%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "David R. Kincaid", %%% version = "1.25", %%% date = "11 February 2019", %%% time = "13:39:58 MST", %%% filename = "kincaid-david-r.bib", %%% address = "University of Texas at Austin %%% Department of Mathematics %%% Austin, TX %%% USA", %%% telephone = "+1 512 471 1242", %%% FAX = "+1 512 471 9038", %%% checksum = "10802 3050 13379 133466", %%% email = "kincaid at cs.utexas.edu (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "linear algebra", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a bibliography of publications of %%% David R. Kincaid. The companion LaTeX file %%% kincaid-david-r.ltx can be used to typeset %%% this bibliography. %%% %%% At version 1.25, the year coverage looked %%% like this: %%% %%% 1967 ( 1) 1983 ( 2) 1999 ( 1) %%% 1968 ( 0) 1984 ( 10) 2000 ( 1) %%% 1969 ( 1) 1985 ( 7) 2001 ( 3) %%% 1970 ( 0) 1986 ( 3) 2002 ( 3) %%% 1971 ( 6) 1987 ( 3) 2003 ( 1) %%% 1972 ( 4) 1988 ( 8) 2004 ( 2) %%% 1973 ( 1) 1989 ( 7) 2005 ( 0) %%% 1974 ( 2) 1990 ( 4) 2006 ( 1) %%% 1975 ( 1) 1991 ( 6) 2007 ( 0) %%% 1976 ( 0) 1992 ( 5) 2008 ( 0) %%% 1977 ( 1) 1993 ( 5) 2009 ( 1) %%% 1978 ( 2) 1994 ( 7) 2010 ( 2) %%% 1979 ( 7) 1995 ( 1) 2011 ( 0) %%% 1980 ( 3) 1996 ( 2) 2012 ( 0) %%% 1981 ( 4) 1997 ( 1) 2013 ( 0) %%% 1982 ( 2) 1998 ( 1) 2014 ( 1) %%% %%% Article: 38 %%% Book: 12 %%% InCollection: 7 %%% InProceedings: 27 %%% MastersThesis: 1 %%% Misc: 2 %%% PhdThesis: 1 %%% Proceedings: 6 %%% TechReport: 28 %%% Unpublished: 1 %%% %%% Total entries: 123 %%% %%% This file is available as part of the BibNet %%% Project. The master copy is available for %%% public access on ftp.math.utah.edu in the %%% directory tree /pub/bibnet/authors. It is %%% mirrored to netlib.bell-labs.com in the directory %%% tree /netlib/bibnet/authors, from which it is %%% available via anonymous ftp and the Netlib %%% service. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ====================================================================

@Preamble{ "\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi" # "\input path.sty" }

%%% ==================================================================== %%% Institute 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-ABSTR-APPL-ANAL= "Abstract and Applied Analysis"} @String{j-APPL-NUM-MATH= "Applied Numerical Mathematics: Transactions of IMACS"} @String{j-COMM-APPL-NUM-METH= "Communications in Applied Numerical Methods"} @String{j-COMP-MATH-APP= "Computers in Mathematical Applications"} @String{j-COMP-PHYS-COMM= "Computer Physics Communications"} @String{j-IEEE-COMPUT-SCI-ENG= "IEEE Computational Science \& Engineering"} @String{j-INT-J-NUM-METH-ENG= "International J. Numer. Methods Engineering"} @String{j-INT-SCI-COMP-MOD= "International Journal on Scientific Computing \& Modeling"} @String{j-J-COMPUT-APPL-MATH= "Journal of Computational and Applied Mathematics"} @String{j-LECT-NOTES-MATH= "Lecture Notes in Mathematics"} @String{j-MATH-COMPUT= "Mathematics of Computation"} @String{j-MATH-COMP-SIM= "Mathematics and Computers in Simulation"} @String{j-NUM-LIN-ALG-APPL= "Numerical Linear Algebra with Applications"} @String{j-NUM-MATH= "Numerische Mathematik"} @String{j-NUMER-ALGORITHMS= "Numerical Algorithms"} @String{j-SIAM-J-ALG-DISC-METH= "SIAM Journal on Algebraic and Discrete Methods"} @String{j-SIAM-J-NUMER-ANAL= "SIAM Journal on Numerical Analysis"} @String{j-SIAM-REVIEW= "SIAM Review"} @String{j-TOMS= "ACM Transactions on Mathematical Software"}

%%% ==================================================================== %%% Publisher abbreviations:

@String{pub-ACC-LINCEI= "Accademia dei Lincei"} @String{pub-ACC-LINCEI:adr= "Roma, Italy"} @String{pub-AMS= "American Mathematical Society"} @String{pub-AMS:adr= "Providence, RI, USA"} @String{pub-AP= "Academic Press"} @String{pub-AP:adr= "New York, NY, USA"} @String{pub-BROOKS-COLE= "Brooks\slash Cole Publishing Co."} @String{pub-BROOKS-COLE:adr= "Pacific Grove, CA, USA"} @String{pub-CRAY= "Cray Research, Inc."} @String{pub-CRAY:adr= "Minneapolis, MN"} @String{pub-CRITERION= "Criterion Press"} @String{pub-CRITERION:adr= "Dublin, Ireland"} @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-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-INT-J-SERV= "International Journal Services, Inc."} @String{pub-INT-J-SERV:adr= "Calcutta, India"} @String{pub-NASA-SCI-TECH-INFO-RES= "NASA Scientific and Technical Information Research"} @String{pub-NASA-SCI-TECH-INFO-RES:adr= "Washington, D.C."} @String{pub-NORTH-HOLLAND= "North-Holland Publishing Co."} @String{pub-NORTH-HOLLAND:adr= "Amsterdam, The Netherlands"} @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-WILEY= "Wiley"} @String{pub-WILEY:adr= "New York, NY, USA"} @String{pub-WORLD-SCI= "World Scientific Publishing Co."} @String{pub-WORLD-SCI:adr= "Singapore, Philadelphia, River Edge, NJ"}

%%% ==================================================================== %%% Series abbreviations:

@String{ser-LNCS= "Lecture Notes in Computer Science"} @String{ser-LNM= "Lecture Notes in Mathematics"}

%%% ==================================================================== %%% Bibliography entries, sorted by increasing year, and within years, %%% by citation label:

@MastersThesis{Kincaid:1967:APC, author = "David R. Kincaid", title = "Algorithmic Procedures for Computing the Greatest Common Divisor of $n$ Integers", school = "University of Texas at Austin", address = "Austin, TX, USA", month = may, year = "1967", bibdate = "Fri Oct 23 22:30:41 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @TechReport{Young:1969:NSO, author = "David M. Young and David R. Kincaid", title = "Norms of the Successive Overrelaxation Method and Related Methods", type = "Report", number = "TNN--94", institution = inst-CC-UTA, address = inst-CC-UTA:adr, month = sep, year = "1969", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @TechReport{Kincaid:1971:ACNa, author = "David R. Kincaid", title = "An Analysis of a Class of Norms of Iterative Methods for Systems of Linear Equations", type = "Report", number = "CNA-18", institution = inst-CNA-UTA, address = inst-CNA-UTA:adr, month = may, year = "1971", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", note = "Ph.D. thesis", } @PhdThesis{Kincaid:1971:ACNb, author = "David R. Kincaid", title = "An Analysis of a Class of Norms of Iterative Methods for Systems of Linear Equations", school = "University of Texas at Austin", month = may, year = "1971", bibdate = "Fri Oct 23 22:30:41 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", note = "Also, Report CNA-18, Center for Numerical Analysis", } @TechReport{Kincaid:1971:CNI, author = "David R. Kincaid", title = "A Class of Norms of Iterative Methods for Solving Systems of Linear Equations", type = "Report", number = "CNA-24", institution = inst-CNA-UTA, address = inst-CNA-UTA:adr, month = jun, year = "1971", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @TechReport{Kincaid:1971:ESI, author = "David R. Kincaid", title = "Extrapolated, Semi-iterative and Second-degree Methods for Systems of Linear Equations", type = "Report", number = "CNA-23", institution = inst-CNA-UTA, address = inst-CNA-UTA:adr, month = jun, year = "1971", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @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 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @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 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @Article{Kincaid:1972:CNI, author = "David R. Kincaid", title = "A class of norms of iterative methods for solving systems of linear equations", journal = j-NUM-MATH, volume = "20", pages = "392--408", year = "1972\slash 1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35", MRnumber = "0341848 (49 \#6594)", MRreviewer = "L. Hageman", bibdate = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @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", year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10", MRnumber = "0331746 (48 \#10078)", MRreviewer = "Amnon Barak", bibdate = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Kincaid:1972:NSO, author = "David R. Kincaid", title = "Norms of the Successive Overrelaxation Method", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "345--357", year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10", MRnumber = "0311089 (46 \#10185)", MRreviewer = "D. M. Young, Jr.", bibdate = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @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 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @Article{Kincaid:1973:CNI, author = "David R. Kincaid", title = "A Class of Norms of Iterative Methods for Solving Systems of Linear Equations", journal = j-NUM-MATH, volume = "20", pages = "392--408", year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Fri Oct 23 22:30:41 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kincaid:1974:CSD, author = "David R. Kincaid", title = "On Complex Second-Degree Iterative Methods", journal = j-SIAM-J-NUMER-ANAL, volume = "11", number = "2", pages = "211--218", month = apr, year = "1974", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65F10", MRnumber = "0343561 (49 \#8302)", MRreviewer = "W. Niethammer", bibdate = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @TechReport{Kincaid:1974:NRA, author = "David R. Kincaid", title = "Numerical Results of the Application of Complex Second-degree and Semi-iterative Methods", type = "Report", number = "CNA-90", institution = inst-CNA-UTA, address = inst-CNA-UTA:adr, month = sep, year = "1974", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @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", bibdate = "Fri Oct 23 22:30:41 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", fjournal = "Annales de l'Association Internationale pour le Calcul Analogique", } @TechReport{Kincaid:1977:IRN, author = "David R. Kincaid and Roger G. Grimes", title = "{ITPACK} Report: Numerical Studies of Several Adaptive Iterative Algorithms", type = "Report", number = "CNA-126", institution = inst-CNA-UTA, address = inst-CNA-UTA:adr, month = aug, year = "1977", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @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 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @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 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @InCollection{Kincaid:1979:IAI, author = "David R. Kincaid and Roger G. Grimes and William I. MacGregor and David M. Young", booktitle = "Symposium on Reservoir Simulation", title = "{ITPACK}: Adaptive Iterative Algorithms Using Symmetric Sparse Storage", volume = "SPE 7687", publisher = pub-SOC-PETRO-ENG-AIME, address = pub-SOC-PETRO-ENG-AIME:adr, pages = "151--170", year = "1979", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @InProceedings{Kincaid:1979:SCS, author = "D. Kincaid and S. Eisenstat and A. George and R. Grimes and A. Sherman", editor = "R. Vichnevetsky and R. S. Stepleman", booktitle = "Advances in Computer Methods for Partial Differential Equations", title = "Some Comparisons of Software Packages for Large Sparse Linear Systems", volume = "III", publisher = pub-IMACS, address = pub-IMACS:adr, pages = "98--106", year = "1979", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @InCollection{Kincaid:1979:SIM, author = "David R. Kincaid and David M. Young", editor = "Jack Belzer and Albert G. Holzman and Allen Kent", booktitle = "Encyclopedia of Computer Sciences and Technology", title = "Survey of Iterative Methods", volume = "13", publisher = pub-DEKKER, address = pub-DEKKER:adr, pages = "354--391", year = "1979", ISBN = "0-8247-2263-9", ISBN-13 = "978-0-8247-2263-0", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @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", bibdate = "Fri Oct 23 22:30:41 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", 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", editor = "R. Vichnevetsky and R. S. Stepleman", booktitle = "Advances in Computer Methods for Partial Differential Equations", title = "The Use of Iterative Methods for Solving Large Sparse {PDE}-related Linear Systems", volume = "III", publisher = pub-IMACS, address = pub-IMACS:adr, pages = "29--32", year = "1979", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @Article{Lawson:1979:ABL, author = "C. L. Lawson and R. J. Hanson and D. R. Kincaid and F. T. Krogh", title = "{Algorithm 539}: {Basic Linear Algebra Subprograms} for {Fortran} Usage [{F1}]", journal = j-TOMS, volume = "5", number = "3", pages = "324--325", month = sep, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355841.355848", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Thu May 20 13:48:12 2004", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://portal.acm.org/toc.cfm?idx=J782", remark = "See also \cite{Dodson:1982:RBL,Dodson:1983:CRB,Hanson:1987:ATA,Louter-Nool:1988:ATA,Hanson:2004:AAV} in toms.bib.", } @Article{Lawson:1979:BLA, author = "C. L. Lawson and R. J. Hanson and D. R. Kincaid and F. T. Krogh", title = "{Basic Linear Algebra Subprograms} for {Fortran} Usage", journal = j-TOMS, volume = "5", number = "3", pages = "308--323", month = sep, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355841.355847", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 19:42:33 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://portal.acm.org/toc.cfm?idx=J782", keywords = "BLAS; nla; software", } @Book{Cheney:1980:NMC, author = "Ward Cheney and David Kincaid", title = "Numerical Mathematics and Computing", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "xiv + 362", year = "1980", ISBN = "0-8185-0357-2", ISBN-13 = "978-0-8185-0357-3", LCCN = "QA297.C426 519.4 79-17230", MRclass = "65-01", MRnumber = "640587 (83e:65001)", bibdate = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", note = "Contemporary Undergraduate Mathematics Series", acknowledgement = ack-nhfb, } @Book{Cheney:1980:SMN, author = "Ward Cheney and David Kincaid", title = "Solution Manual for Numerical Mathematics and Computing", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "212", year = "1980", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @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 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @InCollection{Kincaid:1981:AIA, author = "David R. Kincaid and David M. Young", editor = "Martin Schultz", booktitle = "Elliptic Problem Solvers", title = "Adapting Iterative Algorithms Developed for Symmetric Systems to Nonsymmetric Systems", publisher = pub-AP, address = pub-AP:adr, pages = "353--359", year = "1981", ISBN = "0-12-632620-7", ISBN-13 = "978-0-12-632620-8", LCCN = "QA377.E53", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @InProceedings{Kincaid:1981:APS, author = "David R. Kincaid", editor = "R. Vichnevetsky and R. S. Stepleman", booktitle = "Advances in Computer Methods for Partial Differential Equations", title = "Acceleration Parameters for a Symmetric Successive Overrelaxation Conjugate Gradient Method for Nonsymmetric Systems", volume = "IV", publisher = pub-IMACS, address = pub-IMACS:adr, pages = "294--299", year = "1981", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @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 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", note = "(Also, Report CCSN--44, Computation Center, University of Texas at Austin.)", } @InCollection{Young:1981:IPL, author = "David M. Young and David R. Kincaid", editor = "Martin Schultz", booktitle = "Elliptic Problem Solvers", title = "The {ITPACK} Package for Large Sparse Linear Systems", publisher = pub-AP, address = pub-AP:adr, pages = "163--185", year = "1981", ISBN = "0-12-632620-7", ISBN-13 = "978-0-12-632620-8", LCCN = "QA377.E53", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @Article{Kincaid:1982:AIF, 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", 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 = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://portal.acm.org/toc.cfm?idx=J782", } @InProceedings{Kincaid:1982:AIR, author = "David R. Kincaid and Thomas C. Oppe and David M. Young", booktitle = "Proceedings: Symposium on {CYBER 205} Applications", title = "Adapting {ITPACK} Routines for Use on a Vector Computer", publisher = pub-CSU, address = pub-CSU:adr, pages = "??--??", month = aug, year = "1982", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @InCollection{Kincaid:1983:AIA, author = "David R. Kincaid and David M. Young", booktitle = "CYBER 200 Applications Seminar", title = "Adapting Iterative Algorithms for Solving Large Sparse Linear Systems for Efficient Use on the {CDC CYBER 205}", publisher = pub-NASA-SCI-TECH-INFO-RES, address = pub-NASA-SCI-TECH-INFO-RES:adr, pages = "147--160", year = "1983", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", note = "NASA Conference Publication 2295", sher = "NASA Scientific and Technical Information Research", } @Article{Kincaid:1983:IS, author = "David R. Kincaid and Thomas C. Oppe", title = "Itpack on supercomputers", journal = j-LECT-NOTES-MATH, volume = "1005", pages = "151--161", year = "1983", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0112532", ISBN = "3-540-12334-2 (print), 3-540-40967-X (e-book)", ISBN-13 = "978-3-540-12334-7 (print), 978-3-540-40967-0 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", bibdate = "Fri May 9 19:07:42 MDT 2014", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; http://www.math.utah.edu/pub/tex/bib/lnm1980.bib", URL = "http://link.springer.com/chapter/10.1007/BFb0112532/", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/BFb0112521", book-URL = "http://www.springerlink.com/content/978-3-540-40967-0", fjournal = "Lecture Notes in Mathematics", journal-URL = "http://link.springer.com/bookseries/304", } @InProceedings{Kincaid:1984:CFE, author = "David R. Kincaid and Graham F. Carey and Thomas C. Oppe and Kamy Sepehrnoori and David M. Young", editor = "R. Vichnevetsky and R. S. Stepleman", booktitle = "Advances in Computer Methods for Partial Differential Equations", title = "Combining Finite Element and Iterative Methods for Solving Partial Differential Equations on Advanced Computer Architectures", volume = "V", publisher = pub-IMACS, address = pub-IMACS:adr, pages = "375--378", year = "1984", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", xxauthor = "Graham F. Carey and David R. Kincaid and Thomas C. Oppe and Kamy Sepehrnoori and David M. Young", } @InProceedings{Kincaid:1984:IPPa, 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 = "764224", bibdate = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", acknowledgement = ack-nhfb, } @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 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @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 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @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 = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", acknowledgement = ack-nhfb, } @InProceedings{Young:1984:ISP, author = "David M. Young and David R. Kincaid", title = "The {ITPACK} Software Package", crossref = "Engquist:1984:PSM", pages = "193--206", year = "1984", MRclass = "65F10 (65-04)", MRnumber = "823811", bibdate = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", note = "With a discussion", acknowledgement = ack-nhfb, xxauthor = "David R. Kincaid and David M. Young", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", ZMnumber = "Zbl 0592.65071", } @Book{Cheney:1985:NMC, author = "Ward Cheney and David Kincaid", title = "Numerical Mathematics and Computing", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, edition = "Second", pages = "562", year = "1985", ISBN = "0-534-04356-9", ISBN-13 = "978-0-534-04356-8", LCCN = "QA297.C426 19845", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @Book{Cheney:1985:SMN, author = "Ward Cheney and David Kincaid", title = "Solution Manual for Numerical Mathematics and Computing", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "292", year = "1985", ISBN = "0-534-04357-7", ISBN-13 = "978-0-534-04357-5", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @TechReport{Kincaid:1985:CSI, author = "David R. Kincaid and Thomas C. Oppe", title = "A Comparison Study of Iterative Solution Methods for Sample Oil Reservoir Simulation Problems on Vector Computers", type = "Report", number = "CNA-200", institution = inst-CNA-UTA, address = inst-CNA-UTA:adr, month = aug, year = "1985", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @InProceedings{Kincaid:1985:ISM, author = "David R. Kincaid and Thomas C. Oppe and John R. Respess and David M. Young", editor = "John R. Rice and Ronald F. Boisvert", booktitle = "Solving Elliptic Problems Using ELLPACK", title = "{ITPACK} Solution Modules", chapter = "7", publisher = pub-SV, address = pub-SV:adr, pages = "121--146", year = "1985", ISBN = "0-387-90910-9", ISBN-13 = "978-0-387-90910-3", LCCN = "QA377.R53 1984", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", series = "North-Holland Math. Stud.", acknowledgement = ack-nhfb, } @TechReport{Young:1985:UVCa, author = "D. Young and T. Oppe and D. Kincaid and L. Hayes", title = "On the Use of Vector Computers for Solving Large Sparse Linear Systems", type = "Technical report", number = "CNA-199", institution = inst-CNA-UTA, address = inst-CNA-UTA:adr, year = "1985", bibdate = "Fri Nov 11 22:30:41 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", acknowledgement = ack-nhfb, } @InProceedings{Young:1985:UVCb, 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", publisher = pub-ACC-LINCEI, address = pub-ACC-LINCEI:adr, pages = "??--??", month = may, year = "1985", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @InProceedings{Kincaid:1986:TFD, author = "David R. Kincaid and David M. Young", editor = "H. S. Stone and S. Winkler", booktitle = "Fall Joint Computer Conference Proceedings", title = "A Tutorial on Finite Difference Methods and Ordering of Mesh Points", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "556--559", year = "1986", ISBN = "0-8186-0743-2", ISBN-13 = "978-0-8186-0743-1", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @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", DOI = "https://doi.org/10.1137/0607012", ISSN = "0196-5212", MRclass = "65F10 (65W05)", MRnumber = "819711 (87f:65041)", MRreviewer = "R. P. Tewarson", bibdate = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", acknowledgement = ack-nhfb, fjournal = "Society for Industrial and Applied Mathematics. Journal on Algebraic and Discrete Methods", journal-URL = "http://epubs.siam.org/loi/sjamdu", } @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", MRclass = "65F10 65N22", bibdate = "Fri Oct 23 22:30:41 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", ZMnumber = "Zbl 0587.65025", fjournal = "Communications in Applied Numerical Methods", } @TechReport{Oppe:1987:NEPa, author = "T. Oppe and D. Kincaid", title = "Numerical Experiments with a Parallel Conjugate Gradient Method", type = "Technical report", number = "CNA-208", institution = inst-CNA-UTA, address = inst-CNA-UTA:adr, year = "1987", bibdate = "Fri Nov 11 22:30:41 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", acknowledgement = ack-nhfb, } @InProceedings{Oppe:1987:NEPb, author = "Thomas C. Oppe and David R. Kincaid", editor = "R. Vichnevetsky and R. S. Stepleman", booktitle = "Advances in Computer Methods for Partial Differential Equations", title = "Numerical Experiments with a Parallel Conjugate Gradient Method", volume = "VI", publisher = pub-IMACS, address = pub-IMACS:adr, pages = "369--374", year = "1987", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @Article{Oppe:1987:PIV, author = "Thomas C. Oppe and David R. Kincaid", title = "The Performance of {ITPACK} on Vector Computers for Solving Large Sparse Linear Systems Arising in Sample Oil Reservoir Simulation Problems", journal = j-COMM-APPL-NUM-METH, volume = "3", number = "1", pages = "23--29", year = "1987", CODEN = "CANMER", ISSN = "0748-8025 (print), 1555-2047 (electronic)", ISSN-L = "0748-8025", MRclass = "76T99; 76-04 (Machine computation, programs (fluid mechanics)); 65Y05 (Parallel computation (numerical methods))", bibdate = "Fri Oct 23 22:30:41 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", ZMnumber = "Zbl 0612.76112", fjournal = "Communications in Applied Numerical Methods", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib; http://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib", URL = "http://www.sciencedirect.com/science/article/pii/0377042788903470", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", } @TechReport{Kincaid:1988:ONN, author = "David R. Kincaid and Thomas C. Oppe and Wayne D. Joubert", title = "An Overview of {NSPCG}: {A} Nonsymmetric Preconditioned Conjugate Gradient Package", type = "Report", number = "CNA-228", institution = inst-CNA-UTA, address = inst-CNA-UTA:adr, month = oct, year = "1988", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @Article{Kincaid:1988:PAG, author = "David R. Kincaid and Thomas C. Oppe", title = "A parallel algorithm for the general {$ L U $} factorization", journal = j-COMM-APPL-NUM-METH, volume = "4", number = "3", pages = "349--359", year = "1988", CODEN = "CANMER", ISSN = "0748-8025 (print), 1555-2047 (electronic)", ISSN-L = "0748-8025", MRclass = "65F30; 65F05 (Direct methods for linear systems); 65Y05 (Parallel computation (numerical methods))", MRnumber = "964567", bibdate = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", ZMnumber = "Zbl 0642.65020", acknowledgement = ack-nhfb, fjournal = "Communications in Applied Numerical Methods", keywords = "$LU$-factorizations; CRAY X-MP; Crout method; Doolittle method; parallel computer", } @TechReport{Kincaid:1988:SPA, author = "David R. Kincaid and Thomas C. Oppe", title = "Some Parallel Algorithms on the Four Processor {Cray} {X-MP4} Supercomputer", type = "Report", number = "CNA-220", institution = inst-CNA-UTA, address = inst-CNA-UTA:adr, month = may, year = "1988", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @InProceedings{Kincaid:1988:VPIa, author = "David R. Kincaid and Graham F. Carey and Kamy Sepehrnoori and David M. Young", booktitle = "Science and Engineering on {Cray} Supercomputers", title = "Vector and Parallel Iterative Solution of Large Sparse Systems for {PDE}'s", publisher = pub-CRAY, address = pub-CRAY:adr, pages = "25--44", year = "1988", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @TechReport{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 {PDEs}", type = "Report", number = "CNA-222", institution = inst-CNA-UTA, address = inst-CNA-UTA:adr, month = aug, year = "1988", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @TechReport{Oppe:1988:NUG, author = "Thomas C. Oppe and Wayne D. Joubert and David R. Kincaid", title = "{NSPCG} User's Guide, Version 1.0: {A} Package for Solving Large Sparse Linear Systems by Various Iterative Methods", type = "Report", number = "CNA-216", institution = inst-CNA-UTA, address = inst-CNA-UTA:adr, month = apr, year = "1988", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @InProceedings{Oppe:1988:PFA, author = "Thomas C. Oppe and David R. Kincaid", editor = "E. N. Houstis and T. S. Papatheodorou and C. D. Polychronopoulos", booktitle = "Supercomputing ({Athens}, 1987)", title = "Parallel {$ L U $}-Factorization Algorithms for Dense Matrices", volume = "297", publisher = pub-SV, address = pub-SV:adr, pages = "576--594", year = "1988", ISBN = "0-387-18991-2", ISBN-13 = "978-0-387-18991-8", MRclass = "65W05 (65F05)", MRnumber = "936229", bibdate = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", series = ser-LNCS, acknowledgement = ack-nhfb, } @Unpublished{Ashby:1989:SSM, author = "S. Ashby and H. Elman and D. Kincaid and Y. Saad", key = "AshbyElman", title = "Standards for Sparse Matrix Software", year = "1989", bibdate = "Fri Nov 11 22:30:41 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; http://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib", note = "Summary of session: {\it Standards for Sparse Matrix Software}, Copper Mountain Conference on Iterative Methods, April 1990.", acknowledgement = ack-nhfb, } @Article{Kincaid:1989:INS, author = "David R. Kincaid and Thomas C. Oppe and Wayne D. Joubert", title = "An Introduction to the {NSPCG} Software Package", journal = j-INT-J-NUM-METH-ENG, volume = "27", number = "3", pages = "589--608", year = "1989", bibdate = "Fri Oct 23 22:30:41 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @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 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @InProceedings{Kincaid:1989:ONNa, author = "David R. Kincaid and Thomas C. Oppe and Wayne D. Joubert", editor = "Daniel L. Boley and Donald G. Truhlar and Youcef Saad and Robert E. Wyatt and Lee A. Collins", booktitle = "Practical Iterative Methods for Large Scale Computations", title = "An Overview of {NSPCG}: {A} Nonsymmetric Preconditioned Conjugate Gradient Package", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "283--293", year = "1989", ISBN = "0-444-88023-2", ISBN-13 = "978-0-444-88023-9", LCCN = "QA297.8.M56 1988", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", note = "(Reprinted from {\em Computer Physics Communications}, 53(3):283--293, 1989.)", } @Article{Kincaid:1989:ONNb, author = "David R. Kincaid and Thomas C. Oppe and Wayne D. Joubert", title = "An Overview of {NSPCG}: a Nonsymmetric Preconditioned Conjugate Gradient Package", journal = j-COMP-PHYS-COMM, volume = "53", number = "1--3", pages = "283--293", year = "1989", CODEN = "CPHCBZ", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Fri Oct 23 22:30:41 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib", fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @InProceedings{Kincaid:1989:SPA, author = "David R. Kincaid and Thomas C. Oppe", editor = "Graham F. Carey", booktitle = "Parallel Supercomputing: Methods, Algorithms and Applications", title = "Some Parallel Algorithms on the Four Processor {Cray} {X-MP4} Supercomputer", chapter = "5", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "121--134", year = "1989", ISBN = "0-471-92436-9", ISBN-13 = "978-0-471-92436-4", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @TechReport{Kincaid: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 = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", xxauthor = "David R. Kincaid and David M. Young", } @Article{Kincaid:1990:RVP, author = "David R. Kincaid and Thomas C. Oppe", title = "Recent vectorization and parallelization of {ITPACKV}", journal = j-LECT-NOTES-MATH, volume = "1457", pages = "58--78", year = "1990", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0090902", ISBN = "3-540-53515-2 (print), 3-540-46746-7 (e-book)", ISBN-13 = "978-3-540-53515-7 (print), 978-3-540-46746-5 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", MRclass = "65F10 (Iterative methods for linear systems); 65Y05 (Parallel computation (numerical methods)); 65N22 (Solution of discretized equations (BVP of PDE)); 35-04 (Machine computation, programs (partial differential equations)); 15-04 (Machine computation, programs (linear algebra))", MRnumber = "1101629", MRreviewer = "Seymour Bachmuth", bibdate = "Fri May 9 19:07:18 MDT 2014", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; http://www.math.utah.edu/pub/tex/bib/lnm1990.bib", URL = "http://link.springer.com/chapter/10.1007/BFb0090902/", ZMnumber = "Zbl 0717.65017", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/BFb0090897", book-URL = "http://www.springerlink.com/content/978-3-540-46746-5", fjournal = "Lecture Notes in Mathematics", journal-URL = "http://link.springer.com/bookseries/304", keywords = "automatic stopping tests; Chebyshev accelerations; conjugate gradients; cyclic reduction; Fortran subroutines; ITPACKV; Jacobi method; large sparse linear systems; numerical examples; symmetric successive overrelaxation; vector and parallel computers", } @Article{Oppe:1989:ONN, author = "Thomas C. Oppe and Wayne D. Joubert and David R. Kincaid", title = "An Overview of {NSPCG}: a Nonsymmetric Preconditioned Conjugate Gradient Package", journal = j-COMP-PHYS-COMM, volume = "53", number = "1--3", pages = "283--293", month = may, year = "1989", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(89)90166-5", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 10:28:26 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib", URL = "http://www.sciencedirect.com/science/article/pii/0010465589901665", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", xxauthor = "David R. Kincaid and Thomas C. Oppe and Wayne D. Joubert", } @TechReport{Oppe:1990:TIB, author = "Thomas C. Oppe and David R. Kincaid", title = "Are There Iterative {BLAS}?", type = "Report", number = "CNA-240", institution = inst-CNA-UTA, address = inst-CNA-UTA:adr, month = feb, year = "1990", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @Book{Kincaid:1991:NA, author = "David Kincaid and Ward Cheney", title = "Numerical analysis", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "x + 690", year = "1991", ISBN = "0-534-13014-3", ISBN-13 = "978-0-534-13014-5", MRclass = "65-01, 65Dxx, 65Fxx, 65Hxx, 65Kxx, 65Lxx", MRnumber = "1099375 (92c:65002)", MRreviewer = "Carroll O. Wilde", bibdate = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", note = "Mathematics of scientific computing", acknowledgement = ack-nhfb, tableofcontents = "Mathematical preliminaries \\ Computer arithmetic \\ Solution of nonlinear equations \\ Solving systems of linear equations \\ Selected topics in numerical linear algebra \\ Approximating functions \\ Numerical differentiation and integration \\ Numerical solution of ordinary differential equations \\ Numerical solution of partial differential equations \\ Linear programming and related topics", } @Book{Kincaid:1991:NAM, author = "David (David Ronald) Kincaid and E. W. Cheney", title = "Numerical Analysis: Mathematics of Scientific Computing", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "viii + 690", year = "1991", ISBN = "0-534-13014-3", ISBN-13 = "978-0-534-13014-5", LCCN = "QA297 .K563 1990", MRclass = "65-01, 65Dxx, 65Fxx, 65Hxx, 65Kxx, 65Lxx", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", URL = "http://www.zentralblatt-math.org/zmath/en/search/?an=0745.65001", ZMnumber = "0745.65001", subject = "Numerical analysis; Analisis numerico; Procesamiento de datos; Analyse num{\'e}rique; Numerical analysis.; Numerieke wiskunde.; Analise Numerica.; Matematica.; An{\'a}lisis num{\'e}rico.", tableofcontents = "Mathematical preliminaries \\ Computer arithmetic \\ Solution of nonlinear equations \\ Solving systems of linear equations \\ Selected topics in numerical linear algebra \\ Approximating functions \\ Numerical differentiation and integration \\ Numerical solution of ordinary differential equations \\ Numerical solution of partial differential equations \\ Linear programming and related topics", } @InProceedings{Kincaid:1991:PI, author = "David R. Kincaid and Malathi Ramdas", editor = "J. J. H. Miller and R. Vichnevetsky", booktitle = "{IMACS '91}: Proceedings of the 13th {IMACS} World Congress on Computational and Applied Mathematics", title = "Paralleling {ITPACKV 2D}", volume = "2", publisher = pub-CRITERION, address = pub-CRITERION:adr, pages = "686--687", year = "1991", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @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 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @TechReport{Ramdas:1991:PIC, author = "Malathi Ramdas and David R. Kincaid", title = "Parallelizing {ITPACKV} {2D} for the {Cray} {Y-MP}", type = "Report", number = "CNA-249", institution = inst-CNA-UTA, address = inst-CNA-UTA:adr, month = feb, year = "1991", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @Article{Santiago:1991:UCR, author = "Marilyn Santiago and David R. Kincaid", title = "Using Cyclic Reduction on a Parallel Computer to Improve the Performance of an Underwater Sound Implicit Finite Difference Model", journal = j-COMP-MATH-APP, volume = "21", number = "5", pages = "83--94", year = "1991", bibdate = "Fri Oct 23 22:30:41 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", fjournal = "Computers in Mathematical Applications", } @InProceedings{Kincaid:1992:ISPa, author = "David R. Kincaid and Matthew D. Fassiotto", editor = "D. Knight {R. Vichnevetsky} and G. Richter", booktitle = "Advances in Computer Methods for Partial Differential Equations", title = "{ITPACK} Software and Parallelization", volume = "VII", publisher = pub-IMACS, address = pub-IMACS:adr, pages = "425--430", year = "1992", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @TechReport{Kincaid:1992:ISPb, author = "David R. Kincaid and Matthew D. Fassiotto", title = "{ITPACK} Software and Parallelization", type = "Report", number = "CNA-255", institution = inst-CNA-UTA, address = inst-CNA-UTA:adr, month = jun, year = "1992", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @InProceedings{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 = "1159716 (93d:65038)", MRreviewer = "Zden{\v{e}}k Dost{\'a}l", bibdate = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", acknowledgement = ack-nhfb, } @InProceedings{Ramdas:1992:PIC, author = "Malathi Ramdas and David R. Kincaid", title = "Parallelizing {ITPACKV $2$D} for the {Cray Y-MP}", crossref = "Beauwens:1992:IML", pages = "323--337", year = "1992", MRclass = "65F10 (Iterative methods for linear systems); 65Y05 (Parallel computation (numerical methods)); 65N12; 68Q22", MRnumber = "1159741", bibdate = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", ZMnumber = "Zbl 0785.65038", acknowledgement = ack-nhfb, keywords = "iterative algorithms; ITPACKV 2D; large sparse systems; numerical results; numerical software package; parallelization; polynomial acceleration procedure; research-oriented software; shared-memory systems; supercomputers; vector computers; vectorization", } @InProceedings{Kincaid:1993:LSS, author = "David R. Kincaid and David M. Young", title = "Linear Stationary Second-Degree Methods for Solution of Large Linear Systems", crossref = "Rassias:1993:TPO", pages = "609--629", year = "1993", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @Book{Kincaid:1993:SMN, author = "David Kincaid and Ward Cheney", title = "Solution Manual for Numerical Analysis: Mathematics of Scientific Computing", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "219", year = "1993", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @Misc{Kincaid:1993:SNA, author = "David Kincaid and Ward Cheney", title = "Software for Numerical Analysis: Mathematics of Scientific Computing", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, year = "1993", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", URL = "ftp://ftp.math.utexas.edu/pub/papers/CNA/kincaid-cheney", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib", acknowledgement = ack-nhfb, } @Book{Cheney:1994:NMC, author = "Ward Cheney and David Kincaid", title = "Numerical Mathematics and Computing", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, edition = "Third", pages = "578", year = "1994", ISBN = "0-534-20112-1", ISBN-13 = "978-0-534-20112-8", LCCN = "QA297.C426 1994", MRclass = "65-01", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @Misc{Cheney:1994:SNM, author = "Ward Cheney and David Kincaid", title = "Software for Numerical Mathematics and Computing", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, year = "1994", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", URL = "ftp://ftp.math.utexas.edu/pub/papers/CNA/cheney-kincaid", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", note = "To appear.", } @Article{Kincaid:1994:BRB, author = "David R. Kincaid", title = "Book Review: {{\booktitle{Numerical Computation Using C}} (Robert Glassey)}", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "672--673", month = "????", year = "1994", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1036166", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Mar 29 09:55:26 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/36/4; http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "December 1994", } @Article{Kincaid:1994:SSD, author = "David R. Kincaid", title = "Stationary Second-Degree Iterative Methods", journal = j-APPL-NUM-MATH, volume = "16", number = "1--2", pages = "227--237", year = "1994", CODEN = "ANMAEL", DOI = "https://doi.org/10.1016/0168-9274(94)00037-9", ISSN = "0168-9274 (print), 1873-5460 (electronic)", ISSN-L = "0168-9274", MRclass = "65F10", MRnumber = "1312862 (96c:65051)", MRreviewer = "M. S. Abou El-Seoud", bibdate = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", note = "A Festschrift to honor Professor Robert Vichnevetsky on his 65th birthday.", acknowledgement = ack-nhfb, fjournal = "Applied Numerical Mathematics. An IMACS Journal", journal-URL = "http://www.sciencedirect.com/science/journal/01689274", } @Article{Oppe:1994:TIB, author = "Thomas C. Oppe and David R. Kincaid", title = "Are There Iterative {BLAS}?", journal = j-INT-SCI-COMP-MOD, volume = "1", publisher = pub-INT-J-SERV, address = pub-INT-J-SERV:adr, pages = "??--??", year = "1994", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", note = "To appear", } @InProceedings{Young:1995:PIC, author = "David M. Young and David R. Kincaid", booktitle = "Proceedings of the {Third International Colloquium on Numerical Analysis (Plovdiv, 1994)}", title = "Parallel implementation of a class of nonstationary alternating-type methods", publisher = "VSP", address = "Utrecht", pages = "219--222", year = "1995", MRclass = "65F10 (65Y05)", MRnumber = "1455964", bibdate = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", acknowledgement = ack-nhfb, } @Book{Kincaid:1996:NAM, author = "David (David Ronald) Kincaid and E. W. Cheney", title = "Numerical analysis: mathematics of scientific computing", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, edition = "Second", pages = "xii + 804", year = "1996", ISBN = "0-534-33892-5", ISBN-13 = "978-0-534-33892-3", LCCN = "QA297 .K563 1996", MRclass = "65-01, 65Dxx, 65Fxx, 65Hxx, 65Kxx, 65Lxx, 68W30", MRnumber = "1388777 (97g:65003)", MRreviewer = "Robert F. Almgren", bibdate = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", note = "Mathematics of scientific computing", acknowledgement = ack-nhfb, tableofcontents = "Numerical Analysis: What Is It? / 1 \\ Mathematical Preliminaries / 3 \\ Introduction / 3 \\ Basic Concepts and Taylor's Theorem / 3 \\ Orders of Convergence and Additional Basic Concepts / 15 \\ Difference Equations / 28 \\ Computer Arithmetic / 37 \\ Introduction / 37 \\ Floating-Point Numbers and Roundoff Errors / 37 \\ Absolute and Relative Errors: Loss of Significance / 55 \\ Stable and Unstable Computations: Conditioning / 64 \\ Solution of Nonlinear Equations / 73 \\ Introduction / 73 \\ Bisection (Interval Halving) Method / 74 \\ Newton's Method / 81 \\ Secant Method / 93 \\ Fixed Points and Functional Iteration / 100 \\ Computing Roots of Polynomials / 109 \\ Homotopy and Continuation Methods / 130 \\ Solving Systems of Linear Equations / 139 \\ Introduction / 139 \\ Matrix Algebra / 140 \\ LU and Cholesky Factorizations / 149 \\ Pivoting and Constructing an Algorithm / 163 \\ Norms and the Analysis of Errors / 186 \\ Neumann Series and Iterative Refinement / 197 \\ Solution of Equations by Iterative Methods / 207 \\ Steepest Descent and Conjugate Gradient Methods / 232 \\ Analysis of Roundoff Error in the Gaussian Algorithm / 245 \\ Selected Topics in Numerical Linear Algebra / 254 \\ Review of Basic Concepts / 254 \\ Matrix Eigenvalue Problem: Power Method / 257 \\ Schur's and Gershgorin's Theorems / 265 \\ Orthogonal Factorizations and Least-Squares Problems / 273 \\ Singular-Value Decomposition and Pseudoinverses / 287 \\ $QR$-Algorithm of Francis for the Eigenvalue Problem / 298 \\ Approximating Functions / 308 \\ Introduction / 308 \\ Polynomial Interpolation / 308 \\ Divided Differences / 327 \\ Hermite Interpolation / 338 \\ Spline Interpolation / 349 \\ B-Splines: Basic Theory / 366 \\ B-Splines: Applications / 377 \\ Taylor Series / 388 \\ Best Approximation: Least-Squares Theory / 392 \\ Best Approximation: Chebyshev Theory / 405 \\ Interpolation in Higher Dimensions / 420 \\ Continued Fractions / 438 \\ Trigonometric Interpolation / 445 \\ Fast Fourier Transform / 451 \\ Adaptive Approximation / 460 \\ Numerical Differentiation and Integration / 465 \\ Numerical Differentiation and Richardson Extrapolation / 465 \\ Numerical Integration Based on Interpolation / 478 \\ Gaussian Quadrature / 492 \\ Romberg Integration / 502 \\ Adaptive Quadrature / 507 \\ Sard's Theory of Approximating Functionals / 513 \\ Bernoulli Polynomials and the Euler-Maclaurin Formula / 519 \\ Numerical Solution of Ordinary Differential Equations / 524 \\ Introduction / 524 \\ The Existence and Uniqueness of Solutions / 524 \\ Taylor-Series Method / 530 \\ Runge--Kutta Methods / 539 \\ Multistep Methods / 549 \\ Local and Global Errors: Stability / 557 \\ Systems and Higher-Order Ordinary Differential Equations / 565 \\ Boundary-Value Problems / 572 \\ Boundary-Value Problems: Shooting Methods / 581 \\ Boundary-Value Problems: Finite-Differences / 589 \\ Boundary-Value Problems: Collocation / 593 \\ Linear Differential Equations / 597 \\ Stiff Equations / 608 \\ Numerical Solution of Partial Differential Equations / 615 \\ Introduction / 615 \\ Parabolic Equations: Explicit Methods / 615 \\ Parabolic Equations: Implicit Methods / 623 \\ Problems Without Time Dependence: Finite-Differences / 629 \\ Problems Without Time Dependence: Galerkin Methods / 634 \\ First-Order Partial Differential Equations: Characteristics / 642 \\ Quasilinear Second-Order Equations: Characteristics / 650 \\ Other Methods for Hyperbolic Problems / 660 \\ Multigrid Method / 667 \\ Fast Methods for Poisson's Equation / 676 \\ Linear Programming and Related Topics / 681 \\ Convexity and Linear Inequalities / 681 \\ Linear Inequalities / 689 \\ Linear Programming / 695 \\ The Simplex Algorithm / 700 \\ Optimization / 711 \\ Introduction / 711 \\ One-Variable Case / 712 \\ Descent Methods / 716 \\ Analysis of Quadratic Objective Functions / 719 \\ Quadratic-Fitting Algorithms / 721 \\ Nelder--Meade Algorithm / 722 \\ Simulated Annealing / 723 \\ Genetic Algorithms / 724 \\ Convex Programming / 725 \\ Constrained Minimization / 726 \\ Pareto Optimization / 727 \\ An Overview of Mathematical Software / 731 \\ Bibliography / 745 \\ Index / 771", } @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 = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", note = "TICAM Symposium (Austin, TX, 1995)", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", } @Article{Kincaid:1997:BRA, author = "David R. Kincaid", title = "Book Review: {Afternotes on Numerical Analysis}, by {G. W. Stewart}", journal = j-SIAM-REVIEW, volume = "39", number = "1", pages = "153--153", month = mar, year = "1997", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; http://www.siam.org/journals/sirev/sirev391.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", } @Article{Kincaid:1998:CWI, author = "David R. Kincaid and Anne C. Elster", title = "Conferences \& Workshops: {Iterative Methods Symposium Honors David M. Young, Jr.}", journal = j-IEEE-COMPUT-SCI-ENG, volume = "5", number = "4", pages = "12--15", month = oct # "\slash " # dec, year = "1998", CODEN = "ISCEE4", ISSN = "1070-9924 (print), 1558-190X (electronic)", ISSN-L = "1070-9924", bibdate = "Sat Jan 9 08:57:23 MST 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", URL = "http://dlib.computer.org/cs/books/cs1998/pdf/c4011.pdf", acknowledgement = ack-nhfb, fjournal = "IEEE Computational Science \& Engineering", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=99", } @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", month = dec, 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 = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.kluweronline.com/issn/1017-1398; http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", note = "Numerical methods for partial differential equations (Marrakech, 1998)", URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/20/12/abstract.htm; http://ipsapp007.kluweronline.com/content/getfile/5058/20/12/fulltext.pdf", acknowledgement = ack-nhfb, 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\slash 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 = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", acknowledgement = ack-nhfb, fjournal = "Taiwanese Journal of Mathematics", } @Article{Chronopoulos:2001:OIM, author = "Anthony T. Chronopoulos and David Kincaid", title = "On the {Odir} iterative method for non-symmetric indefinite linear systems", journal = j-NUM-LIN-ALG-APPL, volume = "8", number = "2", pages = "71--82", year = "2001", CODEN = "NLAAEM", DOI = "https://doi.org/10.1002/1099-1506(200103)8:2<71::AID-NLA230>3.3.CO%3B2-Y", ISSN = "1070-5325 (print), 1099-1506 (electronic)", ISSN-L = "1070-5325", MRclass = "65F10 (15A06)", MRnumber = "1812025 (2001j:65049)", MRreviewer = "S{\'a}ndor Frivaldszky", bibdate = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", acknowledgement = ack-nhfb, fjournal = "Numerical Linear Algebra with Applications", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506", } @InProceedings{Kincaid:2001:GGI, author = "David R. Kincaid and Jen-Yuan Chen and David M. Young", booktitle = "Numerical analysis and its applications ({Rousse}, 2000)", title = "A generalized {GMRES} iterative method", volume = "1988", publisher = pub-SV, address = pub-SV:adr, pages = "475--481", year = "2001", DOI = "https://doi.org/10.1007/3-540-45262-1_55", MRclass = "65F10", MRnumber = "1938441", bibdate = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", series = ser-LNCS, acknowledgement = ack-nhfb, } @Article{Kincaid:2001:RPM, author = "David R. Kincaid and Graham F. Carey", title = "Research on parallel methods, algorithms, and software at the {University of Texas at Austin}", journal = "Mat. Model.", volume = "13", number = "3", pages = "11--21", year = "2001", ISSN = "0234-0879", MRclass = "65-02", MRnumber = "1862293", bibdate = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", acknowledgement = ack-nhfb, fjournal = "Rossi\u\i skaya Akademiya Nauk. Matematicheskoe Modelirovanie", } @Article{Al-Kurdi:2002:PVP, author = "Ahmad Al-Kurdi and R. C. Mittal and David R. Kincaid", title = "Performance of various preconditioned {$ {\rm GCR}(k) $} algorithms applied to sparse nonsymmetric linear systems", journal = "Internat. J. Appl. Sci. Comput.", volume = "9", number = "1", pages = "11--31", year = "2002", ISSN = "1089-0025", MRclass = "65F10", MRnumber = "1957429", bibdate = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Applied Science and Computations", } @Book{Kincaid:2002:NAM, author = "David (David Ronald) Kincaid and E. W. (Elliott Ward) Cheney", title = "Numerical analysis: mathematics of scientific computing", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, edition = "Third", pages = "xiv + 788", year = "2002", ISBN = "0-534-38905-8", ISBN-13 = "978-0-534-38905-5", LCCN = "QA297 .K563 2002", bibdate = "Thu Sep 25 08:38:38 MDT 2014", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; http://www.math.utah.edu/pub/tex/bib/numana2000.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "Numerical analysis", tableofcontents = "Mathematical preliminaries \\ Computer arithmetic \\ Solution of nonlinear equations \\ Solving systems of linear equations \\ Selected topics in numerical linear algebra \\ Approximating functions \\ Numerical differentiation and integration \\ Numerical solution of ordinary differential equations \\ Numerical solution of partial differential equations \\ Linear programming and related topics \\ Optimization", } @Article{Pilipchuk:2002:ASL, author = "Ludmila A. Pilipchuk and Yulia V. Malakhouskaya and David R. Kincaid and Minghorng Lai", title = "Algorithms of solving large sparse underdetermined linear systems with embedded network structure", journal = "East-West J. Math.", volume = "4", number = "2", pages = "191--201", year = "2002", ISSN = "1513-489X", MRclass = "65F50 (05C85 65F05)", MRnumber = "2034459 (2005a:65045)", MRreviewer = "Zahari Zlatev", bibdate = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", acknowledgement = ack-nhfb, fjournal = "East-West Journal of Mathematics", } @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 = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", note = "5th IMACS Conference on Iterative Methods in Scientific Computing (Heraklion, 2001)", acknowledgement = ack-nhfb, fjournal = "Applied Numerical Mathematics. An IMACS Journal", journal-URL = "http://www.sciencedirect.com/science/journal/01689274", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; http://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, } @Article{Al-Kurdi:2006:DIR, author = "Ahmad Al-Kurdi and David R. Kincaid", title = "{$ L U $}-decomposition with iterative refinement for solving sparse linear systems", journal = j-J-COMPUT-APPL-MATH, volume = "185", number = "2", pages = "391--403", year = "2006", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/j.cam.2005.03.018", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "65F05 (65F50)", MRnumber = "2169072 (2006h:65038)", MRreviewer = "Joaqu{\'\i}m J. J{\'u}dice", bibdate = "Wed Sep 22 06:46:52 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", } @Book{Kincaid:2009:NAM, author = "David (David Ronald) Kincaid and E. W. (Elliott Ward) Cheney", title = "Numerical analysis: mathematics of scientific computing", volume = "2", publisher = pub-AMS, address = pub-AMS:adr, edition = "Third", pages = "xiv + 788", year = "2009", ISBN = "0-8218-4788-0", ISBN-13 = "978-0-8218-4788-6", LCCN = "QA297 .K563 2009", bibdate = "Thu Sep 25 08:41:42 MDT 2014", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; http://www.math.utah.edu/pub/tex/bib/numana2000.bib; z3950.loc.gov:7090/Voyager", series = "The Sally series; Pure and applied undergraduate texts", URL = "http://www.loc.gov/catdir/toc/fy0906/2008047389.html", abstract = "This book introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with appropriate motivations and careful proofs.\par In an engaging and informal style, the authors demonstrate that many computational procedures and intriguing questions of computer science arise from theorems and proofs. Algorithms are presented in pseudocode, so that students can immediately write computer programs in standard languages or use interactive mathematical software packages. This book occasionally touches upon more advanced topics that are not usually contained in standard textbooks at this level.", acknowledgement = ack-nhfb, remark = "Originally published: 3rd ed. Pacific Grove, CA : Brooks/Cole, 2002.", remark = "Originally published: 3rd ed. Pacific Grove, CA : Brooks/Cole, c2002.", subject = "Numerical analysis", subject = "Numerical analysis; Wissenschaftliches Rechnen.; Numerische Mathematik.; Numerische Mathematik.; Numerical analysis.", tableofcontents = "1. Mathematical Preliminaries \\ 2. Computer Arithmetic \\ 3. Solution of Nonlinear Equations \\ 4. Solving Systems of Linear Equations \\ 5. Selected Topics in Numerical Linear Algebra \\ 6. Approximating Functions \\ 7. Numerical Differentiation and Integration \\ 8. Numerical Solution of Ordinary Differential Equations \\ 9. Numerical Solution of Partial Differential Equations \\ 10. Linear Programming and Related Topics \\ 11. Optimization \\ Appendix A. Overview of Mathematical Software", } @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://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib; http://www3.interscience.wiley.com/journalfinder.html", 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, 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://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib; http://www3.interscience.wiley.com/journalfinder.html", acknowledgement = ack-nhfb, fjournal = "Numerical Linear Algebra with Applications", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506", onlinedate = "27 Jan 2010", } @Article{Li:2014:SGM, author = "Yu-Chien Li and Jen-Yuan Chen and David R. Kincaid", title = "Some Generalizations and Modifications of Iterative Methods for Solving Large Sparse Symmetric Indefinite Linear Systems", journal = j-ABSTR-APPL-ANAL, pages = "11", year = "2014", ISSN = "1085-3375 (print), 1687-0409 (electronic)", ISSN-L = "1085-3375", MRclass = "65F10", MRnumber = "3200771", bibdate = "Thu Sep 25 08:48:10 2014", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", note = "Article ID 237808.", acknowledgement = ack-nhfb, ajournal = "Abstr. Appl. Anal.", fjournal = "Abstract and Applied Analysis", }

%%% ==================================================================== %%% Cross-referenced entries must come last:

@Proceedings{Birkhoff:1984:EPS, editor = "Garrett Birkhoff and Arthur L. Schoenstadt", booktitle = "{Elliptic problem solvers II: 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}", title = "{Elliptic problem solvers II: 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}", publisher = pub-AP, address = pub-AP:adr, pages = "xiii + 573", year = "1984", ISBN = "0-12-100560-7", ISBN-13 = "978-0-12-100560-3", LCCN = "QA377 .E533 1983", bibdate = "Wed Sep 22 08:45:18 MDT 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, editor-dates = "Garrett Birkhoff (1911--1996)", subject = "differential equations, elliptic; numerical solutions; congresses", } @Proceedings{Engquist:1984:PSM, editor = "Bj{\"o}rn Engquist and Tom Smedsaas and N. N. (Nikola{\u\i} Nikolaevich) Yanenko", 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-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "ix + 453", year = "1984", ISBN = "0-444-87620-0", ISBN-13 = "978-0-444-87620-1", LCCN = "QA377 .I44 1983", bibdate = "Wed Sep 22 08:49:12 MDT 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, remark = "Dedicated to the memory of N.N. Yanenko.", subject = "differential equations, partial; computer programs; congresses; numerical solutions", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; http://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-AP, address = pub-AP: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 = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; http://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, } @Proceedings{Beauwens:1992:IML, editor = "R. (Robert) Beauwens and P. (Pieter) {De Groen}", booktitle = "{Iterative methods in linear algebra: proceedings of the ImACS International Symposium on Iterative Methods in Linear Algebra, Brussels, Belgium, 2-4 April, 1991}", title = "{Iterative methods in linear algebra: proceedings of the ImACS International Symposium on Iterative Methods in Linear Algebra, Brussels, Belgium, 2-4 April, 1991}", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "xiii + 636", year = "1992", ISBN = "0-444-89248-6", ISBN-13 = "978-0-444-89248-5", LCCN = "QA184 .I44 1991", bibdate = "Wed Sep 22 08:54:42 MDT 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, meetingname = "IMACS International Symposium on Iterative Methods in Linear Algebra (1991 : Brussels, Belgium)", remark = "A symposium organized jointly by the International Association for Mathematics and Computers in Simulation and by the Free Universities of Brussels.", subject = "Algebras, Linear; Congresses; Iterative methods (Mathematics)", } @Book{Rassias:1993:TPO, editor = "Th. M. Rassias and H. 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 = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; http://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, 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{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; http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib; http://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.", 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", }

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