MA 625: Numerical Methods for Differential Equations Spring, 1999

Section of Professor C. C. Douglas

Class Meets on Tuesdays and Thursdays from 14:00 to 15:15 in McVey 327

Syllabus

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

Multigrid

I have placed two sets of transparencies online:

• A lecture from a 1998 trip to Taiwan.
• A minicourse that I taught in 1992 at LNCC, then in Rio de Janeiro.

The theory that will be in the lectures is from 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.

An excellent place to look for information about multigrid, including tutorials, papers, virtual proceedings, codes, and more is MGNet. An interesting simple code is one by Steve McCormick.

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	Comments
1	1	Februrary 2	a1.html
2	1	Februrary 11	a2.html
3	1	Februrary 25	a3.html
4	1	March 11	a4.html
5	1	March 25	a5.html
6	1	April 8	a6.html
7	2-2.5	April 29	a7.html

Cheers,
Craig C. Douglas

Previous course web pages: 1998 1997