AOSS 555
CHEBYSHEV & FOURIER
SPECTRAL METHODS

Introduction to Fourier, Chebyshev polynomial, and spherical harmonic
 algorithms for boundary value, eigenvalue, and time-dependent problems
 with an emphasis on fluid mechanics.
	Implicit, semi-implicit and fractional steps ("splitting") time-marching.
	Matrix-solving by multigrid, preconditioned Richardson's 
iteration and Minimum Residual Richardson's method.
	Strategies for shock waves, filters and dealiasing.

Text: Chebyshev & Fourier Spectral Methods by J. P. Boyd, 
2d. edition (Dover, 2000).

Homework: (1) Written problem sets
(2) Computer problems, which may be completed in the 
language of the student's choice including 
FORTRAN, Matlab, Maple, or C

Hours: Tentatively MWF at 2:30-3:30, but this can be changed 
to suit the audience.

Credits: 4, although there are only 3 lectures per week. 
(The extra credit is for the computer problems.)

	Please contact Prof. Boyd at jpboyd@umich.edu or 764-3338 
if you are interested in taking (or auditing) this course and 
furnish him with the times of your other courses, if any, 
or attend the organizational meeting/first lecture:
WEDNESDAY, Jan. 5, at 2:30
in SRB 2246

Prof. John P. Boyd
1535 Space Physics Building
Phone: 764-3338
email: jpboyd@engin.umich.edu:
http:\\www-personal.engin.umich.edu:/~jpboyd/