%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Jim Hamilton Verner", %%% version = "1.15", %%% date = "19 September 2023", %%% time = "11:46:53 MDT", %%% filename = "verner-jim-hamilton.bib", %%% address = "Queen's University %%% Jeffery Hall, Room 506 %%% Kingston, Ontario, K7L 3N6 %%% CANADA", %%% telephone = "+1 613 545 2404", %%% FAX = "+1 613 545 2964", %%% checksum = "29286 654 2555 25760", %%% email = "jim at jhv.mast.queensu.ca (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "Runge--Kutta methods", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a bibliography of publications of %%% Jim Hamilton Verner. The companion LaTeX file %%% verner-jim-hamilton.ltx can be used to typeset %%% this bibliography. %%% %%% At version 1.15, the year coverage looked %%% like this: %%% %%% 1967 ( 1) 1977 ( 0) 1987 ( 0) %%% 1968 ( 1) 1978 ( 1) 1988 ( 0) %%% 1969 ( 3) 1979 ( 2) 1989 ( 0) %%% 1970 ( 1) 1980 ( 0) 1990 ( 1) %%% 1971 ( 3) 1981 ( 0) 1991 ( 2) %%% 1972 ( 1) 1982 ( 1) 1992 ( 1) %%% 1973 ( 0) 1983 ( 0) 1993 ( 3) %%% 1974 ( 0) 1984 ( 0) 1994 ( 4) %%% 1975 ( 0) 1985 ( 0) 1995 ( 3) %%% 1976 ( 3) 1986 ( 0) 1996 ( 1) %%% %%% Article: 16 %%% InProceedings: 6 %%% PhdThesis: 1 %%% TechReport: 8 %%% Unpublished: 1 %%% %%% Total entries: 32 %%% %%% This file is available as part of the BibNet %%% Project. The master copy is available for %%% public access on ftp.math.utah.edu in the %%% directory tree /pub/bibnet/authors. It is %%% mirrored to netlib.bell-labs.com in the directory %%% tree /netlib/bibnet/authors, from which it is %%% available via anonymous ftp and the Netlib %%% service. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== %%% ==================================================================== %%% Journal abbreviations: @String{j-ANN-NUM-MATH = "Annals of Numerical Mathematics"} @String{j-APPL-NUM-MATH = "Applied Numerical Mathematics: Transactions of IMACS"} @String{j-BIT-NUM-MATH = "BIT Numerical Mathematics"} @String{j-CAN-J-MATH = "Canadian J. Math."} @String{j-LECT-NOTES-MATH = "Lecture Notes in Mathematics"} @String{j-MATH-COMPUT = "Mathematics of Computation"} @String{j-NUM-MATH = "Numerische Mathematik"} @String{j-SIAM-J-NUMER-ANAL = "{SIAM} Journal of Numerical Analysis"} %%% ==================================================================== %%% Publisher abbreviations: @String{pub-ADA-JANE-PRESS = "Ada+Jane Press, Benin City, Nigeria"} @String{pub-ADA-JANE-PRESS:adr = "S.O. Fatunla, University of Benin, Benin City, Nigeria"} @String{pub-UP-IBADAN = "University Press PLC, Ibadan, Nigeria"} @String{pub-UP-IBADAN:adr = "S.O. Fatunla, University of Benin, Benin City, Nigeria"} @String{pub-UTIL-MATH = "Utilitas Mathematica"} @String{pub-SPRINGER = "Springer-Verlag"} @String{pub-SPRINGER:adr = "Berlin"} %%% ==================================================================== %%% Bibliography entries: @TechReport{Verner:1967:CFD, author = "J. H. Verner", title = "Convergence of a Finite Difference Scheme for a Second Order Ordinary Differential Equation with a singularity", number = "001", institution = "University of London Institute of Computer Science", pages = "19", year = "1967", bibdate = "Thu Feb 10 16:53:24 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", } @Article{Verner:1968:GTC, author = "J. H. Verner and M. J. M. Bernal", title = "On Generalizations of the Theory of Consistent Orderings for Successive Over-Relaxation Methods", journal = j-NUM-MATH, volume = "12", pages = "215--222", year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Feb 10 16:53:42 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Verner:1969:IMI, author = "J. H. Verner", title = "Implicit Methods for Implicit Differential Equations", journal = j-LECT-NOTES-MATH, volume = "109", pages = "261--266", year = "1969", CODEN = "LNMAA2", ISBN = "3-540-04628-3 (print), 3-540-36158-8 (e-book)", ISBN-13 = "978-3-540-04628-8 (print), 978-3-540-36158-9 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", bibdate = "Thu May 8 17:39:14 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib; https://www.math.utah.edu/pub/tex/bib/lnm1960.bib", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/BFb0060012", book-URL = "http://www.springerlink.com/content/978-3-540-36158-9", fjournal = "Lecture Notes in Mathematics", journal-URL = "http://link.springer.com/bookseries/304", } @PhdThesis{Verner:1969:NSD, author = "James H. Verner", title = "Numerical Solution of Differential Equations", school = "University of Edinburgh, Scotland", address = "Department of Computer Science, University of Edinburgh, Scotland", pages = "ix + 187 + 3 appendices", year = "1969", bibdate = "Thu Feb 10 16:53:28 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", } @Article{Verner:1969:OSI, author = "J. H. Verner", title = "The Order of Some Implicit {Runge--Kutta} Methods", journal = j-NUM-MATH, volume = "13", pages = "14--23", year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Feb 10 16:53:42 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Verner:1970:QID, author = "J. H. Verner", title = "Quadratures for Implicit Differential Equations", journal = j-SIAM-J-NUMER-ANAL, volume = "7", number = "3", pages = "373--385", month = sep, year = "1970", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "JSTOR database; https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @InProceedings{Verner:1971:DCH, author = "J. H. Verner", editor = "R. S. D. Thomas and H. C. Williams", booktitle = "Proceedings of the Manitoba Conference on Numerical Mathematics", title = "On Deriving Certain Hybrid Methods", publisher = "Department of Computer Science, University of Manitoba", address = "Winnipeg, Manitoba, Canada", pages = "607--626", year = "1971", bibdate = "Thu Feb 10 16:53:46 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", } @TechReport{Verner:1971:DERa, author = "J. H. Verner", title = "On Deriving Explicit {Runge--Kutta} Methods", number = "5", institution = "Queen's University, Kingston, Canada", pages = "1--27", year = "1971", bibdate = "Thu Feb 10 16:53:24 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", } @InProceedings{Verner:1971:DERb, author = "J. H. Verner", editor = "J. Ll. Morris", booktitle = "Conference on Applications of Numerical Analysis", title = "On Deriving Explicit {Runge--Kutta} Methods", number = "228", publisher = pub-SPRINGER, pages = "340--347", year = "1971", ISBN = "0-387-05656-4", ISBN-13 = "978-0-387-05656-2", bibdate = "Thu Feb 10 16:53:46 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", note = "Short version of the technical report \cite{Verner:1971:DERa}", series = "Lecture Notes in Mathematics", } @Article{Cooper:1972:SER, author = "G. J. Cooper and J. H. Verner", title = "Some Explicit {Runge--Kutta} Methods of High Order", journal = j-SIAM-J-NUMER-ANAL, volume = "9", number = "3", pages = "389--405", month = sep, year = "1972", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "JSTOR database; https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @Article{Geramita:1976:ODZ, author = "A. V. Geramita and J. H. Verner", title = "Orthogonal Designs with Zero Diagonal", journal = j-CAN-J-MATH, volume = "XXVIII", number = "1", pages = "215--224", year = "1976", CODEN = "CJMAAB", ISSN = "0008-414X (print), 1496-4279 (electronic)", bibdate = "Thu Feb 10 16:53:42 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", fjournal = "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", } @TechReport{Verner:1976:DHO, author = "J. H. Verner", title = "The Derivation of High-Order {Runge--Kutta} Methods", number = "93", institution = "University of Auckland, New Zealand", pages = "1--27", year = "1976", bibdate = "Thu Feb 10 16:53:24 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", } @InProceedings{Verner:1976:SRK, author = "J. H. Verner", editor = "B. L. Hartnell and H. C. Williams", booktitle = "Proceedings of the Sixth Manitoba Conference on Numerical Mathematics", title = "Selecting a {Runge--Kutta} Method", publisher = pub-UTIL-MATH, address = "P.O. Box 7, University centre, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada", pages = "495--504", year = "1976", ISBN = "0-919628-18-4", ISBN-13 = "978-0-919628-18-2", bibdate = "Thu Feb 10 16:53:46 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", } @Article{Verner:1978:ERK, author = "J. H. Verner", title = "Explicit {Runge--Kutta} Methods with Estimates of the Local Truncation Error", journal = j-SIAM-J-NUMER-ANAL, volume = "15", number = "4", pages = "772--790", month = aug, year = "1978", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "JSTOR database; https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @Article{Verner:1979:FIR, author = "J. H. Verner", title = "Families of Imbedded {Runge--Kutta} Methods", journal = j-SIAM-J-NUMER-ANAL, volume = "16", number = "5", pages = "857--875", month = oct, year = "1979", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65L05", MRnumber = "81d:65041", MRreviewer = "Ren{\'e} Alt", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "JSTOR database; https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @InProceedings{Verner:1979:JBA, author = "J. H. Verner", editor = "G. H. J. van Rees and H. C. Williams", booktitle = "Proceedings of the Ninth Manitoba Conference on Numerical Mathematics", title = "John Butcher's Algebraic Theory: Motivation for Selecting Simplifying Conditions", publisher = pub-UTIL-MATH, address = "P.O. Box 7, University centre, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada", pages = "125--155", year = "1979", ISBN = "0-919628-27-3", ISBN-13 = "978-0-919628-27-4", bibdate = "Thu Feb 10 16:53:46 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", } @Unpublished{Verner:1982:DEM, author = "J. H. Verner", title = "Deriving Explicit Methods", pages = "1--44", month = jul, year = "1982", bibdate = "Thu Feb 10 16:52:27 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", note = "Text of a presentation at the Canadian Mathematics Society Seminar on Numerical Analysis", } @Article{Verner:1990:CSR, author = "J. H. Verner", title = "A Contrast of Some {Runge--Kutta} Formula Pairs", journal = j-SIAM-J-NUMER-ANAL, volume = "27", number = "5", pages = "1332--1344", month = oct, year = "1990", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65L06", MRnumber = "91g:65179", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "JSTOR database; https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @TechReport{Sharp:1991:CIR, author = "P. W. Sharp and J. H. Verner", title = "Completely Imbedded {Runge--Kutta} Pairs", number = "1991-01", institution = "Queen's University, Kingston, Canada", address = "Department of Mathematics, Queen's University, Kingston, K7L 3N6, Canada.", pages = "1--24", year = "1991", bibdate = "Thu Feb 10 16:53:24 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", note = "Published in \cite{Sharp:1994:CIR}.", } @Article{Verner:1991:SRK, author = "J. H. Verner", title = "Some {Runge--Kutta} Formula Pairs", journal = j-SIAM-J-NUMER-ANAL, volume = "28", number = "2", pages = "496--511", month = apr, year = "1991", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65L06", MRnumber = "92d:65129", MRreviewer = "H. Brunner", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "JSTOR database; https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @InProceedings{Verner:1992:CSR, author = "J. H. Verner", editor = "S. O. Fatunla", booktitle = "Computational Ordinary Differential Equations", title = "The Comparison of Some {Runge--Kutta} Formula Pairs using {DETEST}", publisher = pub-UP-IBADAN, address = pub-UP-IBADAN:adr, pages = "271--284", year = "1992", ISBN = "978-2493-21-X", ISBN-13 = "978-978-2493-21-7", bibdate = "Mon Jul 11 13:03:19 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", series = "Proceedings of the third and fourth Conferences on Computational Mathematics", } @TechReport{Verner:1993:CER, author = "J. H. Verner and M. Zennaro", title = "Continuous Explicit {Runge--Kutta} Methods of Order 5", number = "1993-08", institution = "Queen's University, Kingston, Canada", address = "Department of Mathematics, Queen's University, Kingston, K7L 3N6, Canada.", pages = "1--32", year = "1993", bibdate = "Thu Feb 10 16:53:24 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", } @Article{Verner:1993:DIH, author = "J. H. Verner", title = "Differentiable Interpolants for High-Order {Runge--Kutta} Methods", journal = j-SIAM-J-NUMER-ANAL, volume = "30", number = "5", pages = "1446--1466", month = oct, year = "1993", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65L05 (34A50 65L07 65L20)", MRnumber = "94k:65100", MRreviewer = "Masaharu Nakashima", bibdate = "Mon Jan 20 15:27:00 MST 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @TechReport{Verner:1993:SPP, author = "J. H. Verner", title = "Strategies for Pairs, {I}. Pairs of orders 6 and 7", number = "1993-09", institution = "Queen's University, Kingston, Canada", address = "Department of Mathematics, Queen's University, Kingston, K7L 3N6, Canada.", pages = "1--24", year = "1993", bibdate = "Thu Feb 10 16:53:24 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", note = "To appear in Annals of Numerical Mathematics, Vol. 1", } @Article{Sharp:1994:CIR, author = "P. W. Sharp and J. H. Verner", title = "Completely Imbedded {Runge--Kutta} Pairs", journal = j-SIAM-J-NUMER-ANAL, volume = "31", number = "4", pages = "1169--1190", month = aug, year = "1994", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65L06", MRnumber = "95d:65059", MRreviewer = "Alexander Ostermann", bibdate = "Mon Jan 20 15:27:00 MST 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @InProceedings{Verner:1994:CSS, author = "J. H. Verner", editor = "S. O. Fatunla", booktitle = "Scientific Computation", title = "A Classification Scheme for Studying Explicit {Runge--Kutta} Pairs", publisher = pub-ADA-JANE-PRESS, address = pub-ADA-JANE-PRESS:adr, pages = "201--225", year = "1994", ISBN = "978-32323-1-2", ISBN-13 = "978-978-32323-1-0", bibdate = "Mon May 9 18:18:17 MDT 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", series = "Proceedings of the Fifth International Conference on Scientific Computing, Benin City, Nigeria, 1992", } @TechReport{Verner:1994:OEC, author = "J. H. Verner and M. Zennaro", title = "The Orders of Embedded Continuous Explicit {Runge--Kutta} Methods", number = "1994-02", institution = "Queen's University", address = "Department of Mathematics, Queen's University, Kingston, K7L 3N6, Canada.", pages = "1--11", year = "1994", bibdate = "Thu Feb 10 16:53:24 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", } @Article{Verner:1994:SDN, author = "J. H. Verner", title = "Strategies for Deriving New Explicit {Runge--Kutta} Pairs", journal = j-ANN-NUM-MATH, volume = "1", number = "1-4", pages = "225--244", year = "1994", ISSN = "1021-2655", bibdate = "Thu Feb 10 16:53:42 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", fjournal = "Annals of Numerical Mathematics", } @Article{Verner:1995:CER, author = "J. H. Verner and M. Zennaro", title = "Continuous explicit {Runge--Kutta} methods of order $5$", journal = j-MATH-COMPUT, volume = "64", number = "211", pages = "1123--1146", month = jul, year = "1995", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L06 (65Y20)", MRnumber = "95j:65081", MRreviewer = "J. C. Butcher", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Verner:1995:OEC, author = "J. H. Verner and M. Zennaro", title = "The Orders of Embedded Continuous Explicit {Runge--Kutta} Methods", journal = j-BIT-NUM-MATH, volume = "35", number = "3", pages = "406--416", month = sep, year = "1995", CODEN = "BITTEL, NBITAB", ISSN = "0006-3835 (print), 1572-9125 (electronic)", MRclass = "65L06", MRnumber = "98a:65096", MRreviewer = "S. Sallam", bibdate = "Fri Nov 13 07:00:34 MST 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", URL = "http://www.mai.liu.se/BIT/contents/bit35.html", acknowledgement = ack-nhfb, journal-URL = "http://link.springer.com/journal/10543", } @TechReport{Verner:1995:E45, author = "J. H. Verner and P. W. Sharp", title = "Explicit {Runge--Kutta} 4--5 Pairs with interpolants", number = "1995-03", institution = "Queen's University, Kingston, Canada", address = "Department of Mathematics, Queen's University, Kingston, K7L 3N6, Canada.", pages = "1--20", year = "1995", bibdate = "Fri Sept 10 00:00:00 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", } @Article{Verner:1996:HER, author = "J. H. Verner", title = "High-order explicit {Runge--Kutta} pairs with low stage order", journal = j-APPL-NUM-MATH, volume = "22", number = "1", pages = "345--357", month = nov, year = "1996", CODEN = "ANMAEL", ISSN = "0168-9274 (print), 1873-5460 (electronic)", ISSN-L = "0168-9274", bibdate = "Sat Feb 8 10:05:15 MST 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib", fjournal = "Applied Numerical Mathematics: Transactions of IMACS", journal-URL = "http://www.sciencedirect.com/science/journal/01689274", }