Math 542 - Numerical Computing
                           Spring 1994
                           Kris Stewart

This course will present an overview at the Undergraduate Level
of numerical computing, with a focus on solving differential
equations.

Prerequisite:  Math 541 - Introduction to Numerical Analysis
               Some prior knowledge of Differential Equations
               Math 107 - or some programming background in
                          Fortran or C

Textbook: Scientific Computing and Differential Equations:
          An Introduction to Numerical Methods
          by Gene H. Golub and James M. Ortega
          Academic Press, 1992

Recommended Auxilliary Books:

          Numerical Methods and Software
          by Kahaner, Moler and Nash (Prentice Hall, 1989)

          An Introduction to Numerical Analysis (2nd Ed)
          by Kendall E. Atkinson (Wiley, 1989)

          Scientific Computing
          An Introduction with Parallel Computing
          by Golub and Ortega (Academic Press, 1993)

Office Hours:  MW noon-2
               Best way to contact me is via electronic mail:

                           elm stewart

               from ucssun1 (or saturn)

                       elm stewart@sdsu.edu

               to send me mail from other machines

Computing platform:  Matlab on UCSSUN1
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Topics to be Covered:

Week 1 - Introduction to the Internet and how to use effectively

         o The global computing community relies heavily on the
           Internet to exchange information, news and current
           research.  This class will use electronic mail for
           turning in all assignments.

              Electronic mail review (using elm)
              Information sources (using gopher and telnet)
              Multimedia sources (using NCSA Mosaic)

         o Introduction to the San Diego Supercomputer Center

           Vector processing using the Cray C98
           Parallel processing using the Intel Paragon

         o Introduction to MATLAB (Student Edition as well as
           Visualization version (4.1) on ucssun1)

Week 2 - The World of Scientific Computing (Chap. 1 Golub/Ortega)

Weeks 3 - Initial Value Problems in Ordinary Differential
to 5      Equations (Chapter 2)

Weeks 6 - Boundary Value Problems in ODEs (Chapter 3)
and 7

Week 8 - Review of Linear Systems of Equations (Chapter 4)

Week 9 - Life is Nonlinear (Chapter 5)

Weeks 10 - Partial Differential Equations (Chapters 8 and 9)
to 15      Additional supplements made available by instructor

There will be four computational experiments (75% grade):

        a) initial value solving - nonstiff problem and stiff
                                   problem

        b) shooting method for BVP/ODE

        c) method of lines solution of parabolic PDE

        d) iterative solution of elliptic PDE

        Problem statements will be handed out in class.
        Solutions will involve writing a report documenting
        results.

There will be a takehome midterm (25% grade).