MA 625: Numerical Methods for Differential Equations Spring, 1998

Section of Professor C. C. Douglas

Class Meets on Tuesdays and Thursdays from 11:00 to 12:15 in McVey 327

Syllabus

Please consult the syllabus, which is online. If you are curious, the Ombud sent the faculty a long list of the required material that is supposed to be in the syllabus (I scanned the original, which fits on 2 sides of a piece of paper).

Multigrid

I have places a long set of transparencies online. This is based on a minicourse that I taught in 1992 at LNCC in Rio de Janeiro. This is just one approach to multigrid. The theory that will be in the lectures is based out of papers that appeared in SIAM Journal on Numerical Analysis.

• C. C. Douglas, Multi-grid algorithms with applications to elliptic boundary-value problems, SIAM J. Numer. Anal., 21 (1984), pp. 236-254.
• R. E. Bank and C. C. Douglas, Sharp estimates for multigrid rates of convergence with general smoothing and acceleration, SIAM J. Numer. Anal., 22 (1985), pp. 617-633.
• W. Hackbusch, Multigrid Methods and Applications, Springer-Verlag, Berlin, 1985.
• P. Wesseling, An Introduction to Multigrid Methods, John Wiley & Sons, Chichester, 1992.

Homework Assignments

The assignments will be online, too. Many of the assignments will be from the text. Below is a cumulative list of what has been assigned and when they are or were due:

Assignment	Weight	Due	Link
1	1	February 5 and 17	a1.html
2	1	March 5	a2.html
3	1	March 24	a3.html
4	1	March 26	a4.html
5	2	April 16	a5.html
6	2	April 30	a6.html

Cheers,
Craig C. Douglas