David R. Kincaid, Ph.D. Institute for Computational Engineering and Sciences Department of Computer Sciences Department of Mathematics The University of Texas at Austin

Institute for Computational Engineering and Sciences
University of Texas at Austin
1 University Station C0200
Austin, TX 78712
Office: RLM 13.158
Tel: (512) 232-6193
Fax: (512) 471-8694
Email: kincaid@cs.utexas.edu
Web Page: http://www.cs.utexas.edu/users/kincaid

B.S., Lamar University, 1965
M.A., The University of Texas at Austin, 1967
Ph.D., The University of Texas at Austin, 1971

• Certificate of Recognition, "Creative Developments of a Technical Innovation: Basic Linear Algebra Subprograms," NASA, 1981.
  C. L. Lawson, R. J. Hanson, D. R. Kincaid, R. T. Krogh, "Basic Linear Algebra Subprograsms for Fortran Usage," ACM Transactions on Mathematical Software, Vol. 5, No. 3, September 1979, Pages 308-323.
• IMACS International Technical Committee, Computational Linear Algebra, 1994-2007.

• Parallel Scientific Computing
• Numerical Analysis/Methods

Research interests focus on the development and implementation of numerical algorithms and software for parallel computers. Of concern are iterative algorithms to solve systems of linear algebraic equations with large sparse coefficient matrices. Such systems arise in numerical applications involving the solution of partial differential equations.

• Ward Cheney and David Kincaid, Numerical Mathematics and Computing, 6th Edition . Thomson * Brooks/Cole, 2008, 763 pp. ISBN-13: 978-0-495-11475-8 .
• Ward Cheney and David Kincaid, Linear Algebra: Theory and Applications . Jones Barlett, 2008, 740 pp. ISBN-13: 978-0-763-750204 .
• David Kincaid and Ward Cheney, Numerical Analysis: Mathematics of Scientific Computing, 3rd Edition . Brooks/Cole, Pacific Grove, CA, 2002, 817 pp. ISBN 0-534-38905-8
• Ward Cheney and David Kincaid,
• David R. Kincaid and Anne C. Elster (editors). Iterative Methods in Scientific Computations IV. IMACS Series in Computational and Applied Mathematics, Volume 5, IMACS, New Brunswick, NJ, 1999, 482 pages + xxii, ISSN: 1098--870X.
• David R. Kincaid and Linda J. Hayes (eds.), Iterative Methods for Large Linear Systems, Academic Press, NY, 1990, 319 pp. ISBN 0-12-4074775-8

• Al-Kurdi, Ahmad, and David R. Kincaid, "LU-decompostion with iterative refinement for solving sparse linear systems," Journal of Computational and Applied Mathematics, 185 (2006) 391-403.
• Richard J. Hanson and David R. Kincaid, Notes of GMRES Algorithm Organization, Technical Report TR-05-05, Computer Sciences Department, University of Texas at Austin, March 05, 2005. GMRES Web page
• David R. Kincaid, "Celebrating Fifty Years of David M. Young's Successive Overrelaxation Iterative Method," Numerical Mathematics and Advanced Applications, M. Feistauer, V. Dolejsi, P. Knobloch, K. Najzar (Eds.), Springer-Verlag, Berlin Heidelberg, 2004, pp. 549-558.
• Pilipchuk, Ludmila A., Yulia V. Malakhouskaya, David R. Kincaid, and Minghorng Lai, "Algorithms for Solving Large Sparse Underdetermined Linear Systems with Embedded Network Structures," East-West Mathematical Journal, Vol. 4, No. 2 (2002) 191-201.
• Kincaid, David R., David M. Young, and Jen-Yuan Chen, "Variations of the GMRES Iterative Method," Applied Numerical Mathematics (APNUM), 45 (2003) 3-10.
• Al-Kurdi, Ahmad, R. C. Mittal, and David R. Kincaid, "Performance of Various Preconditioned GCR(k) Algorithms Applied to Sparse Nonsymmetric Linear Systems," International Journal of Applied Science & Computations, Vol. 9, No. 1, April 2002, pp. 11-31.
• David R. Kincaid and Graham F. Carey, "Research on parallel methods, algorithms, and software at The University of Texas at Austin," Journal of Russian Academy of Science: Mathemtical Modelling, (Academician A.A. Samarskii, editor-in-chief), Vol. 13, No. 3, pp. 11-21, 2001.
• Anthony T. Chronopoulos and David Kincaid, "On the Odir iterative method for non-symmetric indefinite linear systems," Numerical Linear Algebra with Applications 8:71-82, 2001.
• David R. Kincaid, Jen-Yuan Chen, and David M. Young, "A Generalized GMRES Iterative Method," in Numerical Analysis and Its Applications , L. Vulkuo, J. Wasniewski, and P. Yalamov (editors): NAA 2000, Lecture Notes in Computer Science 1988, pp. 475-481, Springer-Verlag, Berlin 2001.
• David R. Kincaid, "David M. Young's Work on Iterative Methods," in International Conference on Mathematical Modeling, yBani Singh, U. S. Gupta, G. S. Srivastqava, T. R. Gulati, V. K Katiyar (editors), pp. 375-382, TATA McGraw-Hill, New Delhi, 2001.
• David R. Kincaid, David M. Young, and Jen-Yuan Chen, "An Overview of MGMRES and LAN/MGRES Methods for Solving Nonsymmetric Linear Systems," Taiwanese Journal of Mathematics, Vol. 4, No. 3, pp. 385-396, September 2000.
• David R. Kincaid, David M. Young, Jen-Yuan Chen, "An Overview of GGMRES and LAN/MGMRES Methods for Solving Nonsymmetric Systems," in Proceedings of the Mathematics Conference at Fu Jen Catholic University, Chung-Tsun Shieh, Kang C. Jea, and Tsing-Hen Ho (editors), 402-412, 2000.
• David M. Young and David R. Kincaid. "Partial differential equations," in Encyclopedia of Computer Science, 4th Edition. Anthony Ralston, Edwin D. Reilly, and David Hemmendinger (editors), Nature Publishing Group, New York, 2000, 1367-1370, ISBN 0-333-77879-0.

15 Aug 08