MCS 471 Supplementary References

• Supplementary Texts:

  • R. E. White, Computational Numerical Analysis: Methods and Analysis in UCES, Undergraduate Computational Engineering and Science (UCES) online HTML text, 1994.

  • W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery, Numerical Recipes in Fortran (or in C or in Pascal): The Art of Scientific Computing, 2nd Ed., Cambridge University Press, 1992. (This handbook comes in several versions: in Fortran, in C, in Basic, and in Pascal, and there are also Example Books, and Diskettes of codes given in the text;

    1. QA297.N866 1992 Math Lib for Fortran;
       Important Notice:
       To Get Postscript Copy of "Numerical Recipes in Fortran":
       Click on Numerical Recipes Home Page and go to the BOOKS On-Line link.
       However, you have to buy a single-site license to use the NR/C software.

    2. QA76.73.C15 N865 1992 Main Lib for C;
       Important Notice:
       To Get Postscript Copy of "Numerical Recipes in C":
       Click on Numerical Recipes Home Page and go to the BOOKS On-Line link.
       However, you have to buy a single-site license to use the NR/C software.

  • W. Cheney and D. Kincaid, Numerical Mathematics and Computing, 3rd Edition, Brooks/Cole Publishing, 1994. (QA297.C426 1994 MathLib)

  • G. E. Forsythe, M. A. Malcolm and C. B. Moler, Computer Methods For Mathematical Computations, Prentice Hall, 1977. (QA297.F568 MathLib)

  • J. R. Rice, Numerical Methods, Software, and Analysis, McGraw-Hill, 1983. (QA297.R49 1983b Math Lib Reserve)

  • J. Stoer and R. Bulirsch, Introduction to Numerical Analysis, Springer-Verlag, 1980. (QA297.S8213 Math Lib)

  • James M. Ortega and Andrew S. Grimshaw, C++ and Numerical Methods: An Introduction, Oxford U. Press, 1999.
  
  
  

• Web OnLine Courses (free):

  • W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery, Numerical Recipes On-Line (Sorry, Software is NOT Free.)

  • Professor G. W. Stewart, Afternotes on Numerical Analysis, Computer Science, University of Maryland, 1993;
    {Remark: Sorry, but since these notes have been published by SIAM: (Click Here for the SIAM Catalog Page and Description for the Book) , they are no longer available online.}

  • Dr. Aharon Naiman, A Survey of Matrix Algorithms, Computer Science, University of Maryland, December 1995; the contents of the directory are PostScritp files:
    1. 01mat.ps: Matrices, Algebra, and Analysis
    2. 02mam.ps: Matrices and Machines
    3. 03gau.ps: Gaussian Elimination
    4. 99ref.ps: References
    5. README

  • Dr. N. J. Higham, Recent Developments in Dense Numerical Linear Algebra (Click Here for Compressed (gz) Postscript Copy), Manchester Centre for Computational Mathematics Report No. 288, 26 pages, May 1996.

  • Professors Stephen Boyd and Lieven Vandenberghe, EE392X: Introduction to Convex Optimization with Engineering Applications , Department of Electrical Engineering, Stanford University, 28 July 1955. (Lecture notes (transparency copies) of optimization course).

  • Professor W. Kahan, Lecture Notes on the Status of IEEE Standard 754 for Binary Floating Point Arithmetic, EECS, University of California, Berkeley, September 1995. (Lecture Notes of a World Expert on the Topic).

  • Computational Science and Engineering Project, a US DOE international project, 1995. (One of the most extensive collection of course notes.)
    • CSEP Fortran 90 and Computational Science.
    • CSEP Ordinary Differential Equations .
    • CSEP "Parallel" Numerical Linear Algebra Book Chapter, text by Jim Demmel, Mike Heath and Henk van der Horst, Computational Science and Engineering Project, an international project, 1995. (Very comprehensive; recommended.)
    • CSEP Random Number Generators.
    • CSEP Introduction to Monte Carlo Methods.
    • CSEP Mathematical Optimization.
    • CSEP Some HPC Issues in Partial Differential Equations - Part 2.
    • CSEP Scientific Visualization In High Performance Computing.
    • CSEP Tutorials for Parallel Platforms.
    • CSEP Computer Architecture.
    • CSEP Case Studies in Computational Science.

  • CPS 615 Introduction to Computational Science: Computational Techniques for Scientific and Engineering Problems, Professors Geoffrey Fox and Nancy McCracken, Syracuse University, Spring 1994. (Parallel Computing, Numerical ODE, Numerical PDE, Matrix Techniques, Optimization; not all slides available.)