Computational and Applied Math Proseminar

Department of Mathematics, Arizona State University

Friday, October 2, 1998, 10:40 a.m. in GWC Room 604

K.-L. Tse

Department of Mathematics

Spectral single and multi-domain method for penetrative convection problem and problems with infinite domain

Abstract The penetrative convection problem with infinite domain is simulated by spectral method. Both Hermite functions and Chebyshev polynomials with algebraic mapping are used and compared. The domain is then decomposed vertically into several subdomains. Collocation method with adaptive boundary generation is then used. From the test problem, the last method is most efficient without much sacrifice of accuracy. The computer code for the penetrative convection problem is parallelized and the method of parallelization will also be discussed.

For further information please contact: mittelmann@asu.edu