Valid HTML 4.0! Valid CSS!
%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "David M. Young",
%%%     version         = "3.35",
%%%     date            = "17 November 2023",
%%%     time            = "10:23:29 MST",
%%%     filename        = "young-david-m.bib",
%%%     address         = "University of Texas at Austin
%%%                        Department of Mathematics
%%%                        Austin, TX
%%%                        USA",
%%%     telephone       = "?n/a?",
%%%     FAX             = "?n/a?",
%%%     checksum        = "30048 5643 25019 250117",
%%%     email           = "young at math.utexas.edu (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "linear algebra",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This is a bibliography of publications of
%%%                        David M. Young, Jr. (October 20,
%%%                        1923--December 21, 2008).  The companion
%%%                        LaTeX file young-david-m.ltx can be used to
%%%                        typeset this bibliography.
%%%
%%%                        At version 3.35, the year coverage looked
%%%                        like this:
%%%
%%%                             1950 (   1)    1972 (   8)    1994 (   4)
%%%                             1951 (   1)    1973 (   4)    1995 (   4)
%%%                             1952 (   2)    1974 (   2)    1996 (   1)
%%%                             1953 (   5)    1975 (   3)    1997 (   1)
%%%                             1954 (   1)    1976 (   3)    1998 (   0)
%%%                             1955 (   1)    1977 (   1)    1999 (   1)
%%%                             1956 (   2)    1978 (   2)    2000 (   1)
%%%                             1957 (   0)    1979 (   7)    2001 (   4)
%%%                             1958 (   1)    1980 (   3)    2002 (   0)
%%%                             1959 (   4)    1981 (   5)    2003 (   2)
%%%                             1960 (   3)    1982 (   4)    2004 (   3)
%%%                             1961 (   3)    1983 (   3)    2005 (   1)
%%%                             1962 (   5)    1984 (  14)    2006 (   0)
%%%                             1963 (   3)    1985 (   5)    2007 (   0)
%%%                             1964 (   2)    1986 (   7)    2008 (   0)
%%%                             1965 (   5)    1987 (   8)    2009 (   0)
%%%                             1966 (   0)    1988 (  10)    2010 (   2)
%%%                             1967 (   0)    1989 (   7)    2011 (   0)
%%%                             1968 (   1)    1990 (   6)    2012 (   0)
%%%                             1969 (   3)    1991 (   1)    2013 (   0)
%%%                             1970 (   3)    1992 (   3)    2014 (   1)
%%%                             1971 (   4)    1993 (   6)
%%%                             19xx (   1)
%%%
%%%                             Article:         61
%%%                             Book:            21
%%%                             InCollection:    18
%%%                             InProceedings:   30
%%%                             PhdThesis:        1
%%%                             Proceedings:     27
%%%                             TechReport:      30
%%%
%%%                             Total entries:  188
%%%
%%%                        Volume 17, number 5, of the Wiley journal
%%%                        ``Numerical Linear Algebra with
%%%                        Applications'' is a special issue in memory
%%%                        of David Young: see entries Axelsson:2010:P
%%%                        and Kincaid:2010:LTD.
%%%
%%%                        This file is available as part of the BibNet
%%%                        Project.  The master copy is available for
%%%                        public access at
%%%
%%%                            https://www.math.utah.edu/pub/bibnet/authors
%%%
%%%                        It is mirrored to
%%%
%%%                            ftp://netlib.bell-labs.com/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.",
%%%  }
%%% ====================================================================
@Preamble{
    "\ifx \undefined \booktitle      \def \booktitle#1{{{\em #1}}} \fi"
}

%%% ====================================================================
%%% Institutional abbreviations:
@String{inst-CC-UTA             = "Computation Center, University of Texas at
                                  Austin"}

@String{inst-CC-UTA:adr         = "Austin, TX, USA"}

@String{inst-CNA-UTA            = "Center for Numerical Analysis, University of
                                  Texas at Austin"}

@String{inst-CNA-UTA:adr        = "Austin, TX, USA"}

%%% ====================================================================
%%% Journal abbreviations:
@String{j-AAICA                 = "Annales de l'Association
                                  Internationale pour le Calcul Analogique"}

@String{j-ADV-MATH              = "Advances in Mathematics"}

@String{j-APPL-NUM-MATH         = "Applied Numerical Mathematics: Transactions of IMACS"}

@String{j-BAMS-NS               = "Bulletin (new series) of the American
                                  Mathematical Society"}

@String{j-BULL-AMS              = "Bulletin of the American Mathematical
                                  Society"}

@String{j-BULL-AMS-N-S          = "Bulletin of the American Mathematical Society
                                  (new series)"}

@String{j-CACM                  = "Communications of the Association for Computing Machinery"}

@String{j-COMM-APPL-NUM-METH    = "Communications in Applied Numerical
                                  Methods"}

@String{j-COMP-APPL-MATH        = "J. Comp. Appl. Math."}

@String{j-COMP-PHYS-COMM        = "Computer Physics Communications"}

@String{j-COMPUT-MATH-APPL      = "Computers and Mathematics and Applications"}

@String{j-CPC                   = "Computer Physics Communications"}

@String{j-ICC-BULL              = "ICC Bull."}

@String{j-IEEE-TRANS-SOFTW-ENG  = "IEEE Transactions on Software Engineering"}

@String{j-INT-J-NUM-METH-ENG    = "International Journal of Numerical Methods
                                  in Engineering"}

@String{j-J-ACM                 = "Journal of the ACM"}

@String{j-J-APPROX-THEORY       = "Journal of Approximation Theory"}

@String{j-J-CLASSIF             = "Journal of Classification"}

@String{j-J-COMPUT-APPL-MATH    = "Journal of Computational and Applied Mathematics"}

@String{j-J-COMPUT-PHYS         = "Journal of Computational Physics"}

@String{j-J-MATH-PHYS-MIT       = "Journal of Mathematics and Physics (MIT)"}

@String{j-J-SIAM                = "Journal of the Society for Industrial and
                                  Applied Mathematics"}

@String{j-J-STAT-COMPUT-SIMUL   = "Journal of Statistical Computation and Simulation"}

@String{j-J-STAT-PLANN-INFERENCE = "Journal of Statistical Planning and
                                  Inference"}

@String{j-LECT-NOTES-MATH       = "Lecture Notes in Mathematics"}

@String{j-LIN-ALG-APP           = "Linear Algebra and Its Applications"}

@String{j-LINEAR-ALGEBRA-APPL   = "Linear Algebra and its Applications"}

@String{j-MATH-COMPUT           = "Math. Comp."}

@String{j-MATH-COMP-SIM         = "Mathematics and Computers in Simulation"}

@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-LIN-ALG-APPL      = "Numerical linear algebra with applications"}

@String{j-NUM-MATH              = "Numer. Math."}

@String{j-NUMER-ALGORITHMS      = "Numerical Algorithms"}

@String{j-PROC-NATL-ACAD-SCI-USA = "Proceedings of the National Academy of
                                  Sciences of the United States of America"}

@String{j-SIAM-J-ALG-DISC-METH  = "SIAM Journal for Discrete and Algebraic
                                  Methods"}

@String{j-SIAM-J-NUMER-ANAL     = "SIAM Journal on Numerical Analysis"}

@String{j-SIAM-REVIEW           = "SIAM Review"}

@String{j-STATISTICS            = "Statistics: a Journal of Theoretical
                                  and Applied Statistics"}

@String{j-THEORY-PROBAB-APPL    = "Theory of Probability and its Applications"}

@String{j-TOMS                  = "ACM Transactions on Mathematical Software"}

@String{j-TRANS-AM-MATH-SOC     = "Transactions of the American Mathematical
                                  Society"}

@String{j-TRANS-AM-NUCL-SOC     = "Transactions of the American Nuclear
                                  Society"}

%%% ====================================================================
%%% Publishers and their addresses:
@String{pub-ACADEMIC            = "Academic Press"}
@String{pub-ACADEMIC:adr        = "New York, NY, USA"}

@String{pub-ACC-LINCEI          = "Accademia dei Lincei"}
@String{pub-ACC-LINCEI:adr      = "Roma, Italy"}

@String{pub-ACM                 = "ACM Press"}
@String{pub-ACM:adr             = "New York, NY 10036, USA"}

@String{pub-AW                  = "Ad{\-d}i{\-s}on-Wes{\-l}ey"}
@String{pub-AW:adr              = "Reading, MA, USA"}

@String{pub-BIRKHAUSER          = "Birkh{\"a}user Verlag"}
@String{pub-BIRKHAUSER:adr      = "Basel, Switzerland"}

@String{pub-CRAY                = "Cray Research, Inc."}
@String{pub-CRAY:adr            = "Minneapolis, MN"}

@String{pub-CSU                 = "Colorado State University"}
@String{pub-CSU:adr             = "Fort Collins, CO"}

@String{pub-DEKKER              = "Marcel Dekker"}
@String{pub-DEKKER:adr          = "New York, NY, USA"}

@String{pub-DOVER               = "Dover"}
@String{pub-DOVER:adr           = "New York, NY, USA"}

@String{pub-ELS                 = "Elsevier Science Publishers"}
@String{pub-ELS:adr             = "Amsterdam, The Netherlands"}

@String{pub-ELS-NH              = "Elsevier Science Publishers
                                  (North-Holland)"}
@String{pub-ELS-NH:adr          = "New York, NY, USA"}

@String{pub-IEEE                = "IEEE"}
@String{pub-IEEE:adr            = "1109 Spring Street, Suite 300, Silver
                                  Spring, MD 20910, USA"}

@String{pub-IMACS               = "IMACS"}
@String{pub-IMACS:adr           = "Department of Computer Science, Rutgers
                                  University, New Brunswick, NJ"}

@String{pub-MCGRAW-HILL         = "Mc{\-}Graw-Hill"}
@String{pub-MCGRAW-HILL:adr     = "New York, NY, USA"}

@String{pub-NASA-SCI-TECH-INFO-RES = "NASA Scientific and Technical
                                  Information Research"}
@String{pub-NASA-SCI-TECH-INFO-RES:adr = "Washington, DC"}

@String{pub-NORTH-HOLLAND       = "North-Hol{\-}land"}
@String{pub-NORTH-HOLLAND:adr   = "Amsterdam, The Netherlands"}

@String{pub-REIDEL              = "D. Reidel"}
@String{pub-REIDEL:adr          = "Dordrecht, Boston, Lancaster, Tokyo"}

@String{pub-SIAM                = "SIAM Press"}
@String{pub-SIAM:adr            = "Philadelphia, PA, USA"}

@String{pub-SOC-PETRO-ENG-AIME  = "Society of Petroleum Engineers of AIME"}
@String{pub-SOC-PETRO-ENG-AIME:adr = "Dallas, TX"}

@String{pub-SV                  = "Springer-Verlag"}
@String{pub-SV:adr              = "Berlin, Germany~/ Heidelberg, Germany~/
                                  London, UK~/ etc."}

@String{pub-SPRINGER            = "Springer-Verlag"}
@String{pub-SPRINGER:adr        = "Berlin, Heidelberg, New York, Tokyo"}

@String{pub-USGPO               = "United States Government Printing
                                  Office"}
@String{pub-USGPO:adr           = "Washington, DC, USA"}

@String{pub-UT-A                = "University of Texas at Austin"}
@String{pub-UT-A:adr            = "Austin, TX, USA"}

@String{pub-VSP                 = "VSP, International Science Publishers"}
@String{pub-VSP:adr             = "Utrecht, The Netherlands"}

@String{pub-WILEY               = "John Wiley and Sons, Ltd."}
@String{pub-WILEY:adr           = "New York, London, Sydney"}

@String{pub-WORLD-SCI           = "World Scientific Publishing Co."}
@String{pub-WORLD-SCI:adr       = "Singapore, Philadelphia, River Edge, NJ"}

%%% ====================================================================
%%% Series abbreviations:
@String{ser-LECT-NOTES-MATH     = "Lecture Notes in Mathematics"}

%%% ====================================================================
%%%          Part 1 (of 2) --- Publications of David Young
%%%
%%% Bibliography entries, sorted by year and then by citation label:
%%%
%%% TO DO: An in-progress work, David M. Young, A. E. McDonald,
%%% H. E. Eidson and B. M. Wilkinson (1971), Matrix eigenvalue methods
%%% for solving polynomial equations, cited on page 21 of
%%% Young:1973:SMN, seems never to have been published.
@PhdThesis{Young:1950:IMS,
  author =       "David M. Young",
  title =        "Iterative methods for solving partial differential
                 equations of elliptic type",
  type =         "{Ph.D.} dissertation",
  school =       "Harvard University",
  address =      "Cambridge, MA, USA",
  year =         "1950",
  bibdate =      "Tue Feb 15 09:45:13 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  advisor =      "Garrett Birkhoff",
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Birkhoff:1951:ECT,
  author =       "G. Birkhoff and D. M. Young and E. H. Zarantonello",
  title =        "Effective conformal transformation of smooth, simply
                 connected domains",
  journal =      j-PROC-NATL-ACAD-SCI-USA,
  volume =       "37",
  number =       "7",
  pages =        "411--414",
  day =          "1",
  month =        jul,
  year =         "1951",
  CODEN =        "PNASA6",
  DOI =          "https://doi.org/10.1073/pnas.37.7.411",
  ISSN =         "0027-8424 (print), 1091-6490 (electronic)",
  ISSN-L =       "0027-8424",
  MRclass =      "65.0X",
  MRnumber =     "43582",
  MRreviewer =   "Charles Saltzer",
  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/y/young-david-m.bib",
  URL =          "www.ncbi.nlm.nih.gov/pmc/articles/PMC1063389",
  ZMnumber =     "0043.12502",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008); Garrett Birkhoff (19 January 1911--22 November
                 1996)",
  fjournal =     "Proceedings of the National Academy of Sciences of the
                 United States of America",
  GB-number =    "70",
  journal-URL =  "http://www.pnas.org/content/by/year",
  ZBmath =       "3066192",
}

@InProceedings{Young:1952:UCM,
  author =       "David M. Young",
  title =        "The use of conformal mapping to determine flows with
                 free streamlines",
  crossref =     "Beckenbach:1952:CAC",
  pages =        "125--136",
  year =         "1952",
  MRclass =      "65.0X",
  MRnumber =     "14,909a",
  bibdate =      "Thu Jan 18 14:04:16 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  reviewer =     "C. Saltzer",
}

@InProceedings{Birkhoff:1953:NMC,
  author =       "G. Birkhoff and D. M. Young and E. H. Zarantonello",
  booktitle =    "Proceedings of {Symposia in Applied Mathematics, Vol.
                 IV, Fluid dynamics}",
  title =        "Numerical methods in conformal mapping",
  publisher =    pub-MCGRAW-HILL,
  address =      pub-MCGRAW-HILL:adr,
  pages =        "117--140",
  year =         "1953",
  MRclass =      "65.0X",
  MRnumber =     "57637",
  MRreviewer =   "Charles Saltzer",
  bibdate =      "Sun Oct 22 09:59:52 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  ZMnumber =     "0053.26402",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008); Garrett Birkhoff (19 January 1911--22 November
                 1996)",
  GB-number =    "71",
  ZBmath =       "3085413",
}

@Article{Juncosa:1953:OCS,
  author =       "M. L. Juncosa and D. M. Young",
  title =        "On the Order of Convergence of Solutions of a
                 Difference Equation to a Solution of the Diffusion
                 Equation",
  journal =      j-J-SIAM,
  volume =       "1",
  number =       "2",
  pages =        "111--135",
  month =        dec,
  year =         "1953",
  CODEN =        "JSIMAV",
  ISSN =         "0368-4245 (print), 1095-712X (electronic)",
  bibdate =      "Thu Oct 15 18:16:06 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR
                 database",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Journal of the Society for Industrial and Applied
                 Mathematics",
  journal-URL =  "http://epubs.siam.org/loi/smjmap.1",
}

@Article{Young:1953:BRW,
  author =       "David M. Young",
  title =        "Book Review: {W. E. Milne, {\em Numerical solution of
                 differential equations}. New York, Wiley, 1953. 11 +
                 275 pp. \$6.50}",
  journal =      j-BULL-AMS,
  volume =       "59",
  number =       "6",
  pages =        "577--579",
  month =        "????",
  year =         "1953",
  CODEN =        "BAMOAD",
  ISSN =         "0002-9904 (print), 1936-881X (electronic)",
  ISSN-L =       "0002-9904",
  bibdate =      "Wed Jun 08 11:59:20 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  URL =          "http://projecteuclid.org/euclid.bams/1183518287",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Bulletin of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/bull/all_issues.html",
}

@TechReport{Young:1953:URM,
  author =       "David M. Young and C. H. Warlick",
  title =        "On the use of {Richardson}'s method for the numerical
                 solution of {Laplace}'s equation on the {ORDVAC}",
  type =         "Memorandum Report",
  number =       "709",
  institution =  "Ballistic Research Laboratories",
  address =      "Aberdeen Proving Ground, MD, USA",
  pages =        "??",
  year =         "1953",
  bibdate =      "Sat Nov 04 08:40:29 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Young:1953:RMS,
  author =       "David Young",
  title =        "On {Richardson}'s Method for Solving Linear Systems
                 with Positive Definite Matrices",
  journal =      j-J-MATH-PHYS-MIT,
  volume =       "32",
  number =       "1--4",
  pages =        "243--255",
  month =        apr,
  year =         "1953",
  CODEN =        "JMPHA9",
  DOI =          "https://doi.org/10.1002/sapm1953321243",
  ISSN =         "0097-1421",
  ISSN-L =       "0097-1421",
  bibdate =      "Sat Aug 19 13:35:59 MDT 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/jmathphysmit.bib",
  URL =          "https://onlinelibrary.wiley.com/doi/epdf/10.1002/sapm1953321243",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Math. Phys. (MIT)",
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Journal of Mathematics and Physics (MIT)",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9590",
  onlinedate =   "April 1953",
}

@Article{Young:1954:IMS,
  author =       "David Young",
  title =        "Iterative methods for solving partial difference
                 equations of elliptic type",
  journal =      j-TRANS-AM-MATH-SOC,
  volume =       "76",
  pages =        "92--111",
  year =         "1954",
  CODEN =        "TAMTAM",
  DOI =          "https://doi.org/10.2307/1990745",
  ISSN =         "0002-9947 (print), 1088-6850 (electronic)",
  ISSN-L =       "0002-9947",
  MRclass =      "65.0X",
  MRnumber =     "59635",
  MRreviewer =   "M. Hyman",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Transactions of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/tran/",
}

@Article{Young:1955:OSD,
  author =       "David M. Young",
  title =        "{ORDVAC} Solutions of the {Dirichlet} Problem",
  journal =      j-J-ACM,
  volume =       "2",
  number =       "3",
  pages =        "137--161",
  month =        jul,
  year =         "1955",
  CODEN =        "JACOAH",
  ISSN =         "0004-5411 (print), 1557-735X (electronic)",
  ISSN-L =       "0004-5411",
  MRclass =      "65.0X",
  MRnumber =     "17,413c",
  bibdate =      "Fri Nov 04 23:23:13 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Journal of the ACM",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J401",
  reviewer =     "M. A. Hyman",
}

@InProceedings{Young:1956:SLS,
  author =       "David M. Young",
  title =        "On the solution of linear systems by iteration",
  crossref =     "Curtiss:1956:NAP",
  chapter =      "19",
  pages =        "283--298",
  year =         "1956",
  bibdate =      "Tue Jun 19 05:48:46 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@TechReport{Young:1958:EAM,
  author =       "David M. Young",
  title =        "Error Analysis for the Method of False Position",
  type =         "Report",
  number =       "TNN-1",
  institution =  inst-CC-UTA,
  address =      inst-CC-UTA:adr,
  month =        oct,
  year =         "1958",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@TechReport{Young:1959:NSE,
  author =       "David M. Young",
  title =        "The Numerical Solution of Elliptic and Parabolic
                 Partial Differential Equations",
  type =         "Report",
  number =       "TNN-4",
  institution =  inst-CC-UTA,
  address =      inst-CC-UTA:adr,
  month =        apr,
  year =         "1959",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@TechReport{Young:1959:SNS,
  author =       "David M. Young and Louis Ehrlich",
  title =        "Some Numerical Studies of Iterative Methods for
                 Solving Elliptic Difference Equations",
  type =         "Report",
  number =       "TNN-5",
  institution =  inst-CC-UTA,
  address =      inst-CC-UTA:adr,
  month =        apr,
  year =         "1959",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@TechReport{Young:1960:NI,
  author =       "David M. Young",
  title =        "Notes on Interpolation",
  type =         "Report",
  number =       "TNN-3",
  institution =  inst-CC-UTA,
  address =      inst-CC-UTA:adr,
  month =        nov,
  year =         "1960",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@TechReport{Young:1960:NMM,
  author =       "David M. Young and Carl Bailey",
  title =        "Notes on {Muller}'s Method",
  type =         "Report",
  number =       "TNN-2",
  institution =  inst-CC-UTA,
  address =      inst-CC-UTA:adr,
  month =        oct,
  year =         "1960",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@TechReport{Young:1960:NMS,
  author =       "David M. Young",
  title =        "Numerical Methods for Solving Problems in Linear
                 Algebra",
  type =         "Report",
  number =       "TNN-9",
  institution =  inst-CC-UTA,
  address =      inst-CC-UTA:adr,
  month =        may,
  year =         "1960",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Fyfe:1961:NSH,
  author =       "I. M. Fyfe and R. C. Eng and D. M. Young",
  title =        "On the Numerical Solution of the Hydrodynamic
                 Equations",
  journal =      j-SIAM-REVIEW,
  volume =       "3",
  number =       "4",
  pages =        "298--308",
  month =        "????",
  year =         "1961",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1003060",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Thu Mar 27 09:04:46 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/3/4;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "October 1961",
}

@TechReport{Young:1961:ASC,
  author =       "David M. Young",
  title =        "Automonitor Systems for the {Control Data} 1604
                 Computer",
  type =         "Report",
  number =       "TNN-14",
  institution =  inst-CC-UTA,
  address =      inst-CC-UTA:adr,
  month =        aug,
  year =         "1961",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@TechReport{Young:1961:EAP,
  author =       "David M. Young",
  title =        "Exact Analysis of the {Peaceman--Rachford} Method
                 Using a Single Iteration Parameter for Problems
                 Involving the {Helmholtz} Equation in the Rectangle",
  type =         "Report",
  number =       "TNN-12",
  institution =  inst-CC-UTA,
  address =      inst-CC-UTA:adr,
  month =        jun,
  year =         "1961",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Young:1962:BRM,
  author =       "David M. Young",
  title =        "Book Review: {A. M. Ostrowski, {\em Solution of
                 equations and systems of equations}. Academic Press,
                 New York, 1960, 9 + 202 pp}",
  journal =      j-BULL-AMS,
  volume =       "68",
  number =       "4",
  pages =        "306--308",
  year =         "1962",
  CODEN =        "BAMOAD",
  ISSN =         "0002-9904 (print), 1936-881X (electronic)",
  ISSN-L =       "0002-9904",
  bibdate =      "Wed Jun 08 11:57:20 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  URL =          "http://projecteuclid.org/euclid.bams/1183524656",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Bulletin of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/bull/all_issues.html",
}

@InCollection{Young:1962:NSE,
  author =       "David M. {Young, Jr.}",
  title =        "The numerical solution of elliptic and parabolic
                 partial differential equations",
  crossref =     "Todd:1962:SNA",
  chapter =      "11",
  pages =        "380--438",
  year =         "1962",
  bibdate =      "Tue Jun 19 06:12:46 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@TechReport{Young:1962:SCM,
  author =       "David M. Young and Thurman G. Frank",
  title =        "A Survey of Computer Methods for Solving Elliptic and
                 Parabolic Partial Differential Equations",
  type =         "Report",
  number =       "TNN-20",
  institution =  inst-CC-UTA,
  address =      inst-CC-UTA:adr,
  month =        dec,
  year =         "1962",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@TechReport{Young:1963:ADM,
  author =       "David M. Young and Mary Fanett Wheeler",
  title =        "Alternating Direction Methods for Solving Partial
                 Difference Equations",
  type =         "Report",
  number =       "TNN-30",
  institution =  inst-CC-UTA,
  address =      inst-CC-UTA:adr,
  month =        dec,
  year =         "1963",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@TechReport{Young:1963:NSP,
  author =       "David M. Young",
  title =        "On the Numerical Solution of Partial Differential
                 Equations by Finite Difference Methods",
  type =         "Report",
  number =       "TNN-21",
  institution =  inst-CC-UTA,
  address =      inst-CC-UTA:adr,
  month =        jan,
  year =         "1963",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Young:1963:SCM,
  author =       "David M. Young and Thurman G. Frank",
  title =        "A Survey of Computer Methods for Solving Elliptic and
                 Parabolic Partial Differential Equations",
  journal =      j-ICC-BULL,
  volume =       "2",
  number =       "??",
  pages =        "3--61",
  month =        "??",
  year =         "1963",
  CODEN =        "ICCBAF",
  ISSN =         "0536-1222",
  MRclass =      "65.66 (65.68)",
  MRnumber =     "27\#952",
  bibdate =      "Thu Jan 18 14:01:05 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "ICC (International Computation Center) Bulletin
                 (Rome)",
}

@InProceedings{Young:1964:ADM,
  author =       "David M. Young and Mary Fanett Wheeler",
  title =        "Alternating Direction Methods for Solving Partial
                 Difference Equations",
  crossref =     "Ames:1964:NPE",
  pages =        "220--246",
  year =         "1964",
  MRclass =      "65.65",
  MRnumber =     "30\#4395",
  bibdate =      "Thu Jan 18 13:58:43 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  reviewer =     "M. Lees",
}

@Article{Conte:1965:UPC,
  author =       "S. D. Conte and John W. Hamblen and Thomas A. Keenan
                 and William B. Kehl and Silvio O. Navarro and Werner C.
                 Rheinboldt and Earl J. Schweppe and David M. {Young,
                 Jr.} and William F. Atchison",
  title =        "An undergraduate program in computer science ---
                 preliminary recommendations. {A} report from the {ACM
                 Curriculum Committee on Computer Science}",
  journal =      j-CACM,
  volume =       "8",
  number =       "9",
  pages =        "543--552",
  month =        sep,
  year =         "1965",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  MRclass =      "68.00",
  MRnumber =     "31\#4204",
  bibdate =      "Tue May 28 07:24:46 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Communications of the ACM",
  journal-URL =  "https://dl.acm.org/loi/cacm",
}

@TechReport{Young:1965:DRPa,
  author =       "David M. Young and John H. Dauwalder",
  title =        "Discrete Representations of Partial Differential
                 Operators",
  type =         "Report",
  number =       "TNN-46",
  institution =  inst-CC-UTA,
  address =      inst-CC-UTA:adr,
  month =        may,
  year =         "1965",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InProceedings{Young:1965:DRPb,
  author =       "David M. Young and John H. Dauwalder",
  title =        "Discrete Representations of Partial Differential
                 Operators",
  crossref =     "Rall:1965:EDCb",
  pages =        "181--217",
  year =         "1965",
  MRclass =      "65.70",
  MRnumber =     "33\#894",
  bibdate =      "Thu Jan 18 13:53:46 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  reviewer =     "E. Isaacson",
}

@TechReport{Young:1965:UMS,
  author =       "David M. Young and Mary F. Wheeler and James A.
                 Downing",
  title =        "On the Use of the Modified Successive Overrelaxation
                 Method with Several Relaxation Factors",
  type =         "Report",
  number =       "TNN-39",
  institution =  inst-CC-UTA,
  address =      inst-CC-UTA:adr,
  month =        jan,
  year =         "1965",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Atchison:1968:CRA,
  author =       "William F. Atchison and Samuel D. Conte and John W.
                 Hamblen and Thomas E. Hull and Thomas A. Keenan and
                 William B. Kehl and Edward J. McCluskey and Silvio O.
                 Navarro and Werner C. Rheinboldt and Earl J. Schweppe
                 and William Viavant and David M. {Young, Jr.}",
  title =        "{Curriculum 68}: {Recommendations} for academic
                 programs in computer science: a report of the {ACM
                 Curriculum Committee on Computer Science}",
  journal =      j-CACM,
  volume =       "11",
  number =       "3",
  pages =        "151--197",
  month =        mar,
  year =         "1968",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Fri Nov 25 18:20:18 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Communications of the ACM",
  journal-URL =  "https://dl.acm.org/loi/cacm",
}

@TechReport{Young:1969:CPS,
  author =       "David M. Young",
  title =        "Convergence Properties of the Symmetric and
                 Unsymmetric Successive Overrelaxation Methods and
                 Related Methods",
  type =         "Report",
  number =       "TNN-96",
  institution =  inst-CC-UTA,
  address =      inst-CC-UTA:adr,
  month =        sep,
  year =         "1969",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@TechReport{Young:1969:NSO,
  author =       "David M. Young and David R. Kincaid",
  title =        "Norms of the Successive Overrelaxation Methods",
  type =         "Report",
  number =       "TNN-94",
  institution =  inst-CC-UTA,
  address =      inst-CC-UTA:adr,
  month =        sep,
  year =         "1969",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InProceedings{Young:1969:SCN,
  author =       "David M. Young and Alvis E. McDonald",
  title =        "On the surveillance and control of number range and
                 accuracy in numerical computation (with discussion)",
  crossref =     "Morrell:1970:IPP",
  pages =        "145--152",
  year =         "1969",
  MRclass =      "65.80",
  MRnumber =     "40\#8303",
  bibdate =      "Thu Jan 18 13:48:21 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@TechReport{Warlick:1970:PMD,
  author =       "Charles H. Warlick and David M. Young",
  title =        "A Priori Methods for the Determination of the Optimum
                 Relaxation Factor for the Successive Overrelaxation
                 Method",
  type =         "Report",
  number =       "TNN-105",
  institution =  inst-CC-UTA,
  address =      inst-CC-UTA:adr,
  month =        may,
  year =         "1970",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Young:1970:CPS,
  author =       "David M. Young",
  title =        "Convergence Properties of the Symmetric and
                 Unsymmetric Successive Overrelaxation Methods and
                 Related Methods",
  journal =      j-MATH-COMPUT,
  volume =       "24",
  number =       "112",
  pages =        "793--807",
  month =        oct,
  year =         "1970",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 JSTOR database; Theory/Matrix.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  kwds =         "nla, linear system, relaxation, nonsymmetric matrix",
}

@TechReport{Kincaid:1971:NSO,
  author =       "David R. Kincaid and David M. Young",
  title =        "Norms of the Successive Overrelaxation Method",
  type =         "Report",
  number =       "CNA-26",
  institution =  inst-CNA-UTA,
  address =      inst-CNA-UTA:adr,
  month =        jul,
  year =         "1971",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Young:1971:BOR,
  author =       "David M. Young",
  title =        "A bound for the optimum relaxation factor for the
                 successive overrelaxation method",
  journal =      j-NUM-MATH,
  volume =       "16",
  number =       "??",
  pages =        "408--413",
  month =        "??",
  year =         "1970/71",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65N05",
  MRnumber =     "45 6208",
  bibdate =      "Thu Jan 18 13:43:39 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  reviewer =     "N. Gastinel",
}

@Book{Young:1971:ISL,
  author =       "David M. Young",
  title =        "Iterative Solution of Large Linear Systems",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xxiv + 570",
  year =         "1971",
  ISBN =         "0-12-773050-8",
  ISBN-13 =      "978-0-12-773050-9",
  LCCN =         "QA195 .Y681 1971",
  MRclass =      "65F10",
  MRnumber =     "46 4698",
  MRreviewer =   "L. Fox",
  bibdate =      "Wed Dec 15 10:59:14 1993",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib",
  series =       "Computer Science and Applied Mathematics, Editor:
                 Werner Rheinboldt",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  tableofcontents = "Preface / xiii \\
                 Acknowledgments / xvii \\
                 Notation / xix \\
                 List of Fundamental Matrix Properties / xxi \\
                 List of Iterative Methods / xxiii \\
                 Introduction / 1 \\
                 The Model Problem / 2 \\
                 Supplementary Discussion / 6 \\
                 Exercises / 6 \\
                 Matrix Preliminaries / 7 \\
                 Review of Matrix Theory / 7 \\
                 Hermitian Matrices and Positive Definite Matrices / 18
                 \\
                 Vector Norms and Matrix Norms / 25 \\
                 Convergence of Sequences of Vectors and Matrices / 34
                 \\
                 Irreducibility and Weak Diagonal Dominance / 36 \\
                 Property $A$ / 41 \\
                 L-Matrices and Related Matrices / 42 \\
                 Illustrations / 48 \\
                 Supplementary Discussion / 53 \\
                 Exercises / 55 \\
                 Linear Stationary Iterative Methods / 63 \\
                 Introduction / 63 \\
                 Consistency, Reciprocal Consistency, and Complete
                 Consistency / 65 \\
                 Basic Linear Stationary Iterative Methods / 70 \\
                 Generation of Completely Consistent Methods / 75 \\
                 General Convergence Theorems / 77 \\
                 Alternative Convergence Conditions / 80 \\
                 Rates of Convergence / 84 \\
                 The Jordan Condition Number of a $2 \times 2$ Matrix /
                 89 \\
                 Supplementary Discussion / 94 \\
                 Exercises / 95 \\
                 Convergence of the Basic Iterative Methods / 106 \\
                 General Convergence Theorems / 106 \\
                 Irreducible Matrices with Weak Diagonal Dominance / 107
                 \\
                 Positive Definite Matrices / 108 \\
                 The SOR Method with Varying Relaxation Factors / 118
                 \\
                 L-Matrices and Related Matrices / 120 \\
                 Rates of Convergence of the J and GS Methods for the
                 Model Problem / 127 \\
                 Supplementary Discussion / 132 \\
                 Exercises / 133 \\
                 Eigenvalues of the SOR Method for Consistently Ordered
                 Matrices / 140 \\
                 Introduction / 140 \\
                 Block Tri-Diagonal Matrices / 141 \\
                 Consistently Ordered Matrices and Ordering Vectors /
                 144 \\
                 Property $A$ / 148 \\
                 Nonmigratory Permutations / 153 \\
                 Consistently Ordered Matrices Arising from Difference
                 Equations / 157 \\
                 A Computer Program for Testing for Property $A$ and
                 Consistent Ordering / 159 \\
                 Other Developments of the SOR Theory / 162 \\
                 Supplementary Discussion / 163 \\
                 Exercises / 163 \\
                 Determination of the Optimum Relaxation Factor / 169
                 \\
                 Virtual Spectral Radius / 170 \\
                 Analysis of the Case Where All Eigenvalues of B Are
                 Real / 171 \\
                 Rates of Convergence: Comparison with the Gauss--Seidel
                 Method / 188 \\
                 Analysis of the Case Where Some Eigenvalues of B Are
                 Complex / 191 \\
                 Practical Determination of $\omega_b$: General
                 Considerations / 200 \\
                 Iterative Methods of Choosing $\omega_b$ / 209 \\
                 An Upper Bound for $\mu$ / 211 \\
                 A Priori Determination of $\mu$: Exact Methods / 216
                 \\
                 A Priori Determination of $\mu$: Approximate Values /
                 222 \\
                 Numerical Results / 224 \\
                 Supplementary Discussion / 227 \\
                 Exercises / 228 \\
                 Norms of the SOR Method / 233 \\
                 The Jordan Canonical Form of ${\cal L}_\omega$ / 234
                 \\
                 Basic Eigenvalue Relation / 239 \\
                 Determination of $||{\cal L}_\omega||_{D^{1/2}}$ / 245
                 \\
                 Determination of $||{\cal L}^m_{\omega_b}||_{D^{1/2}}$
                 / 248 \\
                 Determination of $||{\cal L}_\omega||_{A^{1/2}}$ / 255
                 \\
                 Determination of $||{\cal L}^m_{\omega_b}||_{A^{1/2}}$
                 / 258 \\
                 Comparison of $||{\cal L}^m_{\omega_b}||_{D^{1/2}}$ and
                 $||{\cal L}^m_{\omega_b}||_{A^{1/2}}$ / 264 \\
                 Supplementary Discussion / 265 \\
                 Exercises / 266 \\
                 The Modified SOR Method: Fixed Parameters / 271 \\
                 Introduction / 271 \\
                 Eigenvalues of ${\cal L}_{\omega, \omega'}$ / 273 \\
                 Convergence and Spectral Radius / 277 \\
                 Determination of $||{\cal L}_{\omega,
                 \omega'}_{D^{1/2}}||$ / 283 \\
                 Determination of $||{\cal L}_{\omega,
                 \omega'}_{A^{1/2}}||$ / 288 \\
                 Supplementary Discussion / 291 \\
                 Exercises / 291 \\
                 Nonstationary Linear Iterative Methods / 295 \\
                 Consistency, Convergence, and Rates of Convergence /
                 295 \\
                 Periodic Nonstationary Methods / 300 \\
                 Chebyshev Polynomials / 301 \\
                 Supplementary Discussion / 304 \\
                 Exercises / 304 \\
                 The Modified SOR Method: Variable Parameters / 306 \\
                 Convergence of the MSOR Method / 307 \\
                 Optimum Choice of Relaxation Factors / 307 \\
                 Alternative Optimum Parameter Sets / 311 \\
                 Norms of the MSOR Method: Sheldon's Method / 315 \\
                 The Modified Sheldon Method / 319 \\
                 Cyclic Chebyshev Semi-Iterative Method / 321 \\
                 Comparison of Norms / 327 \\
                 Supplementary Discussion / 340 \\
                 Exercises / 341 \\
                 Semi-Iterative Methods / 344 \\
                 General Considerations / 345 \\
                 The Case Where G Has Real Eigenvalues / 347 \\
                 J, JOR, and RF Semi-Iterative Methods / 355 \\
                 Richardson's Method / 361 \\
                 Cyclic Chebyshev Semi-Iterative Method / 365 \\
                 GS Semi-Iterative Methods / 367 \\
                 SOR Semi-Iterative Methods / 374 \\
                 MSOR Semi-Iterative Methods / 376 \\
                 Comparison of Norms / 383 \\
                 Supplementary Discussion / 385 \\
                 Exercises / 386 \\
                 Extensions of the SOR Theory: Stieltjes Matrices / 391
                 \\
                 The Need for Some Restrictions on A / 391 \\
                 Stieltjes Matrices / 395 \\
                 Supplementary Discussion / 401 \\
                 Exercises / 401 \\
                 Generalized Consistently Ordered Matrices / 404 \\
                 Introduction / 404 \\
                 ${\rm CO}(q, r)$-Matrices, Property $A_{q,r}$, and
                 Ordering Vectors / 405 \\
                 Determination of the Optimum Relaxation Factor / 413
                 \\
                 Generalized Consistently Ordered Matrices / 418 \\
                 Relation between ${\rm GCO}(q, r)$-Matrices and ${\rm
                 CO}(q, r)$-Matrices / 419 \\
                 Computational Procedures: Canonical Forms / 422 \\
                 Relation to Other Work / 428 \\
                 Supplementary Discussion / 429 \\
                 Exercises / 430 \\
                 Group Iterative Methods / 434 \\
                 Construction of Group Iterative Methods / 435 \\
                 Solution of a Linear System with a Tri-Diagonal Matrix
                 / 441 \\
                 Convergence Analysis / 445 \\
                 Applications / 452 \\
                 Comparison of Point and Group Iterative Methods / 454
                 \\
                 Supplementary Discussion / 456 \\
                 Exercises / 457 \\
                 Symmetric SOR Method and Related Methods / 461 \\
                 Introduction / 461 \\
                 Convergence Analysis / 463 \\
                 Choice of Relaxation Factor / 464 \\
                 SSOR Semi-Iterative Methods: The Discrete Dirichlet
                 Problem / 471 \\
                 Group SSOR Methods / 474 \\
                 Unsymmetric SOR Method / 476 \\
                 Symmetric and Unsymmetric MSOR Methods / 478 \\
                 Supplementary Discussion / 480 \\
                 Exercises / 481 \\
                 Second-Degree Methods / 486 \\
                 Supplementary Discussion / 493 \\
                 Exercises / 493 \\
                 Alternating Direction Implicit Methods / 495 \\
                 Introduction: The Peaceman--Rachford Method / 495 \\
                 The Stationary Case: Consistency and Convergence / 498
                 \\
                 The Stationary Case: Choice of Parameters / 503 \\
                 The Commutative Case / 514 \\
                 Optimum Parameters / 518 \\
                 Good Parameters / 525 \\
                 The Helmholtz Equation in a Rectangle / 531 \\
                 Monotonicity / 534 \\
                 Necessary and Sufficient Conditions for the Commutative
                 Case / 535 \\
                 The Noncommutative Case / 545 \\
                 Supplementary Discussion / 547 \\
                 Exercises / 548 \\
                 Selection of Iterative Method / 553 \\
                 Bibliography / 556 \\
                 Index / 565",
}

@TechReport{Young:1971:MSO,
  author =       "David M. Young and David R. Kincaid",
  title =        "The Modified Successive Overrelaxation Method with
                 Fixed Parameters",
  type =         "Report",
  number =       "CNA-33",
  institution =  inst-CNA-UTA,
  address =      inst-CNA-UTA:adr,
  month =        oct,
  year =         "1971",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Kincaid:1972:MSO,
  author =       "David R. Kincaid and David M. Young",
  title =        "The modified successive overrelaxation method with
                 fixed parameters",
  journal =      j-MATH-COMPUT,
  volume =       "26",
  number =       "119",
  pages =        "705--717",
  month =        jul,
  year =         "1972",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  classcodes =   "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Univ. Texas, Austin, TX, USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "convergence of numerical methods; fixed parameters;
                 linear algebra; modified successive overrelaxation
                 method; norms; optimum parameters; spectral radius;
                 virtual; virtual spectral radius",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Young:1972:CLS,
  author =       "David M. Young",
  title =        "On the consistency of linear stationary iterative
                 methods",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "9",
  number =       "1",
  pages =        "89--96",
  month =        mar,
  year =         "1972",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65F10",
  MRnumber =     "47 1266",
  MRreviewer =   "T. A. Porsching",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Young:1972:GPC,
  author =       "David M. Young",
  title =        "Generalizations of property $ {A} $ and consistent
                 ordering",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "9",
  number =       "3",
  pages =        "454--463",
  month =        sep,
  year =         "1972",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65F10",
  MRnumber =     "47 7907",
  MRreviewer =   "R. S. Varga",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@TechReport{Young:1972:LSS,
  author =       "David M. Young and David R. Kincaid",
  title =        "Linear Stationary Second-degree Methods for the
                 Solution of Large Linear Systems",
  type =         "Report",
  number =       "CNA-52",
  institution =  inst-CNA-UTA,
  address =      inst-CNA-UTA:adr,
  month =        oct,
  year =         "1972",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Young:1972:SIM,
  author =       "David M. Young",
  title =        "Second-degree iterative methods for the solution of
                 large linear systems",
  journal =      j-J-APPROX-THEORY,
  volume =       "5",
  number =       "2",
  pages =        "137--148",
  month =        mar,
  year =         "1972",
  CODEN =        "JAXTAZ",
  DOI =          "https://doi.org/10.1016/0021-9045(72)90036-6",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  MRclass =      "65F10",
  MRnumber =     "49 8304",
  bibdate =      "Thu Jan 18 06:47:11 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  note =         "Collection of articles dedicated to J. L. Walsh on his
                 75th birthday, II (Proc. Internat. Conf. Approximation
                 Theory, Related Topics and Appl., Univ. Maryland,
                 College Park, Md., 1970)",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Approx. Theory",
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Journal of Approximation Theory",
  journal-URL =  "https://www.sciencedirect.com/journal/journal-of-approximation-theory",
  reviewer =     "T. A. Porsching",
}

@InProceedings{Young:1972:SLS,
  author =       "David M. Young",
  title =        "On the solution of large systems of linear algebraic
                 equations with sparse, positive definite matrices",
  crossref =     "Rheinboldt:1972:NSS",
  pages =        "101--156",
  year =         "1972",
  MRclass =      "65F10 (65N10)",
  MRnumber =     "53 14883",
  bibdate =      "Wed Jan 17 10:53:54 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  reviewer =     "Iain S. Duff",
}

@Book{Young:1972:SNM,
  author =       "David M. Young and Robert Todd Gregory",
  title =        "A Survey of Numerical Mathematics",
  publisher =    pub-AW,
  address =      pub-AW:adr,
  pages =        "x + 492 (A1--A18 and B1--B14 and I1--I19)",
  year =         "1972",
  ISBN =         "0-201-08773-1, 0-486-65691-8 (Dover paperback)",
  ISBN-13 =      "978-0-201-08773-4, 978-0-486-65691-5 (Dover
                 paperback)",
  LCCN =         "QA297 .Y63 1972",
  MRclass =      "65-02",
  MRnumber =     "53 11954a",
  bibdate =      "Wed Jan 17 10:57:04 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  reviewer =     "D. Greenspan",
  tableofcontents = "1: Numerical Analysis as a Subject Area \\
                 1.1 Introduction \\
                 1.2 Some pitfalls in computation \\
                 1.3 Mathematical and computer aspects of an algorithm
                 \\
                 1.4 Numerical instability of algorithms and
                 ill-conditioned problems \\
                 1.5 Typical problems of interest to the numerical
                 analyst \\
                 1.6 Iterative methods \\
                 2: Elementary Operations with Automatic Digital
                 Computers \\
                 2.1 Introduction \\
                 2.2 Binary arithmetic \\
                 2.3 Conversion from base $D$ to base $B$ representation
                 \\
                 2.4 Representation of integers on a binary computer \\
                 2.5 Floating-point representations \\
                 2.6 Computer-representable numbers \\
                 2.7 Floating-point arithmetic operations \\
                 2.8 Fortran analysis of a floating-point number \\
                 2.9 Calculation of elementary functions \\
                 3: Surveillance of Number Ranges \\
                 3.1 Introduction \\
                 3.2 Allowable number ranges \\
                 3.3 Basic real arithmetic operations \\
                 3.4 The quadratic equation \\
                 3.5 Complex arithmetic operations \\
                 4: Solution of Equations \\
                 4.1 Introduction \\
                 4.2 Attainable accuracy \\
                 4.3 Graphical methods \\
                 4.4 The method of bisection \\
                 4.5 The method of false position \\
                 4.6 The secant method \\
                 4.7 General properties of iterative methods \\
                 4.8 Generation of iterative methods \\
                 4.9 The Newton method \\
                 4.10 Muller's method \\
                 4.11 Orders of convergence of iterative methods \\
                 4.12 Acceleration of the convergence \\
                 4.13 Systems of nonlinear equations \\
                 5: Roots of Polynomial Equations \\
                 5.1 Introduction \\
                 5.2 General properties of polynomials \\
                 5.3 The Newton method and related methods \\
                 5.4 Muller's method and Cauchy's method \\
                 5.5 Location of the roots \\
                 5.6 Root acceptance and refinement \\
                 5.7 Matrix related methods: the modified Bernoulli
                 method \\
                 5.8 Matrix related methods: the IP method \\
                 5.9 Polyalgorithms \\
                 5.10 Other methods \\
                 6: Interpolation and Approximation \\
                 6.1 Introduction \\
                 6.2 Linear interpolation \\
                 6.3 Convergence and accuracy of linear interpolation
                 \\
                 6.4 Lagrangian interpolation \\
                 6.5 Convergence and accuracy of Lagrangian
                 interpolation \\
                 6.6 Interpolation with equal intervals \\
                 6.7 Hermite interpolation \\
                 6.8 Limitations on polynomial interpolation: smooth
                 interpolation \\
                 6.9 Inverse interpolation \\
                 6.10 Approximation by polynomials \\
                 6.11 Least squares approximation by polynomials \\
                 6.12 Rational approximation \\
                 6.13 Trigonometric interpolation and approximation \\
                 6.14 Interpolation in two variables \\
                 7: Numerical Differentiation and Quadrature \\
                 7.1 Introduction \\
                 7.2 The method of undetermined weights \\
                 7.3 Numerical differentiation \\
                 7.4 Numerical quadrature --- equal intervals \\
                 7.5 The Euler--MacLaurin formula \\
                 7.6 Romberg integration \\
                 7.7 Error determination \\
                 7.8 Numerical quadrature --- unequal intervals \\
                 8: Ordinary Differential Equations \\
                 8.1 Introduction \\
                 8.2 Existence and uniqueness \\
                 8.3 Analytic methods \\
                 8.4 Integral equation formulation --- the Picard method
                 of successive approximations \\
                 8.5 The Euler method \\
                 8.6 Methods based on numerical quadrature \\
                 8.7 Error estimation for predictor-corrector methods
                 \\
                 8.8 A numerical example \\
                 8.9 Runge--Kutta methods \\
                 8.10 Methods based on numerical differentiation \\
                 8.11 Higher-order equations and systems of first-order
                 equations \\
                 8.12 The use of high-speed computers \\
                 Appendix A \\
                 Appendix B \\
                 Appendix C \\
                 Bibliography \\
                 Index",
}

@InProceedings{Young:1973:SLS,
  author =       "David M. Young",
  title =        "Solution of linear systems of equations",
  crossref =     "Gram:1973:NSP",
  pages =        "35--54",
  year =         "1973",
  MRclass =      "65F10",
  MRnumber =     "58 31780",
  bibdate =      "Wed Jan 17 10:45:45 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  reviewer =     "D. S. Henderson",
}

@Article{Young:1973:SMN,
  author =       "David M. Young",
  title =        "A Survey of Modern Numerical Analysis",
  journal =      j-SIAM-REVIEW,
  volume =       "15",
  number =       "2",
  pages =        "503--523",
  month =        apr,
  year =         "1973",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1015069",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "65-03 (65-02)",
  MRnumber =     "52 15937",
  bibdate =      "Wed Jan 17 10:58:39 1996",
  bibsource =    "http://epubs.siam.org/toc/siread/15/2;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "April 1973",
}

@Book{Young:1973:SNM,
  author =       "David M. Young and Robert Todd Gregory",
  title =        "A Survey of Numerical Mathematics",
  publisher =    pub-AW,
  address =      pub-AW:adr,
  pages =        "493--1099 + xviii + xvi + xviii",
  year =         "1973",
  ISBN =         "0-486-65692-6 (Dover paperback)",
  ISBN-13 =      "978-0-486-65692-2 (Dover paperback)",
  LCCN =         "QA297 .Y63 1973",
  MRclass =      "65-02",
  MRnumber =     "53 11954b",
  bibdate =      "Wed Jan 17 10:56:05 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib",
  ZMnumber =     "0732.65003",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  reviewer =     "D. Greenspan",
  tableofcontents = "9: Ordinary Differential Equations: Stability,
                 Convergence, and Accuracy \\
                 10: Ordinary Differential Equations: Boundary Value and
                 Eigenvalue Problems \\
                 11: Vectors, Matrices, and Norms \\
                 12: The Solution of Systems of Linear Algebraic
                 Equations by Direct Methods \\
                 13: Solving Systems of Linear Algebraic Equations Using
                 Residue Arithmetic \\
                 14: The Algebraic Eigenvalue--Eigenvector Problem \\
                 15: Partial Differential Equations: Elliptic Boundary
                 Value Problems \\
                 16: Iterative Methods for Solving Large Linear Systems
                 \\
                 17: Partial Differential Equations: Initial-Value
                 Problems \\
                 Appendix A \\
                 Bibliography \\
                 Index",
}

@Article{Young:1974:ASM,
  author =       "David M. Young",
  title =        "On the accelerated {SSOR} method for solving elliptic
                 boundary value problems",
  journal =      j-LECT-NOTES-MATH,
  volume =       "363",
  pages =        "176--176",
  year =         "1974",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0069135",
  ISBN =         "3-540-06617-9 (print), 3-540-37914-2 (e-book)",
  ISBN-13 =      "978-3-540-06617-0 (print), 978-3-540-37914-0
                 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  MRclass =      "65N10 (65F10)",
  MRnumber =     "55 9559",
  bibdate =      "Fri May 9 19:07:50 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1970.bib",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0069135",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  book-DOI =     "https://doi.org/10.1007/BFb0069119",
  book-URL =     "http://www.springerlink.com/content/978-3-540-37914-0",
  fjournal =     "Lecture Notes in Mathematics",
  journal-URL =  "http://link.springer.com/bookseries/304",
  reviewer =     "B. Levinger",
  xxpages =      "176, 196--206",
}

@Article{Kincaid:1975:DCP,
  author =       "David R. Kincaid and David M. Young",
  title =        "The Development of a Computer Package for Solving a
                 Class of Partial Differential Equations by Iterative
                 Methods",
  journal =      j-AAICA,
  volume =       "3",
  pages =        "186--191",
  year =         "1975",
  CODEN =        "AAICAE",
  ISSN =         "0020-594X",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Annales de l'Association Internationale pour le Calcul
                 Analogique",
}

@InCollection{Young:1975:ISL,
  author =       "David M. Young",
  title =        "Iterative Solution of Linear and Nonlinear Systems
                 Derived from Elliptic Partial Differential Equations",
  crossref =     "Oden:1975:LNM",
  pages =        "265--296",
  year =         "1975",
  MRclass =      "65N10",
  MRnumber =     "55 4730",
  bibdate =      "Wed Jan 17 10:53:32 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  reviewer =     "I. Aganovic",
}

@Article{Hayes:1976:UAS,
  author =       "L. Hayes and D. M. Young and E. Schleicher",
  title =        "Use of Accelerated {SSOR} Method to Solve Large Linear
                 Systems",
  journal =      j-SIAM-REVIEW,
  volume =       "18",
  number =       "4",
  pages =        "808--808",
  month =        "????",
  year =         "1976",
  CODEN =        "SIREAD",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Fri Jun 21 11:25:02 MDT 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
}

@InCollection{Young:1976:ISL,
  author =       "David M. Young",
  title =        "Iterative Solution of Linear Systems Arising from
                 Finite Element Techniques",
  crossref =     "Whiteman:1976:MFE",
  pages =        "439--464",
  year =         "1976",
  MRclass =      "65F10 (65N30)",
  MRnumber =     "56 9936",
  bibdate =      "Wed Jan 17 10:22:49 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  reviewer =     "Eugene L. Wachspress",
}

@Article{Young:1977:ASM,
  author =       "David M. Young",
  title =        "On the Accelerated {SSOR} Method for Solving Large
                 Linear Systems",
  journal =      j-ADV-MATH,
  volume =       "23",
  number =       "3",
  pages =        "215--271",
  year =         "1977",
  CODEN =        "ADMTA4",
  ISSN =         "0001-8708 (print), 1090-2082 (electronic)",
  ISSN-L =       "0001-8708",
  MRclass =      "65F10",
  MRnumber =     "55 6812",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Advances in Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00018708",
  reviewer =     "E. G. Djakonov",
}

@TechReport{Grimes:1978:IRA,
  author =       "Roger G. Grimes and David R. Kincaid and William I.
                 MacGregor and David M. Young",
  title =        "{ITPACK} Report: Adaptive Iterative Algorithms Using
                 Symmetric Sparse Storage",
  type =         "Report",
  number =       "CNA-139",
  institution =  inst-CNA-UTA,
  address =      inst-CNA-UTA:adr,
  month =        aug,
  year =         "1978",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@TechReport{Grimes:1978:IUG,
  author =       "Roger G. Grimes and David R. Kincaid and David M.
                 Young",
  title =        "{ITPACK} 2.0 User's Guide",
  type =         "Report",
  number =       "CNA-150",
  institution =  inst-CNA-UTA,
  address =      inst-CNA-UTA:adr,
  month =        aug,
  year =         "1978",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InProceedings{Kincaid:1979:IAI,
  author =       "David R. Kincaid and Roger G. Grimes and William I.
                 MacGregor and David M. Young",
  title =        "{ITPACK}: Adaptive Iterative Algorithms Using
                 Symmetric Sparse Storage",
  crossref =     "xxx:1979:SRS",
  pages =        "151--170",
  year =         "1979",
  bibdate =      "Wed Jan 17 10:25:53 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InCollection{Kincaid:1979:SIM,
  author =       "David R. Kincaid and David M. Young",
  title =        "Survey of Iterative Methods",
  crossref =     "Belzer:1979:ECS",
  volume =       "13",
  pages =        "354--391",
  year =         "1979",
  bibdate =      "Wed Jan 17 10:25:50 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Kincaid:1979:UIMa,
  author =       "David R. Kincaid and Roger G. Grimes and David M.
                 Young",
  title =        "The Use of Iterative Methods for Solving Large Sparse
                 {PDE}-Related Linear Systems",
  journal =      j-MATH-COMP-SIM,
  volume =       "XXI",
  pages =        "368--375",
  year =         "1979",
  CODEN =        "MCSIDR",
  ISSN =         "0378-4754 (print), 1872-7166 (electronic)",
  ISSN-L =       "0378-4754",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Mathematics and Computers in Simulation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03784754",
}

@InProceedings{Kincaid:1979:UIMb,
  author =       "David R. Kincaid and David M. Young and Roger G.
                 Grimes",
  title =        "The Use of Iterative Methods for Solving Large Sparse
                 {PDE}-related Linear Systems",
  crossref =     "Vichnevetsky:1979:ACM",
  pages =        "29--32",
  year =         "1979",
  bibdate =      "Wed Jan 17 10:25:45 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Hageman:1980:ECI,
  author =       "Louis A. Hageman and Franklin T. Luk and David M.
                 Young",
  title =        "On the Equivalence of Certain Iterative Acceleration
                 Methods",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "17",
  number =       "6",
  pages =        "852--873",
  month =        dec,
  year =         "1980",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65F10",
  MRnumber =     "82c:65018",
  MRreviewer =   "D. S. Henderson",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@TechReport{Kincaid:1980:IFI,
  author =       "David R. Kincaid and Roger G. Grimes and David M.
                 Young",
  title =        "{ITPACK 2A}: {A Fortran} Implementation of Adaptive
                 Accelerated Iterative Methods for Solving Large Sparse
                 Linear Systems",
  type =         "Report",
  number =       "CNA-164",
  institution =  inst-CNA-UTA,
  address =      inst-CNA-UTA:adr,
  month =        oct,
  year =         "1980",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Young:1980:GCG,
  author =       "David M. Young and Kang C. Jea",
  title =        "Generalized Conjugate Gradient Acceleration of
                 Nonsymmetrizable Iterative Methods",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "34",
  number =       "??",
  pages =        "159--194",
  month =        dec,
  year =         "1980",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(80)90165-2",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F10",
  MRnumber =     "82c:65020",
  MRreviewer =   "Ph. L. Toint",
  bibdate =      "Wed Nov 30 13:48:36 MST 2011",
  bibsource =    "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
                 /usr/local/src/bib/bibliography/Theory/o_ccd.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0024379580901652",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
  keywords =     "nla, conjugate gradients, iter",
  reviewer =     "Ph. L. Toint",
}

@Book{Hageman:1981:AIM,
  author =       "Louis A. Hageman and David M. Young",
  title =        "Applied Iterative Methods",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xvii + 386",
  year =         "1981",
  ISBN =         "0-12-313340-8",
  ISBN-13 =      "978-0-12-313340-3",
  LCCN =         "QA297.8 .H34 1981",
  MRclass =      "65F10 (65-01 65-02)",
  MRnumber =     "83c:65064",
  MRreviewer =   "Themistocles M. Rassias",
  bibdate =      "Tue Dec 14 22:54:41 1993",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib",
  series =       "Computer Science and Applied Mathematics, Editor:
                 Werner Rheinboldt",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  tableofcontents = "Background on linear algebra and related topics \\
                 Background on basic iterative methods \\
                 Polynomial acceleration \\
                 Chebyshev acceleration \\
                 An adaptive Chebyshev procedure using special norms \\
                 Adaptive Chebyshev acceleration \\
                 Conjugate gradient acceleration \\
                 Special methods for red/black partitionings \\
                 Adaptive procedures for the successive overrelaxation
                 method \\
                 The use of iterative methods in the solution of partial
                 differential equations \\
                 Case studies \\
                 The nonsymmetrizable case \\
                 Chebyshev acceleration subroutine \\
                 CCSI subroutine \\
                 SOR subroutine",
}

@InCollection{Kincaid:1981:AIA,
  author =       "David R. Kincaid and David M. Young",
  title =        "Adapting Iterative Algorithms Developed for Symmetric
                 Systems to Nonsymmetric Systems",
  crossref =     "Schultz:1981:EPS",
  pages =        "353--359",
  year =         "1981",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@TechReport{Kincaid:1981:IFP,
  author =       "David R. Kincaid and Roger G. Grimes and John R.
                 Respess and David M. Young",
  title =        "{ITPACK 2B}: {A Fortran} Package for Solving Large
                 Sparse Linear Systems by Adaptive Accelerated Iterative
                 Methods",
  type =         "Report",
  number =       "CNA-173",
  institution =  inst-CNA-UTA,
  address =      inst-CNA-UTA:adr,
  month =        sep,
  year =         "1981",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  note =         "(Also, Report CCSN--44, Computation Center, University
                 of Texas at Austin.)",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InCollection{Young:1981:IPL,
  author =       "David M. Young and David R. Kincaid",
  title =        "The {ITPACK} Package for Large Sparse Linear Systems",
  crossref =     "Schultz:1981:EPS",
  pages =        "163--185",
  year =         "1981",
  bibdate =      "Wed Jan 17 10:27:27 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Kincaid:1982:AIA,
  author =       "David R. Kincaid and John R. Respess and David M.
                 Young and Roger G. Grimes",
  title =        "{Algorithm 586}: {ITPACK 2C}: {A} {FORTRAN} Package
                 for Solving Large Sparse Linear Systems by Adaptive
                 Accelerated Iterative Methods",
  journal =      j-TOMS,
  volume =       "8",
  number =       "3",
  pages =        "302--322",
  month =        sep,
  year =         "1982",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/356004.356009",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Fri Nov 11 22:30:41 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/fortran2.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "https://dl.acm.org/loi/toms",
}

@InProceedings{Kincaid:1982:AIR,
  author =       "David R. Kincaid and Thomas C. Oppe and David M.
                 Young",
  title =        "Adapting {ITPACK} Routines for Use on a Vector
                 Computer",
  crossref =     "xxx:1982:PSC",
  pages =        "??--??",
  month =        aug,
  year =         "1982",
  bibdate =      "Wed Jan 17 10:28:12 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Kincaid:1982:IFP,
  author =       "David R. Kincaid and John R. Respess and David M.
                 Young and Roger G. Grimes",
  title =        "{ITPACK 2C}: {A Fortran} Package for Solving Large
                 Sparse Linear Systems by Adaptive Accelerated Iterative
                 Methods",
  journal =      j-TOMS,
  volume =       "8",
  number =       "3",
  pages =        "302--322",
  year =         "1982",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  note =         "Algorithm 586",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://portal.acm.org/toc.cfm?idx=J782",
}

@Article{Jea:1983:SGC,
  author =       "Kang C. Jea and David M. Young",
  title =        "On the Simplification of Generalized
                 Conjugate-Gradient Methods for Nonsymmetrizable Linear
                 Systems",
  journal =      j-LIN-ALG-APP,
  volume =       "52/53",
  pages =        "399--417",
  year =         "1983",
  MRclass =      "65F10",
  MRnumber =     "85b:65030",
  bibdate =      "Wed Jan 17 10:42:45 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  reviewer =     "N. N. Abdelmalek",
}

@InCollection{Kincaid:1983:AIA,
  author =       "David R. Kincaid and David M. Young",
  title =        "Adapting Iterative Algorithms for Solving Large Sparse
                 Linear Systems for Efficient Use on the {CDC CYBER}
                 205",
  crossref =     "Gary:1983:CAS",
  pages =        "147--160",
  year =         "1983",
  bibdate =      "Thu Jan 18 19:24:38 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InProceedings{Carey:1984:CFE,
  author =       "Graham F. Carey and David R. Kincaid and Thomas C.
                 Oppe and Kamy Sepehrnoori and David M. Young",
  title =        "Combining Finite Element and Iterative Methods for
                 solving Partial Differential Equations on Advanced
                 Computer Architectures",
  crossref =     "Vichnevetsky:1984:ACM",
  pages =        "375--378",
  year =         "1984",
  bibdate =      "Fri Jan 19 06:27:25 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InProceedings{Kincaid:1984:CFE,
  author =       "David R. Kincaid and Graham F. Carey and Thomas C.
                 Oppe and Kamy Sepehrnoori and David M. Young",
  title =        "Combining Finite Element and Iterative Methods for
                 Solving Partial Differential Equations on Advanced
                 Computer Architectures",
  crossref =     "Vichnevetsky:1984:ACM",
  pages =        "375--378",
  year =         "1984",
  bibdate =      "Fri Jan 19 06:27:19 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InCollection{Kincaid:1984:IPP,
  author =       "David R. Kincaid and David M. Young",
  title =        "The {ITPACK} Project: Past, Present, and Future",
  crossref =     "Birkhoff:1984:EPS",
  pages =        "53--63",
  year =         "1984",
  MRclass =      "65-04 (65F50)",
  MRnumber =     "764 224",
  bibdate =      "Fri Jan 19 06:28:14 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InProceedings{Kincaid:1984:ISP,
  author =       "David R. Kincaid and David M. Young",
  title =        "The {ITPACK} Software Package",
  crossref =     "Engquist:1984:PSM",
  pages =        "193--206",
  year =         "1984",
  bibdate =      "Fri Jan 19 06:30:20 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@TechReport{Kincaid:1984:IUG,
  author =       "David R. Kincaid and Thomas C. Oppe and John R.
                 Respess and David M. Young",
  title =        "{ITPACKV 2C} User's Guide",
  type =         "Report",
  number =       "CNA-191",
  institution =  inst-CNA-UTA,
  address =      inst-CNA-UTA:adr,
  month =        feb,
  year =         "1984",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InProceedings{Kincaid:1984:UIM,
  author =       "David R. Kincaid and David M. Young",
  title =        "On the Use of Iterative Methods with Supercomputers
                 for Solving Partial Differential Equations",
  crossref =     "Lakshmikantham:1984:TTP",
  pages =        "455--466",
  month =        aug,
  year =         "1984",
  MRclass =      "65F10 (65W05)",
  MRnumber =     "817 524",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  department =   "Center for Numerical Analysis",
  report =       "CNA - 196",
  university =   "University of Texas at Austin",
}

@TechReport{Kincaid:1984:VCS,
  author =       "David R. Kincaid and Thomas C. Oppe and David M.
                 Young",
  title =        "Vector Computations for Sparse Linear Systems",
  type =         "Report",
  number =       "CNA-189",
  institution =  inst-CNA-UTA,
  address =      inst-CNA-UTA:adr,
  month =        feb,
  year =         "1984",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InProceedings{Young:1984:ANI,
  author =       "David M. Young and Kang C. Jea and David R. Kincaid",
  title =        "Accelerating nonsymmetrizable iterative methods",
  crossref =     "Birkhoff:1984:EPS",
  pages =        "323--342",
  year =         "1984",
  MRclass =      "65F10",
  MRnumber =     "764 243",
  bibdate =      "Fri Jan 19 06:34:18 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InProceedings{Young:1984:ISP,
  author =       "David M. Young and David R. Kincaid",
  title =        "The {ITPACK} Software Package (With a Discussion)",
  crossref =     "Engquist:1984:PSM",
  pages =        "193--206",
  year =         "1984",
  MRclass =      "65F10 (65-04)",
  MRnumber =     "823 811",
  bibdate =      "Fri Jan 19 06:36:58 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InProceedings{Young:1984:UIM,
  author =       "David M. Young and David R. Kincaid",
  title =        "On the Use of Iterative Methods with Supercomputers
                 for Solving Partial Differential Equations",
  crossref =     "Lakshmikantham:1984:TTP",
  pages =        "455--466",
  year =         "1984",
  MRclass =      "65N22 65F10 35J25",
  bibdate =      "Mon Jul 11 13:45:16 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  ZMnumber =     "Zbl 0592.65071",
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InCollection{Kincaid:1985:ISMa,
  author =       "David R. Kincaid and Thomas C. Oppe and John R.
                 Respess and David M. Young",
  title =        "{ITPACK} Solution Modules",
  crossref =     "Rice:1985:SEP",
  chapter =      "7",
  pages =        "237--258",
  year =         "1985",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  xxnote =       "Check title and page numbers; is this the same as
                 \cite{Kincaid:1985:ISMb}?",
  xxpages =      "121--146",
}

@InProceedings{Young:1985:UIM,
  author =       "David M. Young and David R. Kincaid",
  booktitle =    "Trends in the theory and practice of nonlinear
                 analysis ({Arlington, Tex.}, 1984)",
  title =        "On the use of iterative methods with supercomputers
                 for solving partial differential equations",
  volume =       "110",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "455--466",
  year =         "1985",
  DOI =          "https://doi.org/10.1016/S0304-0208(08)72744-0",
  MRclass =      "65F10 (65W05)",
  MRnumber =     "817524",
  bibdate =      "Wed Sep 22 06:46:52 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  series =       "North-Holland Math. Stud.",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InProceedings{Young:1985:UVC,
  author =       "David M. Young and Linda J. Hayes and Thomas C. Oppe
                 and David R. Kincaid",
  booktitle =    "Proceedings of the Conference Vector and Parallel
                 Processors for Scientific Computation",
  title =        "On the Use of Vector Computers for Solving Sparse
                 Linear Systems",
  crossref =     "xxx:1985:PCV",
  publisher =    pub-ACC-LINCEI,
  address =      pub-ACC-LINCEI:adr,
  pages =        "??--??",
  month =        may,
  year =         "1985",
  bibdate =      "Mon Jul 11 13:45:16 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Joubert:1986:NSC,
  author =       "Wayne D. Joubert and David M. Young",
  title =        "Necessary and Sufficient Conditions for the
                 Simplification of Generalized Conjugate Gradient
                 Algorithms",
  journal =      j-LIN-ALG-APP,
  volume =       "86/87",
  pages =        "449--485",
  year =         "1986",
  MRclass =      "65F10",
  MRnumber =     "88f:65050",
  bibdate =      "Wed Jan 17 10:41:32 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  reviewer =     "A. Barraud",
}

@InCollection{Kincaid:1986:TFD,
  author =       "David R. Kincaid and David M. Young",
  title =        "A Tutorial on Finite Difference Methods and Ordering
                 of Mesh Points",
  crossref =     "Stone:1986:FJC",
  pages =        "556--559",
  year =         "1986",
  bibdate =      "Fri Jan 19 06:45:06 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Kincaid:1986:VCS,
  author =       "David R. Kincaid and Thomas C. Oppe and David M.
                 Young",
  title =        "Vector Computations for Sparse Linear Systems",
  journal =      j-SIAM-J-ALG-DISC-METH,
  volume =       "7",
  number =       "1",
  pages =        "99--112",
  year =         "1986",
  CODEN =        "SJAMDU",
  ISSN =         "0196-5212 (print), 2168-345X (electronic)",
  ISSN-L =       "0196-5212",
  MRclass =      "65F10 (65W05)",
  MRnumber =     "87f:65041",
  bibdate =      "Wed Jan 17 10:42:19 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "SIAM Journal on Algebraic and Discrete Methods",
  journal-URL =  "http://epubs.siam.org/loi/sjamdu",
  reviewer =     "R. P. Tewarson",
}

@Article{Kincaid:1986:VIM,
  author =       "David R. Kincaid and Thomas C. Oppe and David M.
                 Young",
  title =        "Vectorized Iterative Methods for Partial Differential
                 Equations",
  journal =      j-COMM-APPL-NUM-METH,
  volume =       "2",
  number =       "3",
  pages =        "289--296",
  year =         "1986",
  CODEN =        "CANMER",
  ISSN =         "0748-8025 (print), 1555-2047 (electronic)",
  ISSN-L =       "0748-8025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Communications in Applied Numerical Methods",
}

@InProceedings{Young:1986:PCG,
  author =       "David M. Young and Kang C. Jea and Tsun-Zee Mai",
  title =        "Preconditioned conjugate gradient algorithms and
                 software for solving large sparse linear systems",
  crossref =     "Datta:1986:LAS",
  pages =        "260--283",
  year =         "1986",
  MRclass =      "65F10 (65F50)",
  MRnumber =     "90b:65062",
  bibdate =      "Wed Jan 17 10:36:36 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Browne:1987:YHA,
  author =       "M. W. Browne",
  title =        "The {Young--Householder} algorithm and the least
                 squares multidimensional scaling of squared distances",
  journal =      j-J-CLASSIF,
  volume =       "4",
  number =       "2",
  pages =        "175--190",
  year =         "1987",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1007/BF01896985",
  ISSN =         "0176-4268 (print), 1432-1343 (electronic)",
  ISSN-L =       "0176-4268",
  MRclass =      "62H25 (65U05)",
  MRnumber =     "921739",
  bibdate =      "Fri Dec 7 06:57:26 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Classif.",
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Journal of Classification",
  journal-URL =  "https://www.springer.com/journal/357",
}

@Article{Hamner:1987:CSG,
  author =       "C. G. Hamner and D. W. Turner and D. M. Young",
  title =        "Comparisons of several graphical methods for
                 representing multivariate data",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "13",
  number =       "7",
  pages =        "647--655",
  month =        "????",
  year =         "1987",
  CODEN =        "CMAPDK",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Wed Mar 1 19:01:00 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0898122187901271",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
}

@Article{Joubert:1987:NSC,
  author =       "Wayne D. Joubert and David M. Young",
  title =        "Necessary and sufficient conditions for the
                 simplification of generalized conjugate-gradient
                 algorithms",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "88/89",
  number =       "??",
  pages =        "449--485",
  year =         "1987",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F10",
  MRnumber =     "88f:65050",
  MRreviewer =   "A. Barraud",
  bibdate =      "Thu Jan 23 11:18:08 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
}

@Article{Mai:1987:IAS,
  author =       "Tsun-Zee Mai and David M. Young",
  title =        "Iterative Algorithms and Software for the Solution of
                 Large Sparse Linear Systems",
  journal =      j-COMM-APPL-NUM-METH,
  volume =       "4",
  number =       "3",
  pages =        "435--456",
  year =         "1987",
  CODEN =        "CANMER",
  ISSN =         "0748-8025 (print), 1555-2047 (electronic)",
  ISSN-L =       "0748-8025",
  MRclass =      "65F50",
  MRnumber =     "964 569",
  bibdate =      "Thu Jan 18 18:29:15 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Communications in Applied Numerical Methods",
}

@Article{Seaman:1987:PGD,
  author =       "J. W. {Seaman, Jr.} and D. W. Turner and D. M. Young",
  title =        "Polyhedron graphs for displaying multivariate data",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "14",
  number =       "4",
  pages =        "269--277",
  month =        "????",
  year =         "1987",
  CODEN =        "CMAPDK",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Wed Mar 1 19:01:02 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0898122187901350",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
}

@Article{Adams:1988:ASI,
  author =       "Loyce M. Adams and Randall J. LeVeque and David M.
                 Young",
  title =        "Analysis of the {SOR} iteration for the $9$-point
                 {Laplacian}",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "25",
  number =       "5",
  pages =        "1156--1180",
  month =        oct,
  year =         "1988",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65F10 (65N30)",
  MRnumber =     "90b:65050",
  MRreviewer =   "J. W. Neuberger",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Jea:1988:EAC,
  author =       "Kang C. Jea and David M. Young",
  title =        "On the effectiveness of adaptive {Chebyshev}
                 acceleration for solving systems of linear equations",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "24",
  number =       "1--2",
  pages =        "33--54",
  month =        nov,
  year =         "1988",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 12:20:40 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042788903421",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Kincaid:1988:BRI,
  author =       "David R. Kincaid and David M. Young",
  title =        "A brief review of the {ITPACK} project",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "24",
  number =       "1--2",
  pages =        "121--127",
  month =        nov,
  year =         "1988",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 12:20:40 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042788903470",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@TechReport{Kincaid:1988:VPIa,
  author =       "David R. Kincaid and Graham F. Carey and Kamy
                 Sepehrnoori and David M. Young",
  title =        "Vector and Parallel Iterative Solution of Large Sparse
                 Systems for {PDEs}",
  type =         "Report",
  number =       "CNA-222",
  institution =  inst-CNA-UTA,
  address =      inst-CNA-UTA:adr,
  month =        aug,
  year =         "1988",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InProceedings{Kincaid:1988:VPIb,
  author =       "David R. Kincaid and Graham F. Carey and Kamy
                 Sepehrnoori and David M. Young",
  title =        "Vector and Parallel Iterative Solution of Large Sparse
                 Systems for {PDE}'s",
  crossref =     "Cray:1987:SEC",
  pages =        "25--44",
  year =         "1988",
  bibdate =      "Fri Jan 19 06:56:57 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Turner:1988:CBA,
  author =       "D. W. Turner and F. E. Tidmore and D. M. Young",
  title =        "A Calculus Based Approach to the Blood Testing
                 Problem",
  journal =      j-SIAM-REVIEW,
  volume =       "30",
  number =       "1",
  pages =        "119--122",
  month =        mar,
  year =         "1988",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1030005",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "92A07 (62N10)",
  MRnumber =     "89g:92012",
  MRreviewer =   "Ivar Heuch",
  bibdate =      "Sat Mar 29 09:54:22 MDT 2014",
  bibsource =    "Compendex database;
                 http://epubs.siam.org/toc/siread/30/1;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  abstract =     "Elementary calculus techniques are used to develop a
                 solution to a famous two-stage group testing model used
                 in industrial and biomedical group screening
                 applications.",
  acknowledgement = ack-nhfb,
  affiliationaddress = "Waco, TX, USA",
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  classification = "461; 912; 921",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  journalabr =   "SIAM Rev",
  keywords =     "Biological Materials--Blood; Biomedical Engineering;
                 Blood Testing; Calculus; Group Screening; Mathematical
                 Techniques; Personnel--Health; Testing",
  onlinedate =   "March 1988",
}

@InProceedings{Young:1987:HRI,
  author =       "D. M. Young",
  title =        "An historical review of iterative methods",
  crossref =     "Crane:1987:HAC",
  pages =        "117--123",
  year =         "1987",
  DOI =          "https://doi.org/10.1145/41579.41591",
  bibdate =      "Fri Nov 17 10:22:10 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InCollection{Young:1988:SHL,
  author =       "David M. Young",
  title =        "The Search for `High Level' Parallelism for Iterative
                 Sparse Linear System Solvers",
  crossref =     "Carey:1988:PSM",
  chapter =      "7",
  pages =        "??--??",
  year =         "1988",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  xxtitle =      "The Search for `High-Level' Parallelism for the
                 Solution of Large Sparse Linear Systems",
}

@Book{Young:1988:SNMa,
  author =       "David M. Young and Robert Todd Gregory",
  title =        "A Survey of Numerical Mathematics",
  volume =       "I",
  publisher =    pub-DOVER,
  address =      pub-DOVER:adr,
  pages =        "x + 492 + A22 + B16 + I18",
  year =         "1988",
  ISBN =         "0-486-65691-8",
  ISBN-13 =      "978-0-486-65691-5",
  LCCN =         "QA297.Y63 1972",
  MRclass =      "65-02",
  MRnumber =     "92b:65005b",
  bibdate =      "Wed Jan 17 10:30:33 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "Corrected reprint of the 1973 original.",
  URL =          "http://www.zentralblatt-math.org/zmath/en/search/?an=0732.65002",
  ZMnumber =     "0732.65002",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  tableofcontents = "1: Numerical Analysis as a Subject Area \\
                 1.1 Introduction \\
                 1.2 Some pitfalls in computation \\
                 1.3 Mathematical and computer aspects of an algorithm
                 \\
                 1.4 Numerical instability of algorithms and
                 ill-conditioned problems \\
                 1.5 Typical problems of interest to the numerical
                 analyst \\
                 1.6 Iterative methods \\
                 2: Elementary Operations with Automatic Digital
                 Computers \\
                 2.1 Introduction \\
                 2.2 Binary arithmetic \\
                 2.3 Conversion from base $D$ to base $B$ representation
                 \\
                 2.4 Representation of integers on a binary computer \\
                 2.5 Floating-point representations \\
                 2.6 Computer-representable numbers \\
                 2.7 Floating-point arithmetic operations \\
                 2.8 Fortran analysis of a floating-point number \\
                 2.9 Calculation of elementary functions \\
                 3: Surveillance of Number Ranges \\
                 3.1 Introduction \\
                 3.2 Allowable number ranges \\
                 3.3 Basic real arithmetic operations \\
                 3.4 The quadratic equation \\
                 3.5 Complex arithmetic operations \\
                 4: Solution of Equations \\
                 4.1 Introduction \\
                 4.2 Attainable accuracy \\
                 4.3 Graphical methods \\
                 4.4 The method of bisection \\
                 4.5 The method of false position \\
                 4.6 The secant method \\
                 4.7 General properties of iterative methods \\
                 4.8 Generation of iterative methods \\
                 4.9 The Newton method \\
                 4.10 Muller's method \\
                 4.11 Orders of convergence of iterative methods \\
                 4.12 Acceleration of the convergence \\
                 4.13 Systems of nonlinear equations \\
                 5: Roots of Polynomial Equations \\
                 5.1 Introduction \\
                 5.2 General properties of polynomials \\
                 5.3 The Newton method and related methods \\
                 5.4 Muller's method and Cauchy's method \\
                 5.5 Location of the roots \\
                 5.6 Root acceptance and refinement \\
                 5.7 Matrix related methods: the modified Bernoulli
                 method \\
                 5.8 Matrix related methods: the IP method \\
                 5.9 Polyalgorithms \\
                 5.10 Other methods \\
                 6: Interpolation and Approximation \\
                 6.1 Introduction \\
                 6.2 Linear interpolation \\
                 6.3 Convergence and accuracy of linear interpolation
                 \\
                 6.4 Lagrangian interpolation \\
                 6.5 Convergence and accuracy of Lagrangian
                 interpolation \\
                 6.6 Interpolation with equal intervals \\
                 6.7 Hermite interpolation \\
                 6.8 Limitations on polynomial interpolation: smooth
                 interpolation \\
                 6.9 Inverse interpolation \\
                 6.10 Approximation by polynomials \\
                 6.11 Least squares approximation by polynomials \\
                 6.12 Rational approximation \\
                 6.13 Trigonometric interpolation and approximation \\
                 6.14 Interpolation in two variables \\
                 7: Numerical Differentiation and Quadrature \\
                 7.1 Introduction \\
                 7.2 The method of undetermined weights \\
                 7.3 Numerical differentiation \\
                 7.4 Numerical quadrature --- equal intervals \\
                 7.5 The Euler--MacLaurin formula \\
                 7.6 Romberg integration \\
                 7.7 Error determination \\
                 7.8 Numerical quadrature --- unequal intervals \\
                 8: Ordinary Differential Equations \\
                 8.1 Introduction \\
                 8.2 Existence and uniqueness \\
                 8.3 Analytic methods \\
                 8.4 Integral equation formulation --- the Picard method
                 of successive approximations \\
                 8.5 The Euler method \\
                 8.6 Methods based on numerical quadrature \\
                 8.7 Error estimation for predictor-corrector methods
                 \\
                 8.8 A numerical example \\
                 8.9 Runge--Kutta methods \\
                 8.10 Methods based on numerical differentiation \\
                 8.11 Higher-order equations and systems of first-order
                 equations \\
                 8.12 The use of high-speed computers \\
                 Appendix A \\
                 Appendix B \\
                 Appendix C \\
                 Bibliography \\
                 Index",
}

@Book{Young:1988:SNMb,
  author =       "David M. Young and Robert Todd Gregory",
  title =        "A Survey of Numerical Mathematics",
  volume =       "II",
  publisher =    pub-DOVER,
  address =      pub-DOVER:adr,
  pages =        "xii + 607 + A18 + B16 + I18",
  year =         "1988",
  ISBN =         "0-486-65692-6",
  ISBN-13 =      "978-0-486-65692-2",
  LCCN =         "QA297.Y63 1972",
  MRclass =      "65-02",
  MRnumber =     "92b:65005b",
  bibdate =      "Wed Jan 17 10:30:33 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib",
  note =         "Corrected reprint of the 1973 original.",
  URL =          "http://www.zentralblatt-math.org/zmath/en/search/?an=0732.65003",
  ZMnumber =     "0732.65003",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  tableofcontents = "9: Ordinary Differential Equations: Stability,
                 Convergence, and Accuracy \\
                 10: Ordinary Differential Equations: Boundary Value and
                 Eigenvalue Problems \\
                 11: Vectors, Matrices, and Norms \\
                 12: The Solution of Systems of Linear Algebraic
                 Equations by Direct Methods \\
                 13: Solving Systems of Linear Algebraic Equations Using
                 Residue Arithmetic \\
                 14: The Algebraic Eigenvalue--Eigenvector Problem \\
                 15: Partial Differential Equations: Elliptic Boundary
                 Value Problems \\
                 16: Iterative Methods for Solving Large Linear Systems
                 \\
                 17: Partial Differential Equations: Initial-Value
                 Problems \\
                 Appendix A \\
                 Bibliography \\
                 Index",
}

@InProceedings{Duff:1989:FMM,
  author =       "Iain S. Duff",
  editor =       "J. C. Almond and D. M. Young",
  booktitle =    "Proceedings Modern Numerical Algorithms for
                 Supercomputers",
  title =        "Frontal and multifrontal methods",
  publisher =    pub-UT-A,
  address =      pub-UT-A:adr,
  pages =        "445--487",
  year =         "1989",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@TechReport{Kincaid:1989:IUG,
  author =       "David R. Kincaid and Thomas C. Oppe and David M.
                 Young",
  title =        "{ITPACKV 2D} User's Guide",
  type =         "Report",
  number =       "CNA-232",
  institution =  inst-CNA-UTA,
  address =      inst-CNA-UTA:adr,
  month =        may,
  year =         "1989",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Mai:1989:DAP,
  author =       "Tsun-Zee Mai and David M. Young",
  title =        "A Dual Adaptive Procedure for the Automatic
                 Determination of Iteration Parameters for {Chebyshev}
                 Acceleration",
  journal =      j-INT-J-NUM-METH-ENG,
  volume =       "27",
  pages =        "483--499",
  year =         "1989",
  MRclass =      "65F10 (65B99)",
  MRnumber =     "91a:65084",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InProceedings{Vona:1989:PMM,
  author =       "Bi Roubolo Vona and David M. Young",
  title =        "Parallel Multilevel Methods",
  crossref =     "xxx:1989:PUC",
  pages =        "??--??",
  year =         "1989",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Young:1989:HOI,
  author =       "David M. Young",
  title =        "A Historical Overview of Iterative Methods",
  journal =      j-COMP-PHYS-COMM,
  volume =       "53",
  number =       "1--3",
  pages =        "1--17",
  month =        may,
  year =         "1989",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(89)90145-8",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  MRclass =      "65F10 (65-03)",
  MRnumber =     "90e:65047",
  bibdate =      "Mon Feb 13 10:28:26 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.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/compphyscomm1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465589901458",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  reviewer =     "H. R. Schwarz",
}

@Article{Young:1989:NKI,
  author =       "D. M. Young and D. W. Turner and J. W. Seaman",
  title =        "A Note on a {Kolmogorov} Inequality for the Binomial
                 Distribution",
  journal =      j-THEORY-PROBAB-APPL,
  volume =       "33",
  number =       "4",
  pages =        "747--749",
  month =        "????",
  year =         "1989",
  CODEN =        "TPRBAU",
  DOI =          "https://doi.org/10.1137/1133116",
  ISSN =         "0040-585X (print), 1095-7219 (electronic)",
  ISSN-L =       "0040-585X",
  bibdate =      "Tue Apr 1 10:40:15 MDT 2014",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/TVP/33/4;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/theoryprobabappl.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Theory of Probability and its Applications",
  journal-URL =  "http://epubs.siam.org/tvp",
  onlinedate =   "January 1989",
}

@Article{Cornell:1990:CAG,
  author =       "J. E. Cornell and D. M. Young and T. L. Bratcher",
  title =        "{C376}. {An} algorithm for generating covariance
                 matrices with specified departures from sphericity",
  journal =      j-J-STAT-COMPUT-SIMUL,
  volume =       "37",
  number =       "3--4",
  pages =        "240--243",
  year =         "1990",
  CODEN =        "JSCSAJ",
  DOI =          "https://doi.org/10.1080/00949659008811310",
  ISSN =         "0094-9655 (print), 1026-7778 (electronic), 1563-5163",
  ISSN-L =       "0094-9655",
  bibdate =      "Tue Apr 22 09:11:26 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/jstatcomputsimul.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Journal of Statistical Computation and Simulation",
  journal-URL =  "http://www.tandfonline.com/loi/gscs20",
}

@InCollection{Young:1990:HRI,
  author =       "David M. Young",
  title =        "A Historical Review of Iterative Methods",
  crossref =     "Nash:1990:HSC",
  pages =        "180--194",
  year =         "1990",
  MRclass =      "65-03 (01A60 65F10)",
  MRnumber =     "1 203 108",
  bibdate =      "Fri Jan 19 07:09:17 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@TechReport{Young:1990:LSS,
  author =       "David M. Young and David R. Kincaid",
  title =        "Linear Stationary Second-Degree Methods for Solution
                 of Large Linear Systems",
  type =         "Report",
  number =       "CNA-244",
  institution =  inst-CNA-UTA,
  address =      inst-CNA-UTA:adr,
  month =        jul,
  year =         "1990",
  bibdate =      "Mon Jul 11 13:45:16 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InCollection{Young:1990:SO,
  author =       "David M. Young and Tsun-Zee Mai",
  title =        "The Search for Omega",
  crossref =     "Kincaid:1990:IML",
  pages =        "293--311",
  year =         "1990",
  MRclass =      "65F10",
  MRnumber =     "038 101",
  bibdate =      "Thu Jan 18 18:26:46 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@TechReport{Kincaid:1991:SSD,
  author =       "David R. Kincaid and David M. Young",
  title =        "Stationary Second-Degree Iterative Methods and
                 Recurrences",
  type =         "Report",
  number =       "CNA-250",
  institution =  inst-CNA-UTA,
  address =      inst-CNA-UTA:adr,
  month =        feb,
  year =         "1991",
  bibdate =      "Mon Jul 11 14:10:37 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InCollection{Kincaid:1992:SSD,
  author =       "David R. Kincaid and David M. Young",
  title =        "Stationary second-degree iterative methods and
                 recurrences",
  crossref =     "Beauwens:1992:IML",
  pages =        "27--47",
  year =         "1992",
  MRclass =      "65F10 (65N22 65Q05)",
  MRnumber =     "93d:65038",
  bibdate =      "Wed Jan 17 10:17:37 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  reviewer =     "Zden{\v{e}}k Dost{\'a}l",
}

@Article{Young:1992:URI,
  author =       "David M. Young and Bi {Roubolo Vona}",
  title =        "On the use of rational iterative methods for solving
                 large sparse linear systems",
  journal =      j-APPL-NUM-MATH,
  volume =       "10",
  number =       "3--4",
  pages =        "261--278",
  month =        "??",
  year =         "1992",
  CODEN =        "ANMAEL",
  DOI =          "https://doi.org/10.1016/0168-9274(92)90044-E",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  MRclass =      "65F50 (65F10)",
  MRnumber =     "1 181 698",
  bibdate =      "Thu Jan 18 18:16:16 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  note =         "A Festschrift to honor Professor Garrett Birkhoff on
                 his eightieth birthday.",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Applied Numerical Mathematics: Transactions of IMACS",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274",
}

@InProceedings{Jea:1993:LMS,
  author =       "Kang C. Jea and David M. Young",
  title =        "{Lanczos}-type methods for solving nonsymmetric linear
                 systems",
  crossref =     "Natori:1993:PPS",
  pages =        "14--24",
  year =         "1993",
  MRclass =      "65F10",
  MRnumber =     "95f:65070",
  bibdate =      "Wed Jan 17 10:13:02 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Young:1993:BRS,
  author =       "David M. Young",
  title =        "Book Review: {Scientific computing and differential
                 equations---An introduction to numerical methods}",
  journal =      j-BULL-AMS-N-S,
  volume =       "28",
  number =       "2",
  pages =        "397--398",
  year =         "1993",
  CODEN =        "BAMOAD",
  DOI =          "https://doi.org/10.1090/S0273-0979-1993-00371-9",
  ISSN =         "0273-0979 (print), 1088-9485 (electronic)",
  ISSN-L =       "0273-0979",
  MRclass =      "Contributed Item",
  MRnumber =     "1568042",
  bibdate =      "Tue Feb 15 08:55:32 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "American Mathematical Society. Bulletin. New Series",
  journal-URL =  "http://www.ams.org/journals/bull/all_issues.html",
}

@InCollection{Young:1993:LSS,
  author =       "David M. Young and David R. Kincaid",
  title =        "Linear stationary second-degree methods for the
                 solution of large linear systems",
  crossref =     "Rassias:1993:TPO",
  pages =        "609--629",
  year =         "1993",
  MRclass =      "65F10",
  MRnumber =     "95a:65069",
  bibdate =      "Wed Jan 17 10:15:58 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Young:1993:SCD,
  author =       "David M. Young",
  title =        "Scientific computing and differential equations --- An
                 introduction to numerical methods by {Gene H. Golub}
                 and {James M. Ortega}",
  journal =      j-BAMS-NS,
  volume =       "28",
  number =       "2",
  pages =        "397--397",
  month =        apr,
  year =         "1993",
  ISSN =         "0273-0979 (print), 1088-9485 (electronic)",
  bibdate =      "Thu Jan 18 19:35:06 MST 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InProceedings{Kincaid:1994:IPP,
  author =       "David R. Kincaid and Linda J. Hayes and David M.
                 Young",
  booktitle =    "Colorado Conference on Iterative Methods",
  title =        "{ITPACK}: Past, Present, and Future",
  volume =       "1",
  publisher =    "University of Colorado \& Front Range Scientific
                 Computations, Inc.",
  address =      "Boulder, CO",
  pages =        "??--??",
  year =         "1994",
  bibdate =      "Fri Oct 23 22:30:41 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InProceedings{Kincaid:1994:ITN,
  author =       "David R. Kincaid and Linda J. Hayes and David M.
                 Young",
  booktitle =    "{IMACS 13th} World Congress on Computational and
                 Applied Mathematics",
  title =        "{ITPACK}: Then and Now",
  publisher =    pub-IMACS,
  address =      pub-IMACS:adr,
  year =         "1994",
  bibdate =      "Fri Oct 23 22:30:41 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  note =         "To appear.",
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@InProceedings{Young:1994:LAB,
  author =       "David M. Young and Jen-Yuan Chen",
  title =        "{LANGMRES} An Alternative to the Biconjugate Gradient
                 Method for Solving Large Sparse Nonsymmetric Linear
                 Systems",
  crossref =     "Brown:1994:PCL",
  pages =        "279--281",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Shaw:1995:ASA,
  author =       "Mary Shaw and Robert DeLine and Daniel V. Klein and
                 Theodore L. Ross and David M. Young and Gregory
                 Zelesnik",
  title =        "Abstractions for software architecture and tools to
                 support them",
  journal =      j-IEEE-TRANS-SOFTW-ENG,
  volume =       "21",
  number =       "4",
  pages =        "314--335",
  month =        apr,
  year =         "1995",
  CODEN =        "IESEDJ",
  DOI =          "https://doi.org/10.1109/32.385970",
  ISSN =         "0098-5589 (print), 1939-3520 (electronic)",
  ISSN-L =       "0098-5589",
  bibdate =      "Thu Feb 1 11:00:42 MST 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/ieeetranssoftweng1990.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=385970",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "IEEE Transactions on Software Engineering",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=32",
}

@Article{Young:1995:PGI,
  author =       "David M. Young and Shengyou Xiao and Karen R. Baker",
  title =        "Periodically generated iterative methods for solving
                 elliptic equations",
  journal =      j-APPL-NUM-MATH,
  volume =       "19",
  number =       "3",
  pages =        "375--387",
  year =         "1995",
  CODEN =        "ANMAEL",
  DOI =          "https://doi.org/10.1016/0168-9274(95)00092-5",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  MRclass =      "65F10 (65N30)",
  MRnumber =     "1374358 (97c:65068)",
  MRreviewer =   "Guo Liang Chen",
  bibdate =      "Tue Feb 15 08:56:10 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  note =         "Special issue on iterative methods for linear
                 equations (Atlanta, GA, 1994)",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Applied Numerical Mathematics. An IMACS Journal",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274",
}

@InProceedings{Young:1995:PIC,
  author =       "David M. Young and David R. Kincaid",
  title =        "Parallel implementation of a class of nonstationary
                 alternating-type methods",
  crossref =     "Bainov:1995:PTI",
  pages =        "219--222",
  year =         "1995",
  MRclass =      "65F10 (65Y05)",
  MRnumber =     "1455964",
  bibdate =      "Tue Feb 15 08:56:10 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Young:1996:NCP,
  author =       "David M. Young and David R. Kincaid",
  title =        "A new class of parallel alternating-type iterative
                 methods",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "74",
  number =       "1--2",
  pages =        "331--344",
  year =         "1996",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/0377-0427(96)00030-1",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65F10",
  MRnumber =     "1430380 (97k:65085)",
  bibdate =      "Tue Feb 15 08:56:10 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  note =         "TICAM Symposium (Austin, TX, 1995)",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Young:1997:GBA,
  author =       "David M. Young",
  title =        "{Garrett Birkhoff} and applied mathematics",
  journal =      j-NAMS,
  volume =       "44",
  number =       "11",
  pages =        "1446--1450",
  year =         "1997",
  CODEN =        "AMNOAN",
  ISSN =         "0002-9920 (print), 1088-9477 (electronic)",
  ISSN-L =       "0002-9920",
  MRclass =      "01A70",
  MRnumber =     "1488573",
  bibdate =      "Tue Feb 15 08:56:10 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Notices of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/notices/",
}

@Article{Chen:1999:GMG,
  author =       "Jen-Yuan Chen and David R. Kincaid and David M.
                 Young",
  title =        "Generalizations and modifications of the {GMRES}
                 iterative method",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "21",
  number =       "1--4",
  pages =        "119--146",
  year =         "1999",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1023/A:1019105328973",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65F10 (65H10)",
  MRnumber =     "1725721 (2000i:65044)",
  MRreviewer =   "Chun-Hua Guo",
  bibdate =      "Tue Feb 15 08:56:10 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  note =         "Numerical methods for partial differential equations
                 (Marrakech, 1998)",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Kincaid:2000:OML,
  author =       "David R. Kincaid and David M. Young and Jen-Yuan
                 Chen",
  title =        "An overview of {MGMRES} and {LAN}/{MGMRES} methods for
                 solving nonsymmetric linear systems",
  journal =      "Taiwanese J. Math.",
  volume =       "4",
  number =       "3",
  pages =        "385--396",
  year =         "2000",
  ISSN =         "1027-5487",
  MRclass =      "65F10 (65F30 65N30)",
  MRnumber =     "1779103",
  bibdate =      "Tue Feb 15 08:56:10 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Taiwanese Journal of Mathematics",
}

@InCollection{Kincaid:2001:GGI,
  author =       "David R. Kincaid and Jen-Yuan Chen and David M.
                 Young",
  title =        "A generalized {GMRES} iterative method",
  crossref =     "Vulkov:2001:NAA",
  volume =       "1988",
  pages =        "475--481",
  year =         "2001",
  DOI =          "https://doi.org/10.1007/3-540-45262-1_55",
  MRclass =      "65F10",
  MRnumber =     "1938441",
  bibdate =      "Tue Feb 15 08:56:10 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  series =       "Lecture Notes in Computer Science",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Navarra:2001:RGC,
  author =       "A. Navarra and P. L. Odell and D. M. Young",
  title =        "A representation of the general common solution to the
                 matrix equations {$ A_1 X B_1 = C_1 $} and {$ A_2 X B_2
                 = C_2 $} with applications",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "41",
  number =       "7--8",
  pages =        "929--935",
  month =        apr,
  year =         "2001",
  CODEN =        "CMAPDK",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Wed Mar 1 21:49:15 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl2000.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0898122100003308",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
}

@Article{Young:2001:IDP,
  author =       "D. M. Young and D. W. Turner",
  title =        "Independence distribution preserving joint covariance
                 structures for the multivariate two-group case",
  journal =      j-STATISTICS,
  volume =       "35",
  number =       "4",
  pages =        "331--347",
  year =         "2001",
  CODEN =        "MOSSD5",
  DOI =          "https://doi.org/10.1080/02331880108802740",
  ISSN =         "0233-1888 (print), 1029-4910 (electronic)",
  ISSN-L =       "0233-1888",
  bibdate =      "Wed Oct 8 11:24:27 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/statistics.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Statistics: a Journal of Theoretical and Applied
                 Statistics",
  journal-URL =  "http://www.tandfonline.com/loi/gsta20",
}

@Article{Kincaid:2003:VGI,
  author =       "David R. Kincaid and David M. Young and Jen-Yuan
                 Chen",
  title =        "Variations of the {GMRES} iterative method",
  journal =      j-APPL-NUM-MATH,
  volume =       "45",
  number =       "1",
  pages =        "3--10",
  year =         "2003",
  CODEN =        "ANMAEL",
  DOI =          "https://doi.org/10.1016/S0168-9274(02)00231-3",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  MRclass =      "65F10",
  MRnumber =     "1975124",
  bibdate =      "Tue Feb 15 08:56:10 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  note =         "5th IMACS Conference on Iterative Methods in
                 Scientific Computing (Heraklion, 2001)",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Applied Numerical Mathematics. An IMACS Journal",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274",
}

@Book{Young:2003:ISL,
  author =       "David M. Young",
  title =        "Iterative solution of large linear systems",
  publisher =    pub-DOVER,
  address =      pub-DOVER:adr,
  pages =        "xxvi + 570",
  year =         "2003",
  ISBN =         "0-486-42548-7",
  ISBN-13 =      "978-0-486-42548-1",
  MRclass =      "65-02 (65F10 65N22)",
  MRnumber =     "2000714",
  bibdate =      "Tue Feb 15 08:56:10 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  note =         "Unabridged republication of the 1971 edition [Academic
                 Press, New York-London, MR 305568]",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Book{Hageman:2004:AIM,
  author =       "Louis A. Hageman and David M. Young",
  title =        "Applied Iterative Methods",
  publisher =    pub-DOVER,
  address =      pub-DOVER:adr,
  pages =        "xx + 386",
  year =         "2004",
  ISBN =         "0-486-43477-X",
  ISBN-13 =      "978-0-486-43477-3",
  MRclass =      "65-02 (65F10)",
  MRnumber =     "2096909 (2005e:65001)",
  bibdate =      "Tue Feb 15 08:56:10 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  note =         "Unabridged republication of the 1981 original",
  abstract =     "This graduate-level text examines the practical use of
                 iterative methods in solving large, sparse systems of
                 linear algebraic equations and in resolving
                 multidimensional boundary-value problems. Topics
                 include polynomial acceleration of basic iterative
                 methods, Chebyshev and conjugate gradient acceleration
                 procedures applicable to partitioning the linear system
                 into a ``red/black'' block form, more.",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Stamey:2005:BAC,
  author =       "J. D. Stamey and J. W. Seaman and D. M. Young",
  title =        "{Bayesian} analysis of complementary {Poisson} rate
                 parameters with data subject to misclassification",
  journal =      j-J-STAT-PLANN-INFERENCE,
  volume =       "134",
  number =       "1",
  pages =        "36--48",
  day =          "1",
  month =        sep,
  year =         "2005",
  CODEN =        "JSPIDN",
  DOI =          "https://doi.org/10.1016/j.jspi.2004.04.004",
  ISSN =         "0378-3758 (print), 1873-1171 (electronic)",
  ISSN-L =       "0378-3758",
  bibdate =      "Sat Jun 29 11:51:58 MDT 2019",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/jstatplanninference2000.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0378375804002058",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Journal of Statistical Planning and Inference",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03783758",
}

@Article{Axelsson:2010:PSI,
  author =       "Owe Axelsson and David R. Kincaid",
  title =        "Preface [Special issue: dedicated to the memory of
                 {David M. Young, Jr.}]",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "17",
  number =       "5",
  pages =        "741--742",
  month =        oct,
  year =         "2010",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/nla.752",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  MRclass =      "65-06",
  MRnumber =     "2722643",
  bibdate =      "Sat Sep 24 18:02:02 2011",
  bibsource =    "http://www.interscience.wiley.com/jpages/1070-5325;
                 http://www3.interscience.wiley.com/journalfinder.html;
                 https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  abstract =     "This special issue is dedicated to the memory of David
                 M. Young, Jr. (October 20, 1923--December 21, 2008),
                 who was an American mathematician and computer
                 scientist affiliated with The University of Texas at
                 Austin for most of his life.",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Numerical linear algebra with applications",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
  onlinedate =   "28 Sep 2010",
}

@Article{Kincaid:2010:LTD,
  author =       "David R. Kincaid and Richard S. Varga and Charles H.
                 Warlick",
  title =        "The life and times of {Dr. David M. Young, Jr.}",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "17",
  number =       "5",
  pages =        "743--757",
  month =        oct,
  year =         "2010",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/nla.690",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  MRclass =      "01A70 (65-03)",
  MRnumber =     "2722644",
  bibdate =      "Sat Sep 24 18:02:02 2011",
  bibsource =    "http://www.interscience.wiley.com/jpages/1070-5325;
                 http://www3.interscience.wiley.com/journalfinder.html;
                 https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  fjournal =     "Numerical linear algebra with applications",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
  onlinedate =   "27 Jan 2010",
}

%%% ====================================================================
%%% Part 2 (of 2) --- Publications about David Young and his works
%%%
%%% Entries are sorted by year, and then by citation label:
@InCollection{Engeli:1959:YO,
  author =       "Max Engeli and Theo. Ginsburg and Heinz Rutishauser
                 and Eduard L. Stiefel",
  title =        "{Young}'s overrelaxation",
  crossref =     "Engeli:1959:RIM",
  chapter =      "IV.1",
  pages =        "??--??",
  year =         "1959",
  bibdate =      "Tue Jun 19 05:59:17 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  subject-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Anonymous:19xx:BRA,
  author =       "Anonymous",
  title =        "Book Review: {{\booktitle{Advances in Computers,
                 Volume 3}}. Franz L. Alt and Morris Rubinoff, eds.
                 Academic Press, New York, 1962. 361 pp.}",
  journal =      j-TRANS-AM-NUCL-SOC,
  volume =       "??",
  number =       "??",
  pages =        "465--465",
  month =        "????",
  year =         "19xx",
  CODEN =        "TANSAO",
  DOI =          "",
  ISSN =         "0003-018X",
  bibdate =      "Sat Nov 04 07:01:54 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  URL =          "https://www.ans.org/pubs/journals/download/article-26563/",
  acknowledgement = ack-nhfb,
  fjournal =     "Transactions of the American Nuclear Society",
  journal-URL =  "https://www.ans.org/pubs/transactions/",
  remark =       "The page images carry no volume, issue, month, year
                 data, and I cannot find an archive of the issues of
                 this journal.",
  remark =       "From the review: ``The book consists of six articles:
                 The Computation of Satellite Orbit Trajectories, by
                 Samuel D. Conte, pp. 2--76. Multiprogramming, by E. F.
                 Codd, pp. 78--153. Recent Developments in Nonlinear
                 Programming, by Philip Wolfe, pp. 156--187. Alternating
                 Direction Implicit Methods, by Garrett Birkhoff,
                 Richard S. Varga, and David Young, pp. 190--273.
                 Combined Analog--Digital Techniques in Simulation, by
                 Harold K. Skramstad, pp. 275--298. Information
                 Technology and the Law, by Reed C. Lawlor, pp.
                 299--346.''",
  subject-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008); Garrett Birkhoff (19 January 1911--22 November
                 1996); Richard S. Varga (8 October 1928--25 February
                 2022)",
}

@InCollection{Kincaid:2004:CFY,
  author =       "David R. Kincaid",
  title =        "Celebrating Fifty Years of {David M. Young}'s
                 Successive Overrelaxation Method",
  crossref =     "Feistauer:2004:NMA",
  pages =        "549--558",
  year =         "2004",
  DOI =          "https://doi.org/10.1007/978-3-642-18775-9_52",
  MRclass =      "65F10",
  MRnumber =     "2121401",
  bibdate =      "Mon Feb 11 11:34:40 2019",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  abstract =     "It has been over fifty years since David M. Young's
                 original work on the successive overrelaxation (SOR)
                 methods. This fundamental method now appears in all
                 textbooks containing an introductory discussion of
                 iterative solution methods. (Most often the SOR method
                 appears after a presentation of Jacobi iteration and
                 Gauss--Seidel iteration and before the conjugate
                 gradient iterative method.) We present a brief survey
                 of some of the research of Professor David M. Young,
                 together with his students and collaborators, on
                 iterative methods for solving large sparse linear
                 algebraic equations. This is not a complete survey but
                 just a sampling of various papers with a focus on some
                 of these publications. Dr. David M. Young's doctoral
                 thesis [27] was accepted in 1950 by his supervising
                 Professor Garrett Birkhoff of Harvard University and
                 his paper [28] based this work appeared in 1954. This
                 is one of the landmark contributions in modern
                 numerical analysis. The red-black ordering for matrices
                 is of great importance in parallel computing. Gene
                 Golub has said: ``It's almost as if David could see
                 into the future!'' David Young celebrated his 80th
                 birthday on October 20, 2003",
  acknowledgement = ack-nhfb,
  subject-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

@Article{Yang:2014:AJI,
  author =       "Xiyang I. A. Yang and Rajat Mittal",
  title =        "Acceleration of the {Jacobi} iterative method by
                 factors exceeding $ 100 $ using scheduled relaxation",
  journal =      j-J-COMPUT-PHYS,
  volume =       "274",
  number =       "??",
  pages =        "695--708",
  day =          "1",
  month =        oct,
  year =         "2014",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/j.jcp.2014.06.010",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sat Aug 16 08:09:38 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys2010.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999114004173",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
  subject-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
}

%%% ====================================================================
%%% Cross-reference entries must come last:
@Proceedings{Beckenbach:1952:CAC,
  editor =       "E. F. Beckenbach",
  booktitle =    "{Construction and applications of conformal maps.
                 Proceedings of a symposium held on June 22--25, 1949,
                 at the Institute for Numerical Analysis of the National
                 Bureau of Standards at the University of California,
                 Los Angeles}",
  title =        "{Construction and applications of conformal maps.
                 Proceedings of a symposium held on June 22--25, 1949,
                 at the Institute for Numerical Analysis of the National
                 Bureau of Standards at the University of California,
                 Los Angeles}",
  volume =       "18",
  publisher =    pub-USGPO,
  address =      pub-USGPO:adr,
  pages =        "vi + 280",
  year =         "1952",
  LCCN =         "QA3 .U5 no.18 Bar",
  bibdate =      "Thu Jan 18 14:04:44 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  series =       "National Bureau of Standards Applied Mathematics
                 Series",
  acknowledgement = ack-nhfb,
  xxISBN =       "none",
}

@Proceedings{Curtiss:1956:NAP,
  editor =       "J. H. Curtiss",
  booktitle =    "{Numerical analysis. [Proceedings of the Sixth
                 Symposium in Applied Mathematics of the American
                 Mathematical Society}",
  title =        "{Numerical analysis. [Proceedings of the Sixth
                 Symposium in Applied Mathematics of the American
                 Mathematical Society}",
  volume =       "6",
  publisher =    pub-MCGRAW-HILL,
  address =      pub-MCGRAW-HILL:adr,
  pages =        "vi + 303",
  year =         "1956",
  LCCN =         "QA297 .S9 1953",
  bibdate =      "Tue Jun 19 05:44:08 MDT 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Proceedings of Symposia in Applied Mathematics",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  meetingname =  "Symposium in Applied Mathematics (6th : 1953 : Santa
                 Monica City College)",
  remark =       "Published for the American Mathematical Society,
                 Providence, RI, USA.",
  subject =      "Numerical calculations; Congresses",
  tableofcontents = "1. Computational problems in the theory of dynamic
                 programming / Bellman \\
                 2. Some methods for solutions of boundary-value
                 problems in linear partial differential equations /
                 Bergman \\
                 J. Computational aspects of certain combinatorial
                 problems / Bruck \\
                 4. Numerical results in the shock configuration in mach
                 re fleet ion / Clutterham and Taub \\
                 5. Some applications of gradient methods / Fischbach
                 \\
                 6. Some qualitative comments on stability in partial
                 differential equations / Frankel \\
                 7. Approximations in numerical analysis / Hastings,
                 Hayward, Wong \\
                 8. The conjugate-gradient method for solving linear
                 systems / Hestenes \\
                 9. Number theory on the SWAC / Lehmer \\
                 10. The assignment problem / Motzkin \\
                 11. The method of steepest descent / Rosenbloom \\
                 12. Function spaces and approximation / Sard \\
                 13. Some computational problems in algebraic number
                 theory / Taussky \\
                 14. Machine attacks on problems whose variables are
                 permutations / Thompkins \\
                 15. Best-approximation polynomials of given degree /
                 Walsh \\
                 16. Recent results in numerical methods of conformal
                 mapping / Warschawskl \\
                 17. On the asymptotic transformation of certain
                 distributions into the normal distribution / Wasow \\
                 18. Error bounds for eigenvalues of symmetric integral
                 equations / Wielandt \\
                 19. On the solution of linear systems by iteration /
                 Young",
}

@Book{Engeli:1959:RIM,
  author =       "Max Engeli and Theo. Ginsburg and Heinz Rutishauser
                 and Eduard L. Stiefel",
  booktitle =    "Refined Iterative Methods for Computation of the
                 Solution and the Eigenvalues of Self-adjoint Boundary
                 Value Problems",
  title =        "Refined Iterative Methods for Computation of the
                 Solution and the Eigenvalues of Self-adjoint Boundary
                 Value Problems",
  volume =       "8",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "107",
  year =         "1959",
  LCCN =         "QA3 .Z8 v.8; QA371",
  bibdate =      "Tue Jun 19 05:53:58 MDT 2018",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  remark =       "Mitteilungen aus dem Institut f{\"u}r angewandte
                 Mathematik an der Eidgen{\"o}ssischen Technischen
                 Hochschule in Z{\"u}rich. no. 8.",
  subject-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  tableofcontents = "I: The Self-Adjoint Boundary Value Problem \\
                 1. Problems of Dirichlet's and Poisson's type \\
                 2. Better approximations \\
                 3. Energy on the boundary \\
                 4. Eigenvalue problems \\
                 5. Biharmonic problems \\
                 6. Adaption for practical purposes; the test example
                 \\
                 7. Modes of oscillation of the plate \\
                 II: Theory of Gradient Methods \\
                 1. Introduction \\
                 2. The residual polynomial \\
                 3. Methods with two-term recursive formulae \\
                 4. Methods with three-term recursive formulae \\
                 5. Combined methods \\
                 6. The CGT-method \\
                 7. Determination of eigenvalues \\
                 III: Experiments on Gradient Methods \\
                 1. Introduction \\
                 2. Survey of the plate experiments \\
                 3. Solution of the system $A x + b = 0$ (Plate problem
                 with coarse grid) \\
                 4. Determination of the eigenvalues of $A$ \\
                 5. Solution of the system $A x + b = 0$ and
                 determination of the eigenvalues of $A$; fine grid \\
                 6. Second test example: the bar problem \\
                 7. Appendix: The first three eigenvectors of $A$ \\
                 IV: Overrelaxation \\
                 1. Theory (general relaxation, overrelaxation,
                 `property $A$', Young's overrelaxation; different
                 methods) \\
                 2. Numerical results (Plate problem) \\
                 3. The bar problem \\
                 V: Conclusions \\
                 1. The plate problem \\
                 2. The bar problem \\
                 3. Computation of eigenvalues \\
                 4. Recollection of the facts \\
                 References",
}

@Book{Beckenbach:1962:MME,
  editor =       "Edwin Ford Beckenbach",
  booktitle =    "Modern Mathematics for the Engineer: Second Series",
  title =        "Modern Mathematics for the Engineer: Second Series",
  publisher =    pub-MCGRAW-HILL,
  address =      pub-MCGRAW-HILL:adr,
  pages =        "xviii + 456",
  year =         "1962",
  LCCN =         "QA401 .B4",
  MRclass =      "00A06 35-01 46-01 60-01 65-01 93-01",
  bibdate =      "Tue Oct 24 17:46:41 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/u/ulam-stanislaw-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  note =         "With an introduction by Magnus R. Hestenes.",
  ZMnumber =     "0094.03003",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008); Magnus Rudolph Hestenes (13 February 1906--31
                 May 1991); Stanis{\l}aw Marcin Ulam (13 April 1909--13
                 May 1984)",
  remark =       "Reprinted in \cite{Beckenbach:2013:MMEb}.",
  tableofcontents = "From Delta functions to distributions / Arthur
                 Erd{\'e}lyi \\
                 Operational methods for separable differential
                 equations / Bernard Friedman \\
                 Integral transforms / John W. Miles \\
                 Semigroup methods in the theory of partial differential
                 equations / Ralph S. Phillips \\
                 Asymptotic formulas and series / J. Barkley Rosser \\
                 Chance processes and fluctuations / William Feller \\
                 Information theory / David Blackwell \\
                 The mathematical theory of control processes / Richard
                 Bellman \\
                 Formulating and solving linear programs / George B.
                 Dantzig \\
                 The mathematical theory of inventory processes / Samuel
                 Karlin \\
                 Monte Carlo calculations in problems of mathematical
                 physics / Stanislaw M. Ulam \\
                 Difference equations and functional equations in
                 transmission-line theory / Raymond Redheffer \\
                 Characteristic-value problems in hydrodynamic and
                 hydromagnetic theory / Subrahmanyan Chandrasekhar \\
                 Applications of the theory of partial differential
                 equations to problems of fluid mechanics / Paul R.
                 Garabedian \\
                 The numerical solution of elliptic and parabolic
                 partial differential equations / David Young \\
                 Circle, sphere, symmetrization, and some classical
                 physical problems / George P{\'o}lya",
  ZBmath =       "3153221",
}

@Book{Todd:1962:SNA,
  editor =       "John Todd",
  booktitle =    "Survey of Numerical Analysis",
  title =        "Survey of Numerical Analysis",
  publisher =    pub-MCGRAW-HILL,
  address =      pub-MCGRAW-HILL:adr,
  pages =        "xvi + 589",
  year =         "1962",
  LCCN =         "QA297 .T63",
  MRclass =      "65.00",
  MRnumber =     "0135221 (24 \#B1271)",
  bibdate =      "Tue Mar 27 17:58:56 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib",
  URL =          "https://babel.hathitrust.org/cgi/pt?id=mdp.39015000983901",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008); Philip J. Davis (2 January 1923--13 March 2018);
                 John Todd (16 May 1911--21 June 2007)",
  tableofcontents = "1: Motivation for working in numerical analysis /
                 John Todd / 1--26 \\
                 2: Classical numerical analysis / John Todd / 27--118
                 \\
                 3: The constructive theory of functions / 119--159 /
                 \\
                 4: Automatic computers / Morris Newman and John Todd /
                 160--207 \\
                 5: Use and limitation of computers / Harvey Cohn /
                 208--221 \\
                 6: Matrix computations / Morris Newman / 222--254 \\
                 7: Numerical methods for finding solutions of nonlinear
                 equations / Urs Hochstrasser / 255-- 78 \\
                 8a: Eigenvalues of finite matrices: Some topics
                 concerning bounds for eigenvalues of finite matrices /
                 Olga Taussky / 279--297 \\
                 8b: Eigenvalues of finite matrices: Hermitian Forms and
                 Eigenvalues / Marvin Marcus / 298---313 \\
                 9: Numerical methods in ordinary differential equations
                 / Henry A. Antosiewicz and Walter Gautschi / 314--346
                 \\
                 10: Orthonormalizing codes in numerical analysis /
                 Philip J. Davis / 347--379 \\
                 11: The numerical solution of elliptic and parabolic
                 partial differential equations / David M. Young, Jr. /
                 380--438 \\
                 12: Numerical methods for integral equations / H.
                 B{\"u}cker / 439--467 \\
                 13: Errors of numerical approximation for analytic
                 functions / Philip J. Davis / 468--484 \\
                 14: Numerical analysis and functional analysis / Henry
                 A. Antosiewicz and Werner C. Rheinboldt / 485--517 /
                 \\
                 15: Discrete problems / Marshall Hall, Jr. / 518--542
                 \\
                 16a: Number Theory: Some Illustrative Computations in
                 Algebraic Number Theory / Harvey Cohn / 543--548 \\
                 16b: Number Theory: Some Computational Problems in
                 Algebraic Number Theory / Olga Taussky / 549--557 \\
                 17: Linear estimation and related topics / Marvin Zelen
                 / 558--584 \\
                 Index / 585--589",
}

@Book{Ames:1964:NPE,
  editor =       "William F. Ames",
  booktitle =    "Nonlinear Problems of Engineering",
  title =        "Nonlinear Problems of Engineering",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xiv + 252",
  year =         "1964",
  LCCN =         "TA331 .A4",
  bibdate =      "Thu Jan 18 13:59:28 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  note =         "Fifteen lectures delivered at a seminar conducted by
                 the Dept. of Mechanical Engineering, University of
                 Delaware, at the university, June 19--21, 1963.",
  acknowledgement = ack-nhfb,
  xxISBN =       "none",
}

@Proceedings{Rall:1965:EDCb,
  editor =       "L. B. Rall",
  booktitle =    "Error in Digital Computation",
  title =        "Error in Digital Computation",
  volume =       "2",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "288",
  year =         "1965",
  MRclass =      "65.80",
  MRnumber =     "MR0189284 (32 \#6711)",
  MRreviewer =   "J. M. Ortega",
  bibdate =      "Tue Aug 15 18:20:34 MDT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.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;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "Proceedings of an advanced seminar conducted by the
                 Mathematics Research Center, United States Army, at the
                 University of Wisconsin, Madison, October 5--7, 1964.",
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  tableofcontents = "1. Experimental investigation of unnormalize1
                 arithmetic / Ashenhurst \\
                 2. Error bounds for computations with continued
                 fractions / Henrici \\
                 3. Error bounds for asymptotic expansions of special
                 functions in the complex plane / Olver \\
                 4. Error analysis for transformations based on the use
                 of matrices of the form $I -2 w w^H$. / Wilkinson \\
                 5. Automatic local coordinate transformations to reduce
                 the growth of error bounds in interval computation of
                 solutions of ordinary differential equations / Moore
                 \\
                 6. Differential inequalities and error bounds /
                 Schroder \\
                 7. Discrete representations of partial differential
                 operators / Young and Dauwalder \\
                 8. Upper and lower bounds for solutions of integral
                 equations / Brown \\
                 9. Convergence ana error bounds for approximate
                 solutions of integral and operator equations / Anselone
                 \\
                 10. Applications of functional analysis to error
                 estimation / Collatz \\
                 11. Error in the solution of linear programming
                 problems / Wolfe",
}

@Proceedings{Morrell:1970:IPP,
  editor =       "A. J. H. Morrell",
  booktitle =    "{Information Processing 68 (Proc. IFIP Congress,
                 Edinburgh, 1968), Vol. 1: Mathematics, Software}",
  title =        "{Information Processing 68 (Proc. IFIP Congress,
                 Edinburgh, 1968), Vol. 1: Mathematics, Software}",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "various",
  year =         "1970",
  ISBN =         "0-7204-2032-6",
  ISBN-13 =      "978-0-7204-2032-6",
  LCCN =         "QA 75.5 I57 1968",
  bibdate =      "Thu Jan 18 13:48:59 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{Rheinboldt:1972:NSS,
  editor =       "Werner C. Rheinboldt",
  booktitle =    "{Numerical solution of systems of nonlinear algebraic
                 equations (NSF-CBMS Regional Conference, University of
                 Pittsburgh, Pittsburgh, PA, July 10--14, 1972)}",
  title =        "{Numerical solution of systems of nonlinear algebraic
                 equations (NSF-CBMS Regional Conference, University of
                 Pittsburgh, Pittsburgh, PA, July 10--14, 1972)}",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "ix + 417",
  year =         "1972",
  ISBN =         "0-12-148950-7",
  ISBN-13 =      "978-0-12-148950-2",
  LCCN =         "QA218 .N22 1972",
  bibdate =      "Wed Jan 17 10:54:28 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{Gram:1973:NSP,
  editor =       "J. G. Gram",
  booktitle =    "{Numerical solution of partial differential equations:
                 Proceedings of the NATO Advanced Study Institute held
                 at Kjeller, Norway, August 20--24, 1973}",
  title =        "{Numerical solution of partial differential equations:
                 Proceedings of the NATO Advanced Study Institute held
                 at Kjeller, Norway, August 20--24, 1973}",
  volume =       "2",
  publisher =    pub-REIDEL,
  address =      pub-REIDEL:adr,
  pages =        "271",
  year =         "1973",
  ISBN =         "90-277-0413-9",
  ISBN-13 =      "978-90-277-0413-9",
  LCCN =         "QA374.N37 1973",
  bibdate =      "Wed Jan 17 10:46:05 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  series =       "NATO advanced study institutes series. Series C:
                 Mathematical and physical sciences",
  acknowledgement = ack-nhfb,
}

@Proceedings{Watson:1974:CNS,
  editor =       "G. A. Watson",
  booktitle =    "{Conference on the Numerical Solution of Differential
                 Equations: Dundee 1973}",
  title =        "{Conference on the Numerical Solution of Differential
                 Equations: Dundee 1973}",
  volume =       "363",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "viii + 221",
  year =         "1974",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0069119",
  ISBN =         "0-387-06617-9, 3-540-06617-9 (print), 3-540-37914-2
                 (e-book)",
  ISBN-13 =      "978-0-387-06617-2, 978-3-540-06617-0 (print),
                 978-3-540-37914-0 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  LCCN =         "QA3.L28 no.363",
  bibdate =      "Tue May 6 14:52:09 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1970.bib",
  series =       ser-LECT-NOTES-MATH,
  URL =          "http://link.springer.com/book/10.1007/BFb0069119;
                 http://www.springerlink.com/content/978-3-540-37914-0",
  acknowledgement = ack-nhfb,
  series-URL =   "http://link.springer.com/bookseries/304",
}

@Book{Oden:1975:LNM,
  editor =       "J. T. Oden",
  booktitle =    "Lecture Notes in Mathematics--Computational
                 Mechanics",
  title =        "Lecture Notes in Mathematics--Computational
                 Mechanics",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "vi + 328",
  year =         "1975",
  ISBN =         "0-387-07169-5",
  ISBN-13 =      "978-0-387-07169-5",
  LCCN =         "QA3 .L35 v.461",
  bibdate =      "Wed Jan 17 10:22:44 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
}

@Book{Whiteman:1976:MFE,
  editor =       "J. R. Whiteman",
  booktitle =    "Mathematics of Finite Elements and Applications {II}",
  title =        "Mathematics of Finite Elements and Applications {II}",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xiii + 573",
  year =         "1976",
  ISBN =         "0-12-747252-5",
  ISBN-13 =      "978-0-12-747252-2",
  LCCN =         "TA347 F5 M37 1975",
  bibdate =      "Wed Jan 17 10:22:50 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
}

@Book{Belzer:1979:ECS,
  editor =       "Jack Belzer and Albert G. Holzman and Allen Kent",
  booktitle =    "Encyclopedia of Computer Sciences and Technology",
  title =        "Encyclopedia of Computer Sciences and Technology",
  publisher =    pub-DEKKER,
  address =      pub-DEKKER:adr,
  pages =        "various",
  year =         "1979",
  ISBN =         "0-8247-2251-5",
  ISBN-13 =      "978-0-8247-2251-7",
  LCCN =         "QA76.15 .E5",
  bibdate =      "Wed Jan 17 10:24:10 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  note =         "32 volumes (1975--1995).",
  acknowledgement = ack-nhfb,
}

@Proceedings{Vichnevetsky:1979:ACM,
  editor =       "R. Vichnevetsky and R. S. Stepleman",
  booktitle =    "{Advances in Computer Methods for Partial Differential
                 Equations III: Proceedings of the third IMACS
                 International Symposium on Computer Methods for Partial
                 Differential Equations held at Lehigh University,
                 Bethlehem, Pennsylvania, USA, June 20--22, 1979}",
  title =        "{Advances in Computer Methods for Partial Differential
                 Equations III: Proceedings of the third IMACS
                 International Symposium on Computer Methods for Partial
                 Differential Equations held at Lehigh University,
                 Bethlehem, Pennsylvania, USA, June 20--22, 1979}",
  volume =       "III",
  publisher =    pub-IMACS,
  address =      pub-IMACS:adr,
  pages =        "vi + 442",
  year =         "1979",
  LCCN =         "????",
  bibdate =      "Wed Jan 17 10:25:46 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  xxISBN =       "none",
}

@Proceedings{xxx:1979:SRS,
  key =          "SRS'79",
  booktitle =    "{Symposium on Reservoir Simulation, Denver, Colorado,
                 January 31, February 1--2, 1979}",
  title =        "{Symposium on Reservoir Simulation, Denver, Colorado,
                 January 31, February 1--2, 1979}",
  volume =       "SPE 7687",
  publisher =    pub-SOC-PETRO-ENG-AIME,
  address =      pub-SOC-PETRO-ENG-AIME:adr,
  pages =        "261",
  year =         "1979",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Wed Jan 17 10:23:00 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
}

@Book{Schultz:1981:EPS,
  editor =       "Martin Schultz",
  booktitle =    "Elliptic Problem Solvers",
  title =        "Elliptic Problem Solvers",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xiii + 444",
  year =         "1981",
  ISBN =         "0-12-632620-7",
  ISBN-13 =      "978-0-12-632620-8",
  LCCN =         "QA377 .E53 1980",
  bibdate =      "Wed Jan 17 10:26:10 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{xxx:1982:PSC,
  key =          "ISVPA'82",
  booktitle =    "{Proceedings, International Symposium on Vector
                 Processing Applications (1982: Colorado State
                 University)}",
  title =        "{Proceedings, International Symposium on Vector
                 Processing Applications (1982: Colorado State
                 University)}",
  publisher =    pub-CSU,
  address =      pub-CSU:adr,
  pages =        "various",
  year =         "1982",
  LCCN =         "????",
  bibdate =      "Wed Jan 17 10:27:35 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  xxISBN =       "none",
}

@Proceedings{Gary:1983:CAS,
  editor =       "J. Patrick Gary",
  booktitle =    "{CYBER 200 Applications Seminar: Proceedings of a
                 seminar sponsored by NASA Goddard Space Flight Center
                 and Control Data Corporation and held in Lanham,
                 Maryland, October 10--12, 1983}",
  title =        "{CYBER 200 Applications Seminar: Proceedings of a
                 seminar sponsored by NASA Goddard Space Flight Center
                 and Control Data Corporation and held in Lanham,
                 Maryland, October 10--12, 1983}",
  volume =       "2295",
  publisher =    pub-NASA-SCI-TECH-INFO-RES,
  address =      pub-NASA-SCI-TECH-INFO-RES:adr,
  pages =        "x + 370",
  year =         "1983",
  LCCN =         "QA76.8.C94 C94 1983",
  bibdate =      "Thu Jan 18 19:11:45 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  series =       "NASA Conference Publication",
  acknowledgement = ack-nhfb,
  xxISBN =       "none",
}

@Proceedings{Birkhoff:1984:EPS,
  editor =       "Garrett Birkhoff and Arthur Schoenstadt",
  booktitle =    "{Elliptic Problem Solvers II (Monterey, Calif.,
                 1983)}",
  title =        "{Elliptic Problem Solvers II (Monterey, Calif.,
                 1983)}",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xiii + 573",
  year =         "1984",
  ISBN =         "0-12-100560-7",
  ISBN-13 =      "978-0-12-100560-3",
  LCCN =         "QA377 .E533 1983",
  bibdate =      "Fri Jan 19 06:34:20 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  note =         "Proceedings of the Elliptic Problem Solvers
                 Conference, sponsored by the Mathematics and Mechanics
                 Branch, Office of Naval Research, held in Monterey,
                 California, January 10--12, 1983",
  acknowledgement = ack-nhfb,
}

@Proceedings{Engquist:1984:PSM,
  editor =       "B. Engquist and T. Smedsass",
  booktitle =    "{PDE Software: Modules, Interfaces and Systems:
                 Proceedings of the IFIP TC 2 Working Conference on PDE
                 Software--Modules, Interfaces, and Systems,
                 S{\"o}derk{\"o}ping, Sweden, 22--26 August, 1983}",
  title =        "{PDE Software: Modules, Interfaces and Systems:
                 Proceedings of the IFIP TC 2 Working Conference on PDE
                 Software--Modules, Interfaces, and Systems,
                 S{\"o}derk{\"o}ping, Sweden, 22--26 August, 1983}",
  publisher =    pub-ELS-NH,
  address =      pub-ELS-NH:adr,
  pages =        "ix + 453",
  year =         "1984",
  ISBN =         "0-444-87620-0",
  ISBN-13 =      "978-0-444-87620-1",
  LCCN =         "QA377 .I44 1983",
  bibdate =      "Fri Jan 19 06:36:14 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{Lakshmikantham:1984:TTP,
  editor =       "V. Lakshmikantham",
  booktitle =    "{Trends in the Theory and Practice of Non-linear
                 Analysis: Proceedings of the VIth International
                 Conference on Trends in the Theory and Practice of
                 Non-Linear Analysis held at the University of Texas at
                 Arlington, June 18--22, 1984}",
  title =        "{Trends in the Theory and Practice of Non-linear
                 Analysis: Proceedings of the VIth International
                 Conference on Trends in the Theory and Practice of
                 Non-Linear Analysis held at the University of Texas at
                 Arlington, June 18--22, 1984}",
  publisher =    pub-ELS-NH,
  address =      pub-ELS-NH:adr,
  pages =        "x + 491",
  year =         "1984",
  ISBN =         "0-444-87704-5",
  ISBN-13 =      "978-0-444-87704-8",
  LCCN =         "QA299.6 .I57 1984",
  bibdate =      "Fri Jan 19 06:31:47 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{Vichnevetsky:1984:ACM,
  editor =       "Robert Vichnevetsky and R. S. Stepleman",
  booktitle =    "{Advances in Computer Methods for Partial Differential
                 Equations V: Proceedings of the fifth IMACS
                 International Symposium on Computer Methods for Partial
                 Differential Equations, held at Lehigh University,
                 Bethlehem, Pennsylvania, USA, June 19--June 21, 1984}",
  title =        "{Advances in Computer Methods for Partial Differential
                 Equations V: Proceedings of the fifth IMACS
                 International Symposium on Computer Methods for Partial
                 Differential Equations, held at Lehigh University,
                 Bethlehem, Pennsylvania, USA, June 19--June 21, 1984}",
  publisher =    pub-IMACS,
  address =      pub-IMACS:adr,
  pages =        "558",
  year =         "1984",
  LCCN =         "QA377 .I2 1984",
  bibdate =      "Fri Jan 19 06:27:21 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  xxISBN =       "none",
}

@Book{Rice:1985:SEP,
  editor =       "John R. Rice and Ronald F. Boisvert",
  booktitle =    "{Solving Elliptic Problems Using ELLPACK}",
  title =        "{Solving Elliptic Problems Using ELLPACK}",
  publisher =    pub-SPRINGER,
  address =      pub-SPRINGER:adr,
  pages =        "x + 497",
  year =         "1985",
  ISBN =         "0-387-90910-9, 3-540-90910-9",
  ISBN-13 =      "978-0-387-90910-3, 978-3-540-90910-1",
  LCCN =         "QA377 .R53 1985",
  bibdate =      "Fri Jan 19 06:39:01 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{xxx:1985:PCV,
  editor =       "????",
  booktitle =    "{Proceedings of the Conference Vector and Parallel
                 Processors for Scientific Computation}",
  title =        "{Proceedings of the Conference Vector and Parallel
                 Processors for Scientific Computation}",
  publisher =    pub-ACC-LINCEI,
  address =      pub-ACC-LINCEI:adr,
  pages =        "????",
  month =        may,
  year =         "1985",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Fri Jan 19 06:53:18 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{Datta:1986:LAS,
  editor =       "Biswa Nath Datta and others",
  booktitle =    "{Linear algebra in signals, systems, and control:
                 Proceedings of the Conference on Linear Algebra in
                 Signals, Systems, and Control, Boston, Massachusetts,
                 August 12--14, 1986}",
  title =        "{Linear algebra in signals, systems, and control:
                 Proceedings of the Conference on Linear Algebra in
                 Signals, Systems, and Control, Boston, Massachusetts,
                 August 12--14, 1986}",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xiii + 667",
  year =         "1986",
  ISBN =         "0-89871-223-8",
  ISBN-13 =      "978-0-89871-223-0",
  LCCN =         "QA184.C66 1986",
  bibdate =      "Wed Jan 17 10:37:24 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{Stone:1986:FJC,
  editor =       "H. S. Stone and S. Winkler",
  booktitle =    "{Fall Joint Computer Conference Proceedings: November
                 2--6, 1986, INFOMART, Dallas, Texas}",
  title =        "{Fall Joint Computer Conference Proceedings: November
                 2--6, 1986, INFOMART, Dallas, Texas}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "xxvi + 1248",
  year =         "1986",
  ISBN =         "0-8186-4743-4 (microfiche), 0-8186-8743-6 (hardcover),
                 0-8186-0743-2 (paperback)",
  ISBN-13 =      "978-0-8186-4743-7 (microfiche), 978-0-8186-8743-3
                 (hardcover), 978-0-8186-0743-1 (paperback)",
  LCCN =         "QA75.5 .F35 1986",
  bibdate =      "Fri Jan 19 06:42:11 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  note =         "IEEE catalog number 86CH2345-7. Computer Society order
                 number 743. ACM order number 401860.",
  acknowledgement = ack-nhfb,
}

@Proceedings{Crane:1987:HAC,
  editor =       "G. E. Crane",
  booktitle =    "{HSNC'87: ACM Conference on the History of Scientific
                 and Numeric Computation, conference proceedings: papers
                 presented at the Conference, Princeton, New Jersey, May
                 13-15, 1987}",
  title =        "{HSNC'87: ACM Conference on the History of Scientific
                 and Numeric Computation, conference proceedings: papers
                 presented at the Conference, Princeton, New Jersey, May
                 13-15, 1987}",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  pages =        "viii + 150",
  month =        oct,
  year =         "1987",
  ISBN =         "0-89791-229-2",
  ISBN-13 =      "978-0-89791-229-7",
  LCCN =         "QA76 .A25 1987",
  bibdate =      "Tue Nov 14 13:59:59 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 http://portal.acm.org/proceedings/hsnc/;
                 https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008); George Elmer Forsythe (8 January 1917--9 April
                 1972); John Todd (16 May 1911--21 June 2007); John W.
                 Tukey (16 June 1915--26 July 2000); Leslie Fox (30
                 September 1918--1 August 1992); Magnus Rudolph Hestenes
                 (13 February 1906--31 May 1991)",
  remark =       "Sponsored by the Allegheny Region of the Association
                 for Computing Machinery in cooperation with ACM SIGNUM
                 and the Society for Industrial and Applied
                 Mathematics.",
  subject =      "Electronic data processing; Congresses; Electronic
                 digital computers; Ordinateurs; Congr{\`e}s; Electronic
                 data processing.; Electronic digital computers.",
  subject-dates = "George Elmer Forsythe (8 January 1917--9 April 1972);
                 James H. Wilkinson (27 September 1919--5 October 1986);
                 John W. Tukey (16 June 1915--26 July 2000)",
  tableofcontents = "H. H. Goldstine / Keynote address --- Remembrance
                 of things past / https://doi.org/10.1145/41579.41580 /
                 1--16 \\
                 L. Fox / Early numerical analysis in the United Kingdom
                 / https://doi.org/10.1145/41579.41581 / 21--39 \\
                 J. Todd / The prehistory and ancient history of
                 computation at the U.S. National Bureau of Standards /
                 https://doi.org/10.1145/41579.41582 / 47--51 \\
                 D. J. Wheeler / Programmed computing at the
                 Universities of Cambridge and Illinois in the early
                 fifties / https://doi.org/10.1145/41579.41583 / 53--58
                 \\
                 The development of methods of using computers for
                 calculations in the early fifties at Cambridge and
                 Illinois Universities. They are the recollections of a
                 participant. \\
                 J. R. Rice / Mathematical software and ACM Publications
                 / https://doi.org/10.1145/41579.41584 / 59--62 \\
                 M. Gutknecht / The pioneer days of scientific computing
                 in Switzerland / https://doi.org/10.1145/41579.41585 /
                 63--69 \\
                 M. R. Hestenes / Conjugacy and gradients in variational
                 theory and analysis /
                 https://doi.org/10.1145/41579.41586 / 71--90 \\
                 C.-E. Fr{\"o}berg / {B I T} --- a child of the computer
                 / https://doi.org/10.1145/41579.41587 / 91--93 \\
                 I. Babuska / Comments on postwar development of
                 computational mathematics in some countries of Eastern
                 Europe / https://doi.org/10.1145/41579.41588 / 95--96
                 \\
                 J. W. Cooley / How the FFT gained acceptance /
                 https://doi.org/10.1145/41579.41589 / 97--100 \\
                 C. W. Gear, R. Skeel / The development of ODE methods:
                 a symbiosis between hardware and numerical analysis /
                 https://doi.org/10.1145/41579.41590 / 105--115 \\
                 D. M. Young / An historical review of iterative methods
                 / https://doi.org/10.1145/41579.41591 / 117--123 \\
                 T. Oden / Some historic comments on finite elements /
                 https://doi.org/10.1145/41579.41592 / 125--130 \\
                 B. N. Parlett / J. H. Wilkinson's work and influence on
                 matrix computations /
                 https://doi.org/10.1145/41579.41593 / 133--138 \\
                 J. Varah / The work of George Forsythe and his students
                 / https://doi.org/10.1145/41579.41594 / 139--150",
}

@Proceedings{Cray:1987:SEC,
  editor =       "{Cray Research, Inc.}",
  booktitle =    "{Science and engineering on Cray supercomputers:
                 Proceedings of the third international symposium,
                 Minneapolis, Minnesota, September 9--11, 1987}",
  title =        "{Science and engineering on Cray supercomputers:
                 Proceedings of the third international symposium,
                 Minneapolis, Minnesota, September 9--11, 1987}",
  publisher =    pub-CRAY,
  address =      pub-CRAY:adr,
  pages =        "643",
  year =         "1987",
  LCCN =         "QA76.5 .I586 1987",
  bibdate =      "Fri Jan 19 06:55:02 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  xxISBN =       "none",
}

@Book{Carey:1988:PSM,
  editor =       "Graham F. Carey",
  booktitle =    "{Parallel Supercomputing: Methods, Algorithms and
                 Applications}",
  title =        "{Parallel Supercomputing: Methods, Algorithms and
                 Applications}",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "x + 287",
  year =         "1988",
  ISBN =         "0-471-92436-9",
  ISBN-13 =      "978-0-471-92436-4",
  LCCN =         "QA76.5 .P314951 1989",
  bibdate =      "Fri Jan 19 06:57:24 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  series =       "Wiley series in parallel computing",
  acknowledgement = ack-nhfb,
}

@Proceedings{xxx:1989:PUC,
  editor =       "????",
  booktitle =    "{Purdue University} Conference Proceedings honoring
                 {Dr. S. D. Conte}",
  title =        "{Purdue University} Conference Proceedings honoring
                 {Dr. S. D. Conte}",
  publisher =    "????",
  address =      "????",
  pages =        "????",
  year =         "1989",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Fri Jan 19 07:02:54 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{Kincaid:1990:IML,
  editor =       "David R. Kincaid and Linda J. Hayes",
  booktitle =    "{Iterative methods for large linear systems (Austin,
                 TX, October 19--21, 1988)}",
  title =        "{Iterative methods for large linear systems (Austin,
                 TX, October 19--21, 1988)}",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xxx + 319",
  year =         "1990",
  ISBN =         "0-12-407475-8",
  ISBN-13 =      "978-0-12-407475-0",
  LCCN =         "QA432 .I84 1990",
  bibdate =      "Fri Jan 19 06:59:41 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  note =         "Papers from a conference held Oct. 19--21, 1988, at
                 the Center for Numerical Analysis of the University of
                 Texas at Austin. Banquet in honour of David M. Young's
                 65th birthday.",
  acknowledgement = ack-nhfb,
  subject-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  tableofcontents = "Front Cover \\
                 Iterative Methods for Large Linear Systems \\
                 Copyright Page \\
                 Preface \\
                 Authors of Chapters \\
                 Papers Presented at Conference \\
                 Professor David M. Young, Jr. \\
                 Photographs from Conference \\
                 Table of Contents \\
                 1. Fourier Analysis of Two-Level Hierarchical Basis
                 Preconditioners \\
                 1 Introduction \\
                 2 1D, Linear S \\
                 3 2D, Bilinear S, Bilinear A \\
                 4 2D, Bilinear, 5-Point A \\
                 5 3D, Trilinear S, 7-Point A \\
                 6 Concluding Remarks \\
                 Acknowledgements \\
                 References \\
                 2. An Algebraic Framework for Hierarchical Basis
                 Functions Multilevel Methods or the Search for
                 `Optimal' Preconditioners \\
                 1 Introduction \\
                 2 The Algebraic Framework for Two-Level Hierarchical
                 Basis Function Methods \\
                 3 Recursive Definition of Preconditioner \\
                 4 The Relative Condition Number of $M$ with Respect to
                 $A$ \\
                 5 Concluding Remarks \\
                 References \\
                 3. ELLPACK and ITPACK as Research Tools for Solving
                 Elliptic Problems \\
                 1 Background \\
                 2 ELLPACK and ITPACK \\
                 3 Some Basic Questions \\
                 4 Direct vs. Iterative Methods \\
                 5 Different Elliptic Problems \\
                 6 Symmetry \\
                 7 Extended Network Analogy \\
                 8 Orders of Accuracy \\
                 9 Choice of Mesh \\
                 10 Computational Complexity \\
                 11 3D Problems \\
                 Acknowledgement \\
                 References \\
                 4. Preconditioned Iterative Methods for Indefinite
                 Symmetric Toeplitz Systems \\
                 1 Introduction \\
                 2 Toeplitz and Circulant Matrices \\
                 3 Solution Methods \\
                 4 Test Matrix Preconditioners \\
                 5 Test Matrices \\
                 6 Computed Spectra \\
                 Acknowledgements \\
                 References \\
                 5.A Local Relaxation Scheme (Ad-Hoc SOR) Applied to
                 Nine Point and Block Difference Equations \\
                 1 History \\
                 2 The Method \\
                 3 Nine Point Application: Cross Derivatives \\
                 4 Block Iteration \\
                 Acknowledgements \\
                 References \\
                 6. Block Iterative Methods for Cyclically Reduced
                 Non-Self-Adjoint Elliptic Problems \\
                 1 Introduction \\
                 2 The Reduced System for the Convection--Diffusion
                 Equation \\
                 3 Bounds for Solving the Convection--Diffusion Equation
                 \\
                 4 Numerical Experiments [??] \\
                 Acknowledgements \\
                 References \\
                 7. Toward an Effective Two-Parameter SOR Method \\
                 1 Background \\
                 2 Singular Value Decomposition and Orthogonal
                 Similarities \\
                 3 Two-Parameter SOR \\
                 4 A Numerical Example \\
                 Acknowledgements \\
                 References \\
                 Appendix \\
                 8. Relaxation Parameters for the IQE Iterative
                 Procedure for Solving Semi-Implicit Navier--Stokes
                 Difference Equations \\
                 1 Introduction \\
                 2 The Continuous and Discrete Problems \\
                 3 The IQE Iterative Method",
}

@Book{Nash:1990:HSC,
  editor =       "Stephen G. Nash",
  booktitle =    "A History of Scientific Computing",
  title =        "A History of Scientific Computing",
  publisher =    pub-AW # " and " # pub-ACM,
  address =      pub-AW # " and " # pub-ACM:adr,
  pages =        "xix + 359",
  year =         "1990",
  ISBN =         "0-201-50814-1",
  ISBN-13 =      "978-0-201-50814-7",
  LCCN =         "QA76.17 .H59 1990",
  bibdate =      "Wed Dec 15 10:39:57 1993",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;;
                 https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "ACM Press history series",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022); Garrett Birkhoff (19 January 1911--22
                 November 1996); Magnus Rudolph Hestenes (13 February
                 1906--31 May 1991)",
  remark =       "Based on papers presented at the Conference on the
                 History of Scientific and Numeric Computation, held in
                 Princeton, NJ, 1987. A few brief mentions of Alston
                 Householder are indexed in the book, with photographs
                 of him on pages xvi and 344.",
  subject =      "Electronic data processing; History; Science; Data
                 processing",
  tableofcontents = "Remembrance of things past / Herman H. Goldstine /
                 5--16 \\
                 The contribution of J. H. Wilkinson to numerical
                 analysis / B. N. Parlett / 17--30 \\
                 The influence of George Forsythe and his students /
                 James Varah / 31--40 \\
                 Howard H. Aiken and the computer / I. Bernard Cohen /
                 41--52 \\
                 Particles in their self-consistent field: from
                 Hartree's differential analyzer to Cray machines /
                 Oscar Buneman / 57--62 \\
                 Fluid dynamics, reactor computations, and surface
                 representation / Garrett Birkhoff / 63--87 \\
                 The development of ODE methods: a symbiosis between
                 hardware and numerical analysis / C. W. Gear and R. D.
                 Skeel / 88--105 \\
                 A personal retrospection of reservoir simulation /
                 Donald W. Peaceman / 106--129 \\
                 How the FFT gained acceptance / James W. Cooley /
                 133--140 \\
                 Origins of the simplex method / George B. Dantzig /
                 141--151 \\
                 Historical comments on finite elements / J. Tinsley
                 Oden / 152--166 \\
                 Conjugacy and gradients / Magnus R. Hestenes / 167--179
                 \\
                 A historical review of iterative methods / David M.
                 Young / 180--194 \\
                 Shaping the evolution of numerical analysis in the
                 computer age: the SIAM thrust / I. Edward Block /
                 199--205 \\
                 Reminiscences on the University of Michigan summer
                 schools, the Gatlinburg Symposia, and Numerische
                 Mathematik / Richard S. Varga / 206--210 \\
                 The origin of mathematics of computation and some
                 personal recollections / Eugene Isaacson / 211--216 \\
                 Mathematical software and ACM publications / John R.
                 Rice / 217--227 \\
                 BIT --- a child of the computer / Carl-Erik Fr{\"o}berg
                 / 228--233 \\
                 The Los Alamos experience, 1943--1954 / N. Metropolis /
                 237--250 \\
                 The prehistory and early history of computation at the
                 U.S. National Bureau of Standards / John Todd /
                 251--268 \\
                 Programmed computing at the Universities of Cambridge
                 and Illinois in the early fifties / David J. Wheeler /
                 269--279 \\
                 Early numerical analysis in the United Kingdom / L. Fox
                 / 280--300 \\
                 The pioneer days of scientific computing in Switzerland
                 / Martin H. Gutknecht / 301--313 \\
                 The development of computational mathematics in
                 Czechoslovakia and the USSR / I. Babuska / 314--328 \\
                 The contribution of Leningrad mathematicians to the
                 development of numerical linear algebra, 1950--1986 /
                 V. N. Kublanovskaya / 329--338",
}

@Book{Beauwens:1992:IML,
  editor =       "R. Beauwens and R. {De Groen}",
  booktitle =    "Iterative Methods in Linear Algebra",
  title =        "Iterative Methods in Linear Algebra",
  publisher =    pub-ELS-NH,
  address =      pub-ELS-NH:adr,
  pages =        "xiii + 636",
  year =         "1992",
  ISBN =         "0-444-89248-6",
  ISBN-13 =      "978-0-444-89248-5",
  LCCN =         "QA184 .I44 1991",
  bibdate =      "Wed Jan 17 10:18:40 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{Natori:1993:PPS,
  editor =       "Makoto Natori and T. Nodera",
  booktitle =    "{Parallel processing for scientific computing
                 (Yokohama, 1993)}",
  title =        "{Parallel processing for scientific computing
                 (Yokohama, 1993)}",
  volume =       "9",
  publisher =    "Keio University",
  address =      "Yokohama, Japan",
  pages =        "70",
  year =         "1993",
  LCCN =         "????",
  bibdate =      "Wed Jan 17 10:14:47 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  series =       "Advances in numerical methods for large sparse sets of
                 linear equations",
  acknowledgement = ack-nhfb,
  xxISBN =       "none",
}

@Book{Rassias:1993:TPO,
  editor =       "Themistocle M. Rassias and Hari M. Srivastava and A.
                 Yanushauskas",
  booktitle =    "Topics in polynomials of one and several variables and
                 their applications: volume dedicated to the memory of
                 {P. L. Chebyshev} (1821--1894)",
  title =        "Topics in polynomials of one and several variables and
                 their applications: volume dedicated to the memory of
                 {P. L. Chebyshev} (1821--1894)",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  pages =        "ix + 638",
  year =         "1993",
  ISBN =         "981-02-0614-3",
  ISBN-13 =      "978-981-02-0614-7",
  LCCN =         "QA161.P59 T66 1993",
  bibdate =      "Wed Jan 17 10:16:21 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  URL =          "http://www.zentralblatt-math.org/zmath/en/search/?an=0849.00029",
  ZMnumber =     "0849.00029",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  subject-dates = "Pafnuti{\u{\i}} Lvovich Chebyshev (1821--1894)",
  tableofcontents = "Preface / / v \\
                 On the Characterization of Chebyshev Systems and on
                 Conditions of Their Extension / Y. G. Abakumow / 1 \\
                 Characterizations for the Existence of a Solution to
                 the Moment Problem on a Finite Number of Intervals /
                 Wm. R. Allaway \& X. Liu / 9 \\
                 Some Results on Compositions of Algebra-Valued Abstract
                 Polynomials / A. M. Al Rashed \& N. Zaheer / 35 \\
                 Discontinuous Alternation from a Singularity / A.
                 Bacopoulos / 43 \\
                 Some Inequalities for Polynomials / M. Bidkham \& K. K.
                 Dewan / 57 \\
                 Rate of Convergence of Linear Mean Subsequencies of
                 Fourier Sums / N. K. Bliev \& L. P. Falaleev / 65 \\
                 On Markov and Sobolev Type Inequalities on Compact Sets
                 in $\mathbb{R}^n$ / L. P. Bos \& P. D. Milman / 81 \\
                 Application of Chebyshev Polynomials to Antenna Design
                 / J. L. Brenner / 101 \\
                 A Set of Research Problems in Approximation Theory / E.
                 W. Cheney \& Y. Xu / 109 \\
                 On Lagrange Polynomial Quasi-Interpolation / C. K.
                 Chui, X. C. Shen \& L. Zhong / 125 \\
                 The Convexity of Chebyshev Sets in Hilbert Space . / F.
                 Deutsch / 143 \\
                 Trigonometric Symmetries: Four-Dimensional Identities
                 of Modified Chebyshev Polynomials / M. Dombroski / 151
                 \\
                 On the Completeness of Orthogonal Polynomials in
                 Left-Definite Sobolev Spaces / W. N. Everitt, L. L.
                 Littlejohn \& R. Wellman / 173 \\
                 Inequalities for Polynomials and Trigonometric
                 Polynomials Related to the Bernstein Inequality / T. G.
                 Genchev / 197 \\
                 Miscellaneous Problems Solved in Terms of Chebyshev's
                 Orthogonal Polynomials of the First and the Second Kind
                 / C. C. Grosjean / 209 \\
                 A New Method for Generating Infinite Sets of Related
                 Sequences of Orthogonal Polynomials, Starting from
                 First-Order Initial-Value Problems 24 / C. C. Grosjean
                 / 7 \\
                 Some Remarks for the Methods to Find All the Zeros of a
                 Polynomial Simultaneously / M. Igarashi / 273 \\
                 Interpolatory Properties of Chebyshev Polynomials / N.
                 Jhunjhunwala, J. Prasad \& A. K. Varma / 287 \\
                 Orthogonal Polynomials on $n$-Spheres: Gegenbauer,
                 Jacobi and Heun / E. G. Kalnins \& W. Miller, Jr. / 299
                 \\
                 Rational Approximations: A Tau Method Approach / H. G.
                 Khajah \& E. L. Ortiz / 323 \\
                 On the Rational Chebyshev Approximants to a Real-Valued
                 Function with an Unbounded Number of the Poles / R. K.
                 Kovacheva / 335 \\
                 Orthogonal Polynomials and Ordinary Differential
                 Equations / A. M. Krall / 347 \\
                 Theory and Applications of Dickson Polynomials / R.
                 Lidl / 371 \\
                 Some Bilinear Formulas and Integral Equations for
                 Chebyshev Polynomials / R. F. Millar / 397 \\
                 On some Tur{\'a}n's Extremal Problems for Algebraic
                 Polynomials / G. V. Milovanovic, D. S. Mitrinovic \&
                 Th. M. Rassias / 403 \\
                 Extremal Problems for Polynomials and Their
                 Coefficients / G. V. Milovanovic, /. i. Milovanovic \&
                 L. Z. Marinkovic / 435 \\
                 An Application of the Chebyshev Integral Inequality /
                 D. S. Mitrinovic \& J. E. Pecaric / 457 \\
                 Some Recent Advances in the Theory of the Zeros and
                 Critical Points of a Polynomial / Th. M. Rassias \& H.
                 M. Srivastava / 463 \\
                 Artificial Intelligence Today / G. C. Rota / 483 \\
                 The Work of Chebyshev on Orthogonal Polynomials / R.
                 Roy / 495 \\
                 Matching Polynomials and Holographic Neural Networks /
                 W. Schempp / 513 \\
                 A Certain Family of Generating Functions for Classical
                 Orthogonal Polynomials / H. M. Srivastava / 535 \\
                 A Class of Weight Functions that Admit Chebyshev
                 Quadrature / J. L. Ullman / 563 \\
                 On Some Applications of Polynomials in the Theory of
                 Integral Transforms / N. Virchenko / 573 \\
                 Mean Number of Real Zeros of a Random Trigonometric
                 Polynomial. II / J. E. Wilkins, Jr. / 581 \\
                 Orthogonal Polynomials of Many Variables and
                 Degenerated Elliptic Equations / A. Yanushauskas / 595
                 \\
                 Linear Stationary Second-Degree Methods for the
                 Solution of Large Linear Systems / D. M. Young \& D. R.
                 Kincaid / 609 \\
                 A Theorem on Algebra-Valued Pseudo Polar-Derivatives /
                 N. Zaheer / 631",
}

@Proceedings{Brown:1994:PCL,
  editor =       "J. David Brown and Moody T. Chu and Donald C. Ellison
                 and Robert J. Plemmons",
  booktitle =    "{Proceedings of the Cornelius Lanczos International
                 Centenary Conference, Raleigh, North Carolina, December
                 12--17, 1993}",
  title =        "{Proceedings of the Cornelius Lanczos International
                 Centenary Conference, Raleigh, North Carolina, December
                 12--17, 1993}",
  volume =       "73",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "lxv + 644",
  year =         "1994",
  ISBN =         "0-89871-339-0",
  ISBN-13 =      "978-0-89871-339-8",
  LCCN =         "QC19.2 .C67 1993",
  bibdate =      "Wed Jun 8 14:42:43 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/heisenberg-werner.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/einstein.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Proceedings in Applied Mathematics",
  acknowledgement = ack-nhfb,
  meetingname =  "Cornelius Lanczos International Centenary Conference
                 (1993:Raleigh, NC)",
  subject =      "Mathematical physics; Congresses; Astrophysics;
                 Mathematics; Lanczos, Cornelius; Physicists; Hungary;
                 Biography; Mathematicians",
  subject-dates = "1893--1974",
  tableofcontents = "The Life and Works of Cornelius Lanczos \\
                 \\
                 A Photographic Essay / / xvii \\
                 Cornelius Lanczos: A Biographical Essay / Barbara
                 Gellai / xxi \\
                 Cornelius Lanczos (1893-1974), and the Hungarian
                 Phenomenon in Science and Mathematics / Peter D. Lax /
                 xlix \\
                 The Roots of Cornelius Lanczos / George Marx / liii \\
                 Reminiscences of Cornelius Lanczos / Jon Todd / lviii
                 \\
                 Published Papers and Books of Cornelius Lanczos / / lx
                 \\
                 \\
                 Plenary Presentations: Computational Mathematics \\
                 \\
                 Lanczos and the FFT: A Discovery Before its Time /
                 James W. Cooley / 3 \\
                 Lanczos Algorithms for Large Scale Symmetric and
                 Nonsymmetric Matrix Eigenvalue Problems / Jane K.
                 Cullum / 11 \\
                 The Look-Ahead Lanczos Process for Nonsymmetric
                 Matrices and its Applications / Roland W Freund / 33
                 \\
                 The Lanczos and Conjugate Gradient Algorithms in Finite
                 Precision Arithmetic / Anne Greenbaum / 49 \\
                 The Lanczos Process and Pade Approximation / Martin H.
                 Gutknecht / 61 \\
                 The Tau Method and the Numerical Solution of
                 Differential Equations: Past Research and Recent
                 Research / Eduardo L. Ortiz / 77 \\
                 Krylov Subspace Processes, Krylov Subspace Methods, and
                 Iteration Polynomials / C. C. Paige / 83 \\
                 Do We Fully Understand the Symmetric Lanczos Algorithm
                 Yet? / Beresford N. Parlett / 93 \\
                 On Generalized Band Matrices and Their Inverses /
                 P{\'a}l R{\'o}sa, Francesco Romani, and Roberto
                 Bevilacqua / 109 \\
                 Theoretical Error Bounds and General Analysis of a Few
                 Lanczos-Type Algorithms / Youcef Saad / 123 \\
                 Lanczos and Linear Systems / G. W. Stewart / 135 \\
                 \\
                 Plenary Presentations: Theoretical Physics and
                 Astrophysics \\
                 \\
                 Integration on the Space of Connections Modulo Gauge
                 Transformations / Abbay Ashtekar, Donald Marolf, and
                 Jose Mourdo / 143 \\
                 Quasiclassical Domains in a Quantum Universe / James B.
                 Hartle / 161 \\
                 Gauge Invariant Energy-Momentum Tensor in Spinar
                 Electrodynamics / D. Petiot and Y. Takahashi / 173 \\
                 $\gamma$-Ray Bursts and Neutron Star Mergers / Tsvi
                 Piran / 187 \\
                 Lanczos's Early Contributions to Relativity and His
                 Relationship with Einstein / John Stachel / 201 \\
                 Topological Roots of Black Hole Entropy / Claudio
                 Teitelboim / 223 \\
                 Variational Principles, Local Symmetries, and Black
                 Hole Entropy / Robert M. Wald / 231 \\
                 \\
                 Mathematics Minisymposia \\
                 \\
                 Eigenvalue Computations: Theory and Algorithms / / 241
                 \\
                 Eigenvalue Computations: Applications / / 249 \\
                 Moments in Numerical Analysis / / 265 \\
                 Iterative Methods for Linear Systems / / 277 \\
                 Least Squares / / 301 \\
                 Software for Lanczos-based Algorithms / / 311 \\
                 Tau Method / / 335 \\
                 Chebyshev Polynomials / / 357 \\
                 Lanczos Methods in Control and Signal Processing / /
                 375 \\
                 Development of the FFT / / 393 \\
                 The FFT in Signal Processing / / 399 \\
                 Wavelets / / 411 \\
                 \\
                 Physics Minisymposia \\
                 \\
                 Computational Magnetohydrodynamics in Astrophysics / /
                 431 \\
                 Numerical Simulations of Collisionless Space Plasmas /
                 / 453 \\
                 Detection of Gravitational Radiation from Astrophysical
                 Sources / / 477 \\
                 Lanczos $H$-tensor / / 489 \\
                 Cosmic Censorship / / 513 \\
                 Cauchy Problem of General Relativity / / 527 \\
                 Black Hole Evaporation and Thermodynamics / / 543 \\
                 The Problem of Time in Quantum Gravity / / 555 \\
                 New Variables and Loop Quantization / / 571 \\
                 Decoherence and the Foundations of Quantum Mechanics /
                 / 589 \\
                 Open Questions in Particle Theory / / 603 \\
                 Supercollider Physics / / 621 \\
                 Symplectic Methods in Physics / / 633",
}

@Proceedings{Bainov:1995:PTI,
  editor =       "D. Ba{\u\i}nov and Val{\'e}ry Covachev",
  booktitle =    "{Proceedings of the Third International Colloquium on
                 Numerical Analysis: Plovdiv, Bulgaria, 13--17 August,
                 1994}",
  title =        "{Proceedings of the Third International Colloquium on
                 Numerical Analysis: Plovdiv, Bulgaria, 13--17 August,
                 1994}",
  publisher =    pub-VSP,
  address =      pub-VSP:adr,
  year =         "1995",
  ISBN =         "90-6764-193-6",
  ISBN-13 =      "978-90-6764-193-7",
  LCCN =         "QA297 .I45 1994",
  bibdate =      "Tue Feb 15 09:11:00 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{Vulkov:2001:NAA,
  editor =       "Lubin Vulkov and Jerzy Wa{\'s}niewski and Plamen
                 Yalamov",
  booktitle =    "{Numerical Analysis and Its Applications: Second
                 International Conference, NAA 2000, Rousse, Bulgaria,
                 June 11--15, 2000 Revised Papers}",
  title =        "{Numerical Analysis and Its Applications: Second
                 International Conference, NAA 2000, Rousse, Bulgaria,
                 June 11--15, 2000 Revised Papers}",
  volume =       "1988",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "????",
  year =         "2001",
  DOI =          "https://doi.org/10.1007/3-540-45262-1",
  ISBN =         "3-540-45262-1",
  ISBN-13 =      "978-3-540-45262-1",
  LCCN =         "????",
  bibdate =      "Tue Feb 15 09:13:49 MST 2011",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  series =       "Lecture Notes in Computer Science",
  acknowledgement = ack-nhfb,
  subject =      "Computer simulation; Computer software; Electronic
                 data processing; Numerical analysis; Computer Science",
}

@Proceedings{Feistauer:2004:NMA,
  editor =       "M. (Miloslav) Feistauer and V{\'i}t Dolej{\v{s}}{\'i}
                 and Petr Knobloch and Karel Najzar",
  booktitle =    "{Numerical Mathematics and Advanced Applications:
                 Proceedings of ENUMATH 2003 the 5th European Conference
                 on Numerical Mathematics and Advanced Applications
                 Prague, August 2003}",
  title =        "{Numerical Mathematics and Advanced Applications:
                 Proceedings of ENUMATH 2003 the 5th European Conference
                 on Numerical Mathematics and Advanced Applications
                 Prague, August 2003}",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xii + 721",
  year =         "2004",
  DOI =          "https://doi.org/10.1007/978-3-642-18775-9",
  ISBN =         "3-642-62288-7, 3-540-21460-7, 3-642-18775-7 (e-book)",
  ISBN-13 =      "978-3-642-62288-5, 978-3-540-21460-1,
                 978-3-642-18775-9 (e-book)",
  LCCN =         "QA297 .E89 2003",
  bibdate =      "Mon Feb 11 11:30:19 MST 2019",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
  URL =          "http://link.springer.com/10.1007/978-3-642-18775-9",
  abstract =     "The book is the Proceedings of the Conference ENUMATH
                 2003, the 5th European Conference on Numerical
                 Mathematics, concerned with most recent achievements in
                 scientific computing, computational mathematics,
                 numerical analysis and their applications. These
                 proceedings contain a selection of invited plenary
                 lectures, papers presented in minisymposia and
                 contributed papers. All contributions to these
                 proceedings have been reviewed by members of the
                 Scientific Committee. Attention is paid to theoretical
                 aspects of new numerical techniques and algorithms, as
                 well as to applications, for example in fluid dynamics,
                 electromagnetic fields, structural mechanics, free
                 boundary problems. The book will be very useful for a
                 wide range of readers, giving them an excellent
                 overview of the most modern methods, techniques,
                 algorithms and results in numerical mathematics,
                 scientific computing and their applications.",
  acknowledgement = ack-nhfb,
  subject =      "Numerical analysis; Congresses; Numerical analysis.",
  subject-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008)",
  tableofcontents = "Front Matter / i--xiii \\
                 Plenary Lectures \\
                 Front Matter / 1--1 \\
                 Numerical Analysis of Finite Element Methods for Eddy
                 Current Problems. Applications to Electrode Simulation
                 / Alfredo Berm{\'u}dez, Rodolfo Rodr{\'\i}guez, Pilar
                 Salgado / 3--19 \\
                 Space Decomposition Preconditioners and Parallel
                 Solvers / Radim Blaheta / 20--38 \\
                 Boundary Conditions for Hyperbolic Equations or Systems
                 / Thierry Gallou{\"e}t / 39--55 \\
                 Fictitious Domain Methods in Shape Optimization with
                 Applications in Free-Boundary Problems / Jaroslav
                 Haslinger, Tom{\'a}{\v{s}} Kozubek, Karl Kunisch,
                 G{\"u}nter Peichl / 56-75 Contributed Papers \\
                 Front Matter / 77--77 \\
                 Domain Decomposition Method for a Class of Non-Linear
                 Elliptic Equation with Arbitrary Growth Nonlinearity
                 and Data Measure / Nour Eddine Alaa, Jean Rodolphe
                 Roche / 79--88 \\
                 Variants of Relaxation Schemes and the Lattice
                 Boltzmann Model Relaxation Systems / Mapundi Kondwani
                 Banda / 89--101 \\
                 A Time Semi-Implicit Relaxation Scheme for Two-Phase
                 Flows in Pipelines / Micha{\"e}l Baudin,
                 Fr{\'e}d{\'e}ric Coquel, Quang-Huy Tran / 102--111 \\
                 Computational Study of Field Scale BTEX Transport and
                 Biodegradation in the Subsurface / Markus Bause /
                 112--122 \\
                 A Two-Level Stabilization Scheme for the Navier-Stokes
                 Equations / Roland Becker, Malte Braack / 123--130 \\
                 A Posteriori Error Estimates for Parameter
                 Identification / Roland Becker, Boris Vexler / 131--140
                 \\
                 On a Phase-Field Model with Advection / Michal
                 Bene{\v{s}} / 141--150 \\
                 Fast Evaluation of Eddy Current Integral Operators /
                 Steffen B{\"o}rm / 151--158 \\
                 Adaptive Computation of Reactive Flows with Local Mesh
                 Refinement and Model Adaptation / Malte Braack,
                 Alexandre Ern / 159--168 \\
                 An Alternative to the Least-Squares Mixed Finite
                 Element Method for Elliptic Problems / Jan Brandts,
                 Yanping Chen / 169--175 \\
                 Limit Analysis Method in Electrostatics / Igor A.
                 Brigadnov / 176--185 \\
                 Finite Element Mesh Adjusted to Singularities Applied
                 to Axisymmetric and Plane Flow / Pavel Burda, Jaroslav
                 Novotn{\'y}, Bed{\v{r}}ich Soused{\'\i}k, Jakub
                 {\v{S}}{\'\i}stek / 186--195 \\
                 The Edge Stabilization Method for Finite Elements in
                 CFD / Erik Burman, Peter Hansbo / 196--203 \\
                 Analysis and Computation of Dendritic Growth in Binary
                 Alloys Using a Phase-Field Model / Eric Burman, Marco
                 Picasso, Jacques Rappaz / 204--220 \\
                 Discontinuous Galerkin Methods for Timoshenko Beams /
                 Fatila Celiker, Bernardo Cockburn, Sukru G{\"u}zey,
                 Ramdev Kanapady, Sew-Chew Soon, Henrik K. Stolarski et
                 al. / 221--231 \\
                 Numerical Algorithms for Solving Elliptic-Parabolic
                 Problems / Raimondas {\v{C}}iegis / 232--238 \\
                 Stochastic Relaxation of Variational Integrals with
                 Non-attainable Infima / Dennis D. Cox, Petr
                 Klou{\v{c}}ek, Daniel R. Reynolds, Pavel
                 {\v{S}}ol{\'\i}n / 239--249 \\
                 A Pressure-Weighted Upwind Scheme in Unstructured
                 Finite-Element Grids / Masoud Darbandi, Kiumars
                 Mazaheri-Body, Shidvash Vakilipour / 250--259 \\
                 Discontinuous Galerkin Finite Element Method for the
                 Numerical Solution of Viscous Compressible Flows /
                 V{\'\i}t Dolej{\v{s}}{\'\i} / 260--268 \\
                 A Finite Volume Scheme on General Meshes for the Steady
                 Navier-Stokes Equations in Two Space Dimensions /
                 Robert Eymard, Raphale Herbin / 269--277 \\
                 Existence and Uniqueness of a Weak Solution to a
                 Stratigraphic Model / Robert Eymard, Thierry
                 Gallou{\"e}t, V{\'e}ronique Gervais, Roland Masson /
                 278--287 \\
                 Combined Nonconforming/Mixed-hybrid Finite
                 Element-Finite Volume Scheme for Degenerate Parabolic
                 Problems / Robert Eymard, Danielle Hilhorst, Martin
                 Vohral{\'\i}k / 288--297 \\
                 Discrete Maximum Principle for Galerkin Finite Element
                 Solutions to Parabolic Problems on Rectangular Meshes /
                 Istv{\'a}n Farag{\'o}, R{\'o}bert Horv{\'a}th, Sergey
                 Korotov / 298--307 \\
                 Cubature-Differences Method for Singular
                 Integro-differential Equations / Alexander I. Fedotov /
                 308--315 \\
                 Nonconforming Discretization Techniques for Overlapping
                 Domain Decompositions / Bernd Flemisch, Michael Mair,
                 Barbara Wohlmuth / 316--325 \\
                 On the Use of Implicit Updates in Minimum Curvature
                 Multi-step Quasi-Newton Methods / John A. Ford, Issam
                 A. Moghrabi / 326--335 \\
                 A Boundary Movement Identification Method for a
                 Parabolic Partial Differential Equation / Tom P.
                 Fredman / 336--345 \\
                 On Computational Properties of a Posteriori Error
                 Estimates Based upon the Method of Duality Error
                 Majorants / Maxim Frolov, Pekka Neittaanm{\"a}ki,
                 Sergey Repin / 346--357 \\
                 Efficient Algorithm for Local-Bound-Preserving
                 Remapping in ALE Methods / Rao Garimella, Milan
                 Kucha{\v{r}}{\'\i}k, Mikhail Shashkov / 358--367 \\
                 Mimetic Finite Difference Methods for Diffusion
                 Equations on Unstructured Triangular Grid / Victor
                 Ganzha, Richard Liska, Mikhail Shashkov, Christoph
                 Zenger / 368--377 \\
                 On Computational Glaciology: FE-Simulation of Ice Sheet
                 Dynamics / G{\"u}nter G{\"o}dert, Franz-Theo Suttmeier
                 / 378--390 \\
                 Nonreflecting Boundary Conditions for Multiple Domain
                 Wave Scattering in Unbounded Media / Marcus J. Grote,
                 Christoph Kirsch, Patrick Meury / 391--399 \\
                 On the Choice of the Regularization Parameter in the
                 Case of the Approximately Given Noise Level of Data /
                 Uno H{\"a}marik, Toomas Raus / 400--409 \\
                 Adaptive Discontinuous Galerkin Finite Element Methods
                 with Interior Penalty for the Compressible
                 Navier-Stokes Equations / Ralf Hartmann, Paul Houston /
                 410--419 \\
                 On a Novel Technique for Parallel Unstructured Mesh
                 Generation in 3D / Jan Ha{\v{s}}kovec, Pavel
                 {\v{S}}ol{\'\i}n / 420--429 \\
                 Adaptive Finite Element Methods for Turbulent Flow /
                 Johan Hoffman, Claes Johnson / 430--439 \\
                 Numerical Solution of a Nonlinear Evolution Equation
                 Describing Amorphous Surface Growth of Thin Films /
                 Ronald H.W. Hoppe, Eva Nash / 440--448 \\
                 Constrained Mountain Pass Algorithm for the Numerical
                 Solution of Semilinear Elliptic Problems /
                 Ji{\v{r}}{\'\i} Hor{\'a}k / 449--458 \\
                 Optimal Shape Design of Diesel Intake Ports with
                 Evolutionary Algorithm / Andr{\'a}s Horv{\'a}th,
                 Zolt{\'a}n Horv{\'a}th / 459--470 \\
                 Numerical Simulation of Compressible Fluids with Moving
                 Boundaries: An Effective Method with Applications /
                 Zolt{\'a}n Horv{\'a}th, Andr{\'a}s Horv{\'a}th /
                 471--482 \\
                 Discontinuous Galerkin Methods for the Time-Harmonic
                 Maxwell Equations / Paul Houston, Ilaria Perugia, Anna
                 Schneebeli, Dominik Sch{\"o}tzau / 483--492 \\
                 Mixed hp-Discontinuous Galerkin Finite Element Methods
                 for the Stokes Problem in Polygons / Paul Houston,
                 Dominik Sch{\"o}tzau, Thomas P. Wihler / 493--501 \\
                 A Postprocessing of Hopf Bifurcation Points /
                 D{\'a}{\v{s}}a Janovsk{\'a}, Vladim{\'\i}r Janovsk{\'y}
                 / 502--509 \\
                 Givens' Reduction of Quaternion-Valued Matrices to
                 Upper Hessenberg Form / Drahoslava Janovsk{\'a},
                 Gerhard Opfer / 510--520 \\
                 Model of Compressible Flow and Transport in a
                 Time-Dependent Domain / Pavel Jir{\'a}nek,
                 Ji{\v{r}}{\'\i} Mary{\v{s}}ka, Jan {\v{S}}embera /
                 521--530 \\
                 Numerical Study of Convection of Multi-Component Fluid
                 in Porous Medium / Olga Kantur, Vyacheslav Tsybulin /
                 531--538 \\
                 Multi-yield Elastoplastic Continuum-Modeling and
                 Computations / Johanna Kienesberger, Jan Valdman /
                 539--548 \\
                 Celebrating Fifty Years of David M. Young's Successive
                 Overrelaxation Method / David R. Kincaid / 549--558 \\
                 On the Relational Database Style Parallel Numerical
                 Programming / B{\'e}la Kiss, Anna Krebsz / 559--568 \\
                 A Dynamical System Describing Evolution of the Implicit
                 Surfaces in Incompressible Viscous Liquids / Petr
                 Klou{\v{c}}ek, Michel V. Romerio, Jennifer L. Wightman
                 / 569--579 \\
                 Discrete Maximum Principles in Finite Element Modelling
                 / Sergey Korotov, Michal K{\v{r}}{\'\i}{\v{z}}ek /
                 580--586 \\
                 A Posteriori Error Estimation in Terms of Linear
                 Functionals for Boundary Value Problems of Elliptic
                 Type / Sergey Korotov, Pekka Neittaanm{\"a}ki, Sergey
                 Repin / 587--595 \\
                 Numerical Solution of Flow in Backward Facing Step /
                 Karel Kozel, Petr Louda, Petr Sv{\'a}{\v{c}}ek /
                 596--604 \\
                 Periodicity Properties of Solutions to a Hysteresis
                 Model in Micromagnetics / Martin Kru{\v{z}}{\'\i}k /
                 605--614 \\
                 Mixed Finite Element Method on Polygonal and Polyhedral
                 Meshes / Yuri Kuznetsov, Sergey Repin / 615--622 \\
                 Semi-discrete Schemes for Hamilton-Jacobi Equations on
                 Unstructured Grids / Doron Levy, Suhas Nayak / 623--630
                 \\
                 Numerical Simulation of Dislocation Dynamics /
                 Vojt{\v{e}}ch Min{\'a}rik, Jan Kratochv{\'\i}l, Karol
                 Mikula, Michal Bene{\v{s}} / 631--640 \\
                 Implicit FEM-FCT algorithm for compressible flows /
                 Matthias M{\"o}ller, Dmitri Kuzmin, Stefan Turek /
                 641--650 \\
                 A Singular Limit Method for the Stefan Problems /
                 Hideki Murakawa, Tatsuyuki Nakaki / 651--657 \\
                 Higher-Order Split-Step Schemes for the Generalized
                 Nonlinear Schr{\"o}dinger Equation / Gulcin M. Muslu,
                 Husnu A. Erbay / 658--667 \\
                 Numerical Methods and Simulation Techniques for Flow
                 with Shear and Pressure Dependent Viscosity /
                 Abderrahim Ouazzi, Stefan Turek / 668--676 \\
                 Piecewise Polynomial Approximations for Linear Volterra
                 Integro-Differential Equations with Nonsmooth Kernels /
                 Arvet Pedas / 677--686 \\
                 On a Discontinuous Galerkin Method for
                 Radiation-Diffusion Problems / Ilaria Perugia, Dominik
                 Sch{\"o}tzau, James Warsa / 687--697 \\
                 Modeling of Multi-Phase Flows with a Level-Set Method /
                 Sander P. van der Pijl, A. Segal, C. Vuik / 698--707
                 \\
                 Numerical Modeling of Bypass Flow / Vladimir Prokop,
                 Karel Kozel / 708--715 \\
                 A Posteriori Estimation of Dimension Reduction Errors /
                 Sergey Repin, Stefan Sauter, Anton Smolianski /
                 716--725 \\
                 Analysis of a Multi-Numerics/Multi-Physics Problem /
                 B{\'e}atrice Rivi{\`e}re / 726--735 \\
                 The Discontinuous Galerkin Method for Singularly
                 Perturbed Problems / Hans-G{\"o}rg Roos, Helena Zarin /
                 736--745 \\
                 A Finite-Volume Mass- and Vorticity-Conserving
                 Shallow-Water Model using Penta-/Hexagonal Grids /
                 William Sawyer, Rolf Jeltsch / 746--755 \\
                 Application of Parallel Computing Techniques for
                 Problems of Degenerated Diffusion / Milan
                 {\v{S}}enk{\'y}{\v{r}}, Ji{\v{r}}{\'\i} Miky{\v{s}}ka,
                 Michal Bene{\v{s}} / 756--765 \\
                 The Finite Element Analysis of an Elliptic Problem with
                 a Nonlinear Newton Boundary Condition / Veronika
                 Sobot{\'\i}kov{\'a} / 766--774 \\
                 Automatic Goal-Oriented hp-Adaptivity Without Error
                 Estimates / Pavel {\v{S}}ol{\'\i}n, Leszek Demkowicz /
                 775--785 \\
                 A Compression Method for the Helmholtz Equation /
                 Mirjam Stolper, Sergej Rjasanow / 786--795 \\
                 Application of a Stabilized FEM to Problems of
                 Aeroelasticity / Petr Sv{\'a}{\v{c}}ek, Miloslav
                 Feistauer / 796--805 \\
                 A Numerical Approach to the Dynamical Behavior of
                 Initiated Pulses in Some Nonlinear Diffusion Equations
                 / Kenji Tomoeda / 806--814 \\
                 Fully Two-dimensional HLLEC Riemann Solver and
                 Associated Difference Schemes / Pavel V{\'a}chal,
                 Richard Liska, Burton Wendroff / 815--824 \\
                 Deflation Accelerated Parallel Preconditioned Conjugate
                 Gradient Method in Finite Element Problems / Fred J.
                 Vermolen, Kees Vuik, Guus Segal / 825--833 \\
                 Advantages of Binomial Checkpointing for Memory-reduced
                 Adjoint Calculations / Andrea Walther, Andreas Griewank
                 / 834--843 \\
                 An Efficient Multigrid FEM Solution Technique for
                 Incompressible Flow with Moving Rigid Bodies / Decheng
                 Wan, Stefan Turek, Liudmila S. Rivkind / 844--853 \\
                 Higher-Order FEM for a System of Nonlinear Parabolic
                 PDE's in 2D with A-Posteriori Error Estimates / Martin
                 Z{\'\i}tka, Karel Segeth, Pavel {\v{S}}ol{\'\i}n /
                 854--863",
}