = "F. W. Stallmann",
bibdate = "Tue Nov 25 07:34:14 2008",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
URL = "ttps://www.jstor.org/stable/40233238",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
keywords = "Clenshaw--Curtis quadrature; Gauss quadrature",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Saravi:2008:NSL,
author = "M. Saravi and F. Ashrafi and S. R. Mirrajei",
title = "Numerical solution of linear ordinary differential
equations in quantum chemistry by {Clenshaw} method",
journal = "International Journal of Computational and
Mathematical Sciences",
volume = "2",
number = "4",
pages = "186--189",
year = "2008",
ISSN = "2070-3910",
MRclass = "65L60 (81V55)",
MRnumber = "2470053",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
ajournal = "Int. J. Comput. Math. Sci.",
fjournal = "International Journal of Computational and
Mathematical Sciences",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Sommariva:2008:NCC,
author = "Alvise Sommariva and Marco Vianello and Renato
Zanovello",
title = "Nontensorial {Clenshaw--Curtis} cubature",
journal = j-NUMER-ALGORITHMS,
volume = "49",
number = "1--4",
pages = "409--427",
month = dec,
year = "2008",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-008-9203-x",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "65D30 (41A55 65D32)",
MRnumber = "2457110",
MRreviewer = "Severiano Gonzalez-Pinto",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=49&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=49&issue=1&spage=409",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Trefethen:2008:GQB,
author = "Lloyd N. Trefethen",
title = "Is {Gauss} Quadrature Better than
{Clenshaw--Curtis}?",
journal = j-SIAM-REVIEW,
volume = "50",
number = "1",
pages = "67--87",
month = jan,
year = "2008",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/060659831",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "65D32 (41A20 41A55)",
MRnumber = "MR2403058",
MRreviewer = "Kai Diethelm",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "http://epubs.siam.org/toc/siread/50/1;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
URL = "http://link.aip.org/link/?SIR/50/67/1",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "January 2008",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Calabro:2009:ECC,
author = "F. Calabr{\`o} and A. Corbo Esposito",
title = "An evaluation of {Clenshaw--Curtis} quadrature rule
for integration w.r.t. singular measures",
journal = j-J-COMPUT-APPL-MATH,
volume = "229",
number = "1",
pages = "120--128",
day = "1",
month = jul,
year = "2009",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/j.cam.2008.10.022",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "65D30 (28A25 41A55 65D32)",
MRnumber = "2522505",
MRreviewer = "Kai Diethelm",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042708005256",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Dash:2011:ISC,
author = "Rajani Ballav Dash and Debasish Das",
title = "Identification of some {Clenshaw--Curtis} quadrature
rules as mixed quadrature of {Fejer} and {Newton--Cote}
type of rules",
journal = "International Journal of Mathematical Sciences \&
Applications",
volume = "1",
number = "3",
pages = "1493--1496",
year = "2011",
ISSN = "2230-9888",
ISSN-L = "2230-9888",
MRclass = "65D30 (41A55)",
MRnumber = "2862483",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
ajournal = "Int. J. Math. Sci. Appl.",
fjournal = "International Journal of Mathematical Sciences \&
Applications",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Dominguez:2011:SEE,
author = "V. Dom{\'\i}nguez and I. G. Graham and V. P.
Smyshlyaev",
title = "Stability and error estimates for
{Filon--Clenshaw--Curtis} rules for highly oscillatory
integrals",
journal = j-IMA-J-NUMER-ANAL,
volume = "31",
number = "4",
pages = "1253--1280",
month = apr,
year = "2011",
CODEN = "IJNADH",
DOI = "https://doi.org/10.1093/imanum/drq036",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
MRclass = "65D30 (41A55)",
MRnumber = "2846755",
MRreviewer = "Francisco Perdomo-P\'{\i}o",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "IMA Journal of Numerical Analysis",
journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Hashemiparast:2011:ALT,
author = "S. M. Hashemiparast and H. Fallahgoul",
title = "Approximation of {Laplace} transform of fractional
derivatives via {Clenshaw--Curtis} integration",
journal = j-INT-J-COMPUT-MATH,
volume = "88",
number = "6",
pages = "1224--1238",
year = "2011",
CODEN = "IJCMAT",
DOI = "https://doi.org/10.1080/00207160.2010.499935",
ISSN = "0020-7160",
ISSN-L = "0020-7160",
MRclass = "26A33 (44A10 65D30 65R10)",
MRnumber = "2783561",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Computer Mathematics",
journal-URL = "http://www.tandfonline.com/loi/gcom20",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Smith:2011:NEE,
author = "H. V. Smith and D. B. Hunter",
title = "The numerical evaluation of the error term in a
quadrature formula of {Clenshaw--Curtis} type for the
{Gegenbauer} weight function",
journal = j-BIT-NUM-MATH,
volume = "51",
number = "4",
pages = "1031--1038",
month = dec,
year = "2011",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-011-0330-8",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65D30",
MRnumber = "2855438",
MRreviewer = "Alexandru M. Bica",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=51&issue=4;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=51&issue=4&spage=1031",
acknowledgement = ack-nhfb,
fjournal = "BIT. Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@InProceedings{Venkataramana:2011:RCF,
author = "A. Venkataramana and P. Ananth Raj",
booktitle = "2011 Third National Conference on Computer Vision,
Pattern Recognition, Image Processing and Graphics",
title = "Recursive Computation of Forward {Krawtchouk} Moment
Transform Using {Clenshaw}'s Recurrence Formula",
publisher = pub-IEEE,
address = pub-IEEE:adr,
month = dec,
year = "2011",
DOI = "https://doi.org/10.1109/ncvpripg.2011.66",
bibdate = "Mon Nov 13 12:14:41 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Xiang:2011:CCF,
author = "Shuhuang Xiang and Yeol Je Cho and Haiyong Wang and
Hermann Brunner",
title = "{Clenshaw--Curtis--Filon}-type methods for highly
oscillatory {Bessel} transforms and applications",
journal = j-IMA-J-NUMER-ANAL,
volume = "31",
number = "4",
pages = "1281--1314",
month = oct,
year = "2011",
CODEN = "IJNADH",
DOI = "https://doi.org/10.1093/imanum/drq035",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
MRclass = "65D30 (33C10 41A55 65R20 65T50)",
MRnumber = "2846756",
MRreviewer = "David R. Hill",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "IMA Journal of Numerical Analysis",
journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@InProceedings{Xuan:2011:CCR,
author = "Yan Xuan and Fu-rong Lin",
booktitle = "Recent Advances in Scientific Computing and Matrix
Analysis [proceedings from the {International Workshop
on Scientific Computing and Matrix Analysis held at the
University of Macau, China, from the 28th to 30th of
December 2009}]",
title = "{Clenshaw--Curtis}-rational quadrature rule for
{Wiener--Hopf} equations of the second kind",
publisher = "International Press",
address = "Somerville, MA, USA",
bookpages = "xii + 126",
pages = "93--110",
year = "2011",
ISBN = "1-57146-202-3",
ISBN-13 = "978-1-57146-202-2",
LCCN = "N32-532 I61/2009",
MRclass = "65D30 (45A05 65R20)",
MRnumber = "2908445",
MRreviewer = "Michael J. Carley",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Pati:2012:MQRa,
author = "Anasuya Pati and Rajani B. Dash and Pritikanta Patra",
title = "A mixed quadrature rule by blending {Clenshaw--Curtis}
and {Lobatto} quadrature rules for approximating real
definite integrals",
journal = "International Journal of Mathematical Sciences and
Engineering Applications. IJMSEA",
volume = "6",
number = "2",
pages = "423--430",
year = "2012",
ISSN = "0973-9424",
ISSN-L = "0973-9424",
MRclass = "65D32",
MRnumber = "2976109",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
ajournal = "Int. J. Math. Sci. Eng. Appl.",
fjournal = "International Journal of Mathematical Sciences and
Engineering Applications. IJMSEA",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Pati:2012:MQRb,
author = "Anasuya Pati and Rajani B. Dash and Pritikanta Patra",
title = "A Mixed Quadrature Rule by Blending {Clenshaw--Curtis}
and {Gauss--Legendre} Quadrature Rules for Approximate
Evaluation of Real Definite Integrals",
journal = "International Journal of Pure Mathematical Sciences",
volume = "2",
pages = "10--15",
month = jun,
year = "2012",
DOI = "https://doi.org/10.18052/www.scipress.com/bsmass.2.10",
ISSN = "2297-6205",
ISSN-L = "2297-6205",
bibdate = "Sun Nov 12 07:49:28 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
journal-URL = "https://www.scipress.com/IJPMS",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
xxjournal = "The Bulletin of Society for Mathematical Services and
Standards",
}
@Article{Xiang:2012:CRG,
author = "Shuhuang Xiang and Folkmar Bornemann",
title = "On the convergence rates of {Gauss} and
{Clenshaw--Curtis} quadrature for functions of limited
regularity",
journal = j-SIAM-J-NUMER-ANAL,
volume = "50",
number = "5",
pages = "2581--2587",
month = jan,
year = "2012",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/120869845",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65D30",
MRnumber = "3022232",
MRreviewer = "Maria Carmela De Bonis",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@MastersThesis{Barden:2013:MCC,
author = "Jeffrey Michael Barden",
title = "A Modified {Clenshaw--Curtis} Quadrature Algorithm",
type = "{M.S.} in Applied Mathematics",
school = "Worcester Polytechnic Institute",
address = "Worcester, MA, USA",
pages = "iv + 29",
day = "24",
month = apr,
year = "2013",
bibdate = "Sun Nov 12 07:33:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
advisor = "Mayer Humi",
remark = "Web search for
A_Modified_Clenshaw-Curtis_Quadrature_Algorithm.pdf",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Dominguez:2013:FCC,
author = "V. Dom{\'\i}nguez and I. G. Graham and T. Kim",
title = "{Filon--Clenshaw--Curtis} rules for highly oscillatory
integrals with algebraic singularities and stationary
points",
journal = j-SIAM-J-NUMER-ANAL,
volume = "51",
number = "3",
pages = "1542--1566",
month = jan,
year = "2013",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/120884146",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65D30",
MRnumber = "3056760",
MRreviewer = "Marija P. Stani\'{c}",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Sommariva:2013:FCF,
author = "Alvise Sommariva",
title = "Fast construction of {Fej{\'e}r} and
{Clenshaw--Curtis} rules for general weight functions",
journal = j-COMPUT-MATH-APPL,
volume = "65",
number = "4",
pages = "682--693",
month = feb,
year = "2013",
CODEN = "CMAPDK",
DOI = "https://doi.org/10.1016/j.camwa.2012.12.004",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
MRclass = "65D30",
MRnumber = "3011452",
MRreviewer = "Concetta Laurita",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/computmathappl2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S089812211200689X",
acknowledgement = ack-nhfb,
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Xiang:2013:CRG,
author = "Shuhuang Xiang and Folkmar Bornemann",
title = "On the Convergence Rates of {Gauss} and
{Clenshaw--Curtis} Quadrature for Functions of Limited
Regularity",
journal = j-SIAM-J-NUMER-ANAL,
volume = "50",
number = "5",
pages = "2581--2587",
month = jan,
year = "2013",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/120869845",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
bibdate = "Thu Mar 7 09:26:04 MST 2013",
bibsource = "http://epubs.siam.org/toc/sjnaam/50/5;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal2010.bib",
note = "See erratum \cite{Xiang:2013:ECC}.",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
onlinedate = "January 2012",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Xiang:2013:ECC,
author = "Shuhuang Xiang and Yeol Je Cho and Haiyong Wang and
Hermann Brunner",
title = "Erratum to {``Clenshaw--Curtis--Filon-type methods for
highly oscillatory Bessel transforms and applications''
(IMA Journal of Numerical Analysis (2011)31:
1281--1314) [MR2846756]}",
journal = j-IMA-J-NUMER-ANAL,
volume = "33",
number = "4",
pages = "1480--1483",
month = may,
year = "2013",
CODEN = "IJNADH",
DOI = "https://doi.org/10.1093/imanum/drs052",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
MRclass = "65D30 (33C10 41A55 65R20 65T50)",
MRnumber = "3119725",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
note = "See \cite{Xiang:2013:CRG}.",
acknowledgement = ack-nhfb,
fjournal = "IMA Journal of Numerical Analysis",
journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Chen:2014:MNC,
author = "Qiong-Sheng Chen and Fu-Rong Lin",
title = "A modified {Nystr{\"o}m--Clenshaw--Curtis} quadrature
for integral equations with piecewise smooth kernels",
journal = j-APPL-NUM-MATH,
volume = "85",
pages = "77--89",
month = nov,
year = "2014",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/j.apnum.2014.05.015",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
ISSN-L = "0168-9274",
MRclass = "65R20 (65D30)",
MRnumber = "3239218",
MRreviewer = "Kai Diethelm",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics. An IMACS Journal",
journal-URL = "http://www.sciencedirect.com/science/journal/01689274",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Dominguez:2014:FCC,
author = "V{\'\i}ctor Dom{\'\i}nguez",
title = "{Filon--Clenshaw--Curtis} rules for a class of
highly-oscillatory integrals with logarithmic
singularities",
journal = j-J-COMPUT-APPL-MATH,
volume = "261",
pages = "299--319",
month = may,
year = "2014",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/j.cam.2013.11.012",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "65D30 (41A55)",
MRnumber = "3144713",
MRreviewer = "Kai Diethelm",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Hinrichs:2014:WTC,
author = "Aicke Hinrichs and Erich Novak and Mario Ullrich",
title = "On weak tractability of the {Clenshaw--Curtis}
{Smolyak} algorithm",
journal = j-J-APPROX-THEORY,
volume = "183",
pages = "31--44",
month = jul,
year = "2014",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/j.jat.2014.03.012",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "65D30 (41A55 65Y20)",
MRnumber = "3209580",
MRreviewer = "Arthur G. Werschulz",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@InProceedings{Jeong:2014:FAW,
author = "Yi-Ru Jeong and Ic-Pyo Hong and Heoung-Jae Chun and
Yong Bae Park and Youn-Jae Kim and Jong-Gwan Yook",
booktitle = "The 8th European Conference on Antennas and
Propagation ({EuCAP} 2014)",
title = "Fast analysis over a wide band using {Chebyshev}
approximation with {Clenshaw--Lord} approximation",
publisher = pub-IEEE,
address = pub-IEEE:adr,
month = apr,
year = "2014",
DOI = "https://doi.org/10.1109/eucap.2014.6902029",
bibdate = "Mon Nov 13 12:14:41 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Xiang:2014:FSI,
author = "Shuhuang Xiang and Guo He and Haiyong Wang",
title = "On fast and stable implementation of
{Clenshaw--Curtis} and {Fej{\'e}r}-type quadrature
rules",
journal = j-ABSTR-APPL-ANAL,
pages = "Art. ID 436164",
year = "2014",
DOI = "https://doi.org/10.1155/2014/436164",
ISSN = "1085-3375 (print), 1687-0409 (electronic)",
ISSN-L = "1085-3375",
MRclass = "65D30",
MRnumber = "3256247",
MRreviewer = "Alexandru Ioan Mitrea",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
accepted = "5 August 2014",
acknowledgement = ack-nhfb,
fjournal = "Abstract and Applied Analysis",
journal-URL = "https://www.hindawi.com/journals/aaa/",
pagecount = "10",
published = "27 Aug 2014",
received = "27 June 2014",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Hasegawa:2015:EEC,
author = "Takemitsu Hasegawa and Hiroshi Sugiura",
title = "Error estimate for a corrected {Clenshaw--Curtis}
quadrature rule",
journal = j-NUM-MATH,
volume = "130",
number = "1",
pages = "135--149",
month = may,
year = "2015",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/s00211-014-0660-y",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65D30 (41A55 65D32)",
MRnumber = "3322363",
MRreviewer = "Kai Diethelm",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "http://link.springer.com/journal/211/130/1;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/nummath2010.bib",
URL = "http://link.springer.com/article/10.1007/s00211-014-0660-y",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Ma:2015:ICI,
author = "Junjie Ma",
title = "Implementing the complex integral method with the
transformed {Clenshaw--Curtis} quadrature",
journal = j-APPL-MATH-COMP,
volume = "250",
number = "??",
pages = "792--797",
day = "1",
month = jan,
year = "2015",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2014.09.098",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
MRclass = "65D30",
MRnumber = "3285582",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300314013320",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@InProceedings{Nobile:2015:CCC,
author = "Fabio Nobile and Lorenzo Tamellini and Raul Tempone",
booktitle = "Spectral and High Order Methods for Partial
Differential Equations---{ICOSAHOM 2014}",
title = "Comparison of {Clenshaw--Curtis} and {Leja}
quasi-optimal sparse grids for the approximation of
random {PDEs}",
volume = "106",
publisher = pub-SV,
address = pub-SV:adr,
pages = "475--482",
year = "2015",
DOI = "https://doi.org/10.1007/978-3-319-19800-2_44",
ISBN = "3-319-19800-9, 3-319-19799-1",
ISBN-13 = "978-3-319-19800-2, 978-3-319-19799-9",
MRclass = "65N75 (65D30)",
MRnumber = "3630838",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
series = "Lect. Notes Comput. Sci. Eng.",
acknowledgement = ack-nhfb,
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
xxpublisher = "Springer, Cham",
}
@Article{Smith:2015:CPQ,
author = "H. V. Smith",
title = "Convergence properties of a quadrature formula of
{Clenshaw--Curtis} type for the {Gegenbauer} weight
function",
journal = j-BIT-NUM-MATH,
volume = "55",
number = "3",
pages = "823--842",
month = sep,
year = "2015",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-014-0520-2",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65D30 (65D32)",
MRnumber = "3401815",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "http://link.springer.com/journal/10543/55/3;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://link.springer.com/article/10.1007/s10543-014-0520-2",
acknowledgement = ack-nhfb,
fjournal = "BIT. Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Xiang:2015:EBF,
author = "Shuhuang Xiang and Guo He and Yeol Je Cho",
title = "On error bounds of {Filon--Clenshaw--Curtis}
quadrature for highly oscillatory integrals",
journal = j-ADV-COMPUT-MATH,
volume = "41",
number = "3",
pages = "573--597",
month = sep,
year = "2015",
CODEN = "ACMHEX",
DOI = "https://doi.org/10.1007/s10444-014-9377-9",
ISSN = "1019-7168 (print), 1572-9044 (electronic)",
ISSN-L = "1019-7168",
MRclass = "65D30 (65D32)",
MRnumber = "3357926",
MRreviewer = "Marija P. Stani\'{c}",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Advances in Computational Mathematics",
journal-URL = "http://link.springer.com/journal/10444",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Notaris:2016:ENC,
author = "Sotirios E. Notaris",
title = "The error norm of {Clenshaw--Curtis} and related
quadrature formulae",
journal = j-BIT-NUM-MATH,
volume = "56",
number = "2",
pages = "705--728",
month = jun,
year = "2016",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-015-0569-6",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65D30 (41A55 65D32)",
MRnumber = "3503260",
MRreviewer = "Kai Diethelm",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "http://link.springer.com/journal/10543/56/2;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://link.springer.com/article/10.1007/s10543-015-0569-6",
acknowledgement = ack-nhfb,
fjournal = "BIT. Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Al-Towaiq:2017:MAC,
author = "Mohammad Al-Towaiq and Marwan Alquran and Osama
Al-Khazaleh",
title = "A modified algorithm for the {Clenshaw--Curtis}
method",
journal = j-J-INF-OPTIM-SCI,
volume = "38",
number = "3--4",
pages = "455--469",
year = "2017",
CODEN = "JIOSDC",
DOI = "https://doi.org/10.1080/02522667.2016.1224460",
ISSN = "0252-2667",
ISSN-L = "0252-2667",
MRclass = "65D30",
MRnumber = "3705031",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Information and Optimization Sciences",
journal-URL = "https://www.tandfonline.com/journals/tios20",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Gao:2017:GFC,
author = "Jing Gao and Arieh Iserles",
title = "A generalization of {Filon--Clenshaw--Curtis}
quadrature for highly oscillatory integrals",
journal = j-BIT,
volume = "57",
number = "4",
pages = "943--961",
month = sep,
year = "2017",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-017-0682-9",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65D30 (41A55)",
MRnumber = "3735996",
MRreviewer = "D. S. Lubinsky",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "BIT. Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@InProceedings{Jahid:2017:IMR,
author = "Tarik Jahid and Hicham Karmouni and Abdeslam Hmimid
and Mhamed Sayyouri and Hassan Qjidaa",
booktitle = "2017 International Conference on Electrical and
Information Technologies ({ICEIT})",
title = "Image moments and reconstruction by {Krawtchouk} via
{Clenshaw}'s recurrence formula",
publisher = pub-IEEE,
address = pub-IEEE:adr,
month = nov,
year = "2017",
DOI = "https://doi.org/10.1109/eitech.2017.8255265",
bibdate = "Mon Nov 13 12:14:41 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Majidian:2017:FCC,
author = "Hassan Majidian",
title = "{Filon--Clenshaw--Curtis} formulas for highly
oscillatory integrals in the presence of stationary
points",
journal = j-APPL-NUM-MATH,
volume = "117",
pages = "87--102",
month = jul,
year = "2017",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/j.apnum.2017.02.003",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
ISSN-L = "0168-9274",
MRclass = "65D30",
MRnumber = "3635351",
MRreviewer = "Maria Carmela De Bonis",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics. An IMACS Journal",
journal-URL = "http://www.sciencedirect.com/science/journal/01689274",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Wang:2018:CRC,
author = "Haiyong Wang",
title = "On the convergence rate of {Clenshaw--Curtis}
quadrature for integrals with algebraic endpoint
singularities",
journal = j-J-COMPUT-APPL-MATH,
volume = "333",
number = "??",
pages = "87--98",
day = "1",
month = may,
year = "2018",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/j.cam.2017.10.034",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "65D30 (41A25 41A55)",
MRnumber = "3739942",
MRreviewer = "Arnak Poghosyan",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042717305368",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Hashemi:2019:ECE,
author = "Behnam Hashemi",
title = "Enclosing {Chebyshev} Expansions in Linear Time",
journal = j-TOMS,
volume = "45",
number = "3",
pages = "27:1--27:33",
month = jul,
year = "2019",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/3319395",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Wed Jul 31 08:06:08 MDT 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/toms.bib",
URL = "https://dl.acm.org/citation.cfm?id=3319395",
abstract = "We consider the problem of computing rigorous
enclosures for polynomials represented in the Chebyshev
basis. Our aim is to compare and develop algorithms
with a linear complexity in terms of the polynomial
degree. A first category of methods relies on a direct
interval evaluation of the given Chebyshev expansion in
which Chebyshev polynomials are bounded, e.g., with a
divide-and-conquer strategy. Our main category of
methods that are based on the Clenshaw recurrence
includes interval Clenshaw with defect correction
(ICDC), and the spectral transformation of Clenshaw
recurrence rewritten as a discrete dynamical system. An
extension of the barycentric representation to interval
arithmetic is also considered that has a log-linear
complexity as it takes advantage of a verified discrete
cosine transform. We compare different methods and
provide illustrative numerical experiments. In
particular, our eigenvalue-based methods are
interesting for bounding the range of high-degree
interval polynomials. Some of the methods rigorously
compute narrow enclosures for high-degree Chebyshev
expansions at thousands of points in a few seconds on
an average computer. We also illustrate how to employ
our methods as an automatic a posteriori forward error
analysis tool to monitor the accuracy of the Chebfun
feval command.",
acknowledgement = ack-nhfb,
articleno = "27",
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "https://dl.acm.org/loi/toms",
keywords = "Chebfun; feval; interval arithmetic; interval Clenshaw
with defect correction (ICDC)",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Liu:2019:CCT,
author = "Guidong Liu and Shuhuang Xiang",
title = "{Clenshaw--Curtis}-type quadrature rule for
hypersingular integrals with highly oscillatory
kernels",
journal = j-APPL-MATH-COMP,
volume = "340",
pages = "251--267",
month = jan,
year = "2019",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2018.08.004",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
MRclass = "65D30",
MRnumber = "3855182",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Loukrezis:2019:APL,
author = "Dimitrios Loukrezis and Ulrich R{\"o}mer and Herbert
{De Gersem}",
title = "Assessing the performance of {Leja} and
{Clenshaw--Curtis} collocation for computational
electromagnetics with random input data",
journal = "International Journal for Uncertainty Quantification",
volume = "9",
number = "1",
pages = "33--57",
year = "2019",
DOI = "https://doi.org/10.1615/Int.J.UncertaintyQuantification.2018025234",
ISSN = "2152-5080 (print), 2152-5099 (electronic)",
ISSN-L = "2152-5080",
MRclass = "65C50 (60H35 78A50)",
MRnumber = "3934434",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
ajournal = "Int. J. Uncertain. Quantif.",
fjournal = "International Journal for Uncertainty Quantification",
journal-URL = "https://www.dl.begellhouse.com/journals/52034eb04b657aea.html",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Majidian:2019:SAF,
author = "Hassan Majidian",
title = "Stable application of {Filon--Clenshaw--Curtis} rules
to singular oscillatory integrals by exponential
transformations",
journal = j-BIT,
volume = "59",
number = "1",
pages = "155--181",
month = oct,
year = "2019",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-018-0730-0",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65D30 (65T40)",
MRnumber = "3921376",
MRreviewer = "Donatella Occorsio",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "BIT. Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@InCollection{Sutton:2019:AAC,
author = "Brian Sutton",
title = "Accuracy analysis for {Clenshaw--Curtis} quadrature",
crossref = "Sutton:2019:NAT",
chapter = "18",
pages = "203--210",
month = jan,
year = "2019",
DOI = "https://doi.org/10.1137/1.9781611975703.ch18",
bibdate = "Mon Nov 13 05:49:54 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Sutton:2019:ICG,
author = "Brian Sutton",
title = "Integration on a {Chebyshev} grid: {Clenshaw--Curtis}
quadrature",
crossref = "Sutton:2019:NAT",
chapter = "17",
pages = "195--201",
month = jan,
year = "2019",
DOI = "https://doi.org/10.1137/1.9781611975703.ch17",
bibdate = "Mon Nov 13 05:49:54 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
}
@Article{vanWyk:2019:CCT,
author = "Hans-Werner van Wyk and Max Gunzburger and John
Burkardt",
title = "{Clenshaw--Curtis} type rules for statistics",
journal = j-SIAM-J-SCI-COMP,
volume = "??",
number = "??",
pages = "1--26",
month = "????",
year = "2019",
CODEN = "SJOCE3",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
bibdate = "Sun Nov 12 09:39:09 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
URL = "https://people.sc.fsu.edu/~jburkardt/publications/vgb_2016.pdf",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Scientific Computing",
journal-URL = "http://epubs.siam.org/sisc",
remark = "This article has not yet been published in this
journal, although the PDF file is formatted for it.",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Skandari:2020:DMB,
author = "Mohammad Hadi Noori Skandari and Marzieh Habibli and
Alireza Nazemi",
title = "A direct method based on the {Clenshaw--Curtis}
formula for fractional optimal control problems",
journal = "Mathematical Control and Related Fields",
volume = "10",
number = "1",
pages = "171--187",
month = mar,
year = "2020",
DOI = "https://doi.org/10.3934/mcrf.2019035",
ISSN = "2156-8472 (print), 2156-8499 (electronic)",
ISSN-L = "2156-8499",
MRclass = "49J15 (26A33 34A08 49M25)",
MRnumber = "4063632",
MRreviewer = "Krishnan Balachandran",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
ajournal = "Math. Control Relat. Fields",
fjournal = "Mathematical Control and Related Fields",
journal-URL = "https://www.aimsciences.org/mcrf",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Kayijuka:2021:CCA,
author = "I. Kayijuka and {\c{S}}. M. Ege and A. Konuralp and F.
S. Topal",
title = "{Clenshaw--Curtis} algorithms for an efficient
numerical approximation of singular and highly
oscillatory {Fourier} transform integrals",
journal = j-J-COMPUT-APPL-MATH,
volume = "385",
pages = "Paper No. 113201",
day = "15",
month = mar,
year = "2021",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/j.cam.2020.113201",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "65D30 (65D32 65K05)",
MRnumber = "4158733",
MRreviewer = "Alexandru M. Bica",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
pagecount = "13",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@InProceedings{Majidian:2021:AEF,
author = "Hassan Majidian",
booktitle = "2021 52nd Annual Iranian Mathematics Conference
({AIMC})",
title = "On adaptive extended {Filon--Clenshaw--Curtis} rules",
publisher = pub-IEEE,
address = pub-IEEE:adr,
month = aug,
year = "2021",
DOI = "https://doi.org/10.1109/aimc54250.2021.9656973",
bibdate = "Mon Nov 13 12:14:41 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Majidian:2021:MFC,
author = "Hassan Majidian",
title = "Modified {Filon--Clenshaw--Curtis} rules for
oscillatory integrals with a nonlinear oscillator",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "54",
pages = "276--295",
year = "2021",
DOI = "https://doi.org/10.1553/etna_vol54s276",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
MRclass = "65D30",
MRnumber = "4244341",
MRreviewer = "Domingo Barrera",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Sugiura:2021:TCC,
author = "Hiroshi Sugiura and Takemitsu Hasegawa",
title = "A truncated {Clenshaw--Curtis} formula approximates
integrals over a semi-infinite interval",
journal = j-NUMER-ALGORITHMS,
volume = "86",
number = "2",
pages = "659--674",
month = feb,
year = "2021",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-020-00905-w",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "65D30",
MRnumber = "4202259",
MRreviewer = "Arnak Poghosyan",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://link.springer.com/article/10.1007/s11075-020-00905-w",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@TechReport{Guo:2022:CGN,
author = "Yuhe Guo and Zhewei Wei",
title = "{Clenshaw} Graph Neural Networks",
institution = "Renmin University of China",
address = "Beijing, China",
pages = "1--10",
month = oct,
year = "2022",
bibdate = "Sun Nov 12 07:43:26 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
note = "Published in \cite{Guo:2023:CGN}.",
URL = "https://www.researchgate.net/publication/364953685_Clenshaw_Graph_Neural_Networks",
acknowledgement = ack-nhfb,
keywords = "ClenshawGCN (a GNN model that employs the Clenshaw
Summation Algorithm)",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Huang:2022:CCS,
author = "Chaolan Huang and Chunhua Fang and Jianyu Wang and
Zhengsu Wan",
title = "On {Clenshaw--Curtis} spectral collocation method for
{Volterra} integral equations",
journal = "Journal of Applied Mathematics and Informatics",
volume = "40",
number = "5--6",
pages = "983--993",
year = "2022",
DOI = "https://doi.org/10.14317/jami.2022.983",
ISSN = "2734-1194 (print), 2234-8417 (electronic)",
ISSN-L = "2234-8417",
MRclass = "65R20 (65F10 65H05)",
MRnumber = "4495977",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
ajournal = "J. Appl. Math. Inform.",
bad-doi = "https://doi.org/10.1134/s0001434622050339",
fjournal = "Journal of Applied Mathematics and Informatics",
journal-URL = "http://koreascience.or.kr/journal/E1MCA9.page",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Majidian:2022:SFC,
author = "Hassan Majidian and Medina Firouzi and Amjad
Alipanah",
title = "On the stability of {Filon--Clenshaw--Curtis} rules",
journal = "Bulletin of the Iranian Mathematical Society",
volume = "48",
number = "6",
pages = "2943--2964",
year = "2022",
DOI = "https://doi.org/10.1007/s41980-022-00681-4",
ISSN = "1017-060X",
ISSN-L = "1017-060X",
MRclass = "42A38 (65D30)",
MRnumber = "4523880",
MRreviewer = "Domingo Barrera",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
ajournal = "Bull. Iranian Math. Soc.",
fjournal = "Bulletin of the Iranian Mathematical Society",
journal-URL = "https://www.springer.com/journal/41980",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Sugiura:2022:ECC,
author = "Hiroshi Sugiura and Takemitsu Hasegawa",
title = "Extensions of {Clenshaw--Curtis}-type rules to
integrals over a semi-infinite interval",
journal = j-NUMER-ALGORITHMS,
volume = "90",
number = "1",
pages = "3--30",
month = may,
year = "2022",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-021-01177-8",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "65D30",
MRnumber = "4409343",
MRreviewer = "Haiyong Wang",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "https://link.springer.com/article/10.1007/s11075-021-01177-8",
acknowledgement = ack-nhfb,
ajournal = "Numer. Algorithms",
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Boyd:2023:UPA,
author = "John P. Boyd",
title = "Using parity to accelerate {Hermite} function
computations: zeros of truncated {Hermite} series,
{Gaussian} quadrature and {Clenshaw} summation",
journal = j-MATH-COMP-SIM,
volume = "207",
pages = "521--532",
month = may,
year = "2023",
CODEN = "MCSIDR",
DOI = "https://doi.org/10.1016/j.matcom.2022.12.006",
ISSN = "0378-4754 (print), 1872-7166 (electronic)",
ISSN-L = "0378-4754",
MRclass = "99-01",
MRnumber = "4539123",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics and Computers in Simulation",
journal-URL = "http://www.sciencedirect.com/science/journal/03784754",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Article{Chen:2023:NCR,
author = "Linchong Chen and Xiaolin Li",
title = "Numerical calculation of regular and singular
integrals in boundary integral equations using
{Clenshaw--Curtis} quadrature rules",
journal = j-ENG-ANAL-BOUND-ELEM,
volume = "155",
pages = "25--37",
year = "2023",
DOI = "https://doi.org/10.1016/j.enganabound.2023.05.047",
ISSN = "0955-7997 (print), 1873-197X (electronic)",
ISSN-L = "0955-7997",
MRclass = "65R30 (65D32)",
MRnumber = "4598913",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Engineering Analysis with Boundary Elements",
journal-URL = "https://www.sciencedirect.com/journal/engineering-analysis-with-boundary-elements",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@InProceedings{Guo:2023:CGN,
author = "Yuhe Guo and Zhewei Wei",
booktitle = "Proceedings of the {29th ACM SIGKDD Conference on
Knowledge Discovery and Data Mining}",
title = "{Clenshaw} Graph Neural Networks",
publisher = pub-ACM,
address = pub-ACM:adr,
month = aug,
year = "2023",
DOI = "https://doi.org/10.1145/3580305.3599275",
bibdate = "Mon Nov 13 12:05:17 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
keywords = "ClenshawGCN (a GNN model that employs the Clenshaw
Summation Algorithm)",
}
@Article{Gao:2024:BFC,
author = "Jing Gao and Gaoqin Chang",
title = "A bivariate {Filon--Clenshaw--Curtis} method of the
highly oscillatory integrals on a square",
journal = j-J-COMPUT-APPL-MATH,
volume = "439",
pages = "Paper No. 115599",
day = "15",
month = mar,
year = "2024",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/j.cam.2023.115599",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "65D30 (65D32)",
MRnumber = "4658451",
bibdate = "Sun Nov 12 06:18:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Charles William Clenshaw (15 March 1926--23 September
2004)",
}
@Proceedings{Anonymous:1978:CDJ,
editor = "Anonymous",
title = "The Contribution of {Dr. J. H. Wilkinson} to Numerical
Analysis",
publisher = "The Institute of Mathematics and its Applications",
address = "",
pages = "??--??",
year = "1978",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Symposium Proceedings Series No. 19",
mynote = "No editor, although MJDP `organised'.",
}
@Book{Turner:1989:NAP,
editor = "Peter R. Turner",
booktitle = "Numerical Analysis and Parallel Processing: Lectures
given at {The Lancaster Numerical Analysis Summer
School 1987}",
title = "Numerical Analysis and Parallel Processing: Lectures
given at {The Lancaster Numerical Analysis Summer
School 1987}",
volume = "1397",
publisher = pub-SV,
address = pub-SV:adr,
pages = "vi + 264",
year = "1989",
DOI = "https://doi.org/10.1007/BFb0085715",
ISBN = "3-540-51645-X",
ISBN-13 = "978-3-540-51645-3",
MRclass = "65-06",
MRnumber = "1022260",
bibdate = "Tue Nov 7 08:06:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib",
note = "Lectures from the Third S.E.R.C. Numerical Analysis
Summer School held at the University of Lancaster,
Lancaster, 1987",
series = "Lecture Notes in Mathematics",
acknowledgement = ack-nhfb,
author-dates = "Charles William Clenshaw (15 March 1926--23 September
2004); Frank William John Olver (15 December 1924--23
April 2013)",
tableofcontents = "Front Matter / n2--vi \\
Parallel computation and optimisation a series of five
lectures (July 1987) / Laurence C. W. Dixon / 1--30 \\
Solution of sparse systems of equations on
multiprocessor architectures / Alan George / 31--94 \\
Level-index arithmetic: An introductory survey / C. W.
Clenshaw, F. W. J. Olver, P. R. Turner / 95--168 \\
Some aspects of floating point computation / Alan
Feldstein, Richard H. Goodman / 169--181 \\
Some gradient superconvergence results in the finite
element method / J. R. Whiteman, G. Goodsell / 182--260
\\
Programme of the meeting / Peter R. Turner / 261--264
\\
Back Matter / 265--267",
}
@Book{Press:1992:NRFa,
author = "William H. Press and Saul A. Teukolsky and William T.
Vetterling and Brian P. Flannery",
key = "NR-1992",
title = "Numerical recipes in {FORTRAN}: the art of scientific
computing",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
edition = "Second",
pages = "xxvi + 963",
day = "1",
month = oct,
year = "1992",
ISBN = "0-521-43064-X (book), 0-521-43721-0 (example book)
0-521-43717-2 (diskette), 0-521-43719-9 (diskette),
0-521-43716-4 (diskette)",
ISBN-13 = "978-0-521-43064-7 (book), 978-0-521-43721-9 (example
book) 978-0-521-43717-2 (diskette), 978-0-521-43719-6
(diskette), 978-0-521-43716-5 (diskette)",
LCCN = "QA76.73.C15 N865 1992",
MRclass = "65-00 (62-04 65-04)",
MRnumber = "93i:65001a",
bibdate = "Sun Sep 28 10:42:07 MDT 1997",
bibsource = "http://www.amazon.com/exec/obidos/ISBN=052143064X/wholesaleproductA/;
http://www.amazon.com/exec/obidos/ISBN=0521437164/wholesaleproductA/;
http://www.amazon.com/exec/obidos/ISBN=0521437172/wholesaleproductA/;
http://www.amazon.com/exec/obidos/ISBN=0521437199/wholesaleproductA/;
http://www.cbooks.com/;
https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/fortran3.bib",
note = "Includes MacIntosh disk.",
price = "US\$39.95; US\$54.95",
URL = "http://www.cbooks.com/sqlnut/SP/search/gtsumt?source=&isbn=052143064X;
http://www.cbooks.com/sqlnut/SP/search/gtsumt?source=&isbn=0521437164;
http://www.cbooks.com/sqlnut/SP/search/gtsumt?source=&isbn=0521437172;
http://www.cbooks.com/sqlnut/SP/search/gtsumt?source=&isbn=0521437199",
acknowledgement = ack-nhfb,
dimensions = "9.92in x 6.70in x 1.69in",
hardcover = "yes",
keywords = "FORTRAN (Computer program language); Fortran (computer
program language); numerical analysis -- computer
programs; Numerical analysis --- Computer programs;
science -- mathematics -- computer programs; Science
--- Mathematics --- Computer programs",
tableofcontents = "Legal matters \\
List of computer programs \\
Preliminaries \\
Solution of linear algebraic equations \\
Interpolation and extrapolation \\
Integration of functions \\
Evaluation of functions \\
Special functions \\
Random numbers \\
Sorting \\
Root finding and nonlinear sets of equations \\
Minimization or maximization of functions \\
Eigensystems \\
Fast Fourier transform \\
Fourier and spectral applications \\
Statistical description of data \\
Modeling of data \\
Integration of ordinary differential equations \\
Two point boundary value problems \\
Integral equations and inverse theory \\
Partial differential equations \\
Less-numerical algorithms \\
References \\
Index of programs and dependencies \\
General index",
}
@Proceedings{Wang:1992:ISS,
editor = "Paul S. Wang",
booktitle = "International System Symposium on Symbolic and
Algebraic Computation 92, July 27--29, Berkeley,
California",
title = "International System Symposium on Symbolic and
Algebraic Computation 92, July 27--29, Berkeley,
California",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "ix + 406",
year = "1992",
ISBN = "0-89791-489-9",
ISBN-13 = "978-0-89791-489-5",
LCCN = "QA 76.95 I59 1992",
bibdate = "Mon May 11 12:36:57 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
https://www.math.utah.edu/pub/tex/bib/maple-extract.bib",
acknowledgement = ack-nhfb,
confsponsor = "ACM",
}
@Book{Sutton:2019:NAT,
author = "Brian Sutton",
booktitle = "Numerical Analysis: Theory and Experiments",
title = "Numerical Analysis: Theory and Experiments",
publisher = pub-SIAM,
address = pub-SIAM:adr,
bookpages = "xv + 431",
pages = "xv + 431",
month = jan,
year = "2019",
DOI = "https://doi.org/10.1137/1.9781611975703",
ISBN = "1-61197-569-7 (print), 1-61197-570-0 (e-book)",
ISBN-13 = "978-1-61197-569-7 (print), 978-1-61197-570-3
(e-book)",
LCCN = "QA297 .S877 2019",
bibdate = "Mon Nov 13 05:49:54 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1137/1.9781611975703",
tableofcontents = "1: Computation \\
2: Interpolation \\
3: Integration \\
4: Systems of linear equations \\
5: Linear differential equations \\
6: Zero finding \\
7: Nonlinear differential equations \\
A Interpolation with repeated nodes \\
B Complex functions \\
C Interpolation in the complex plane \\
D Additional proofs for Newton--Cotes quadrature \\
Bibliography \\
Index",
}