CMSC 38300
Numerical Solutions to PDEsPrerequisites: Consent of instructor.
Catalog Description: This course covers the basic mathematical theory behind numerical solution of partial differential equations. We investigate the convergence properties of finite element, finite difference and other discretization methods for solving partial differential equations, introducing Sobolev spaces and polynomial approximation theory. We emphasize error estimators, adaptivity, and optimal-order solvers for linear systems arising from PDEs. Special topics include PDEs of fluid mechanics, max-norm error estimates, and Bananch-space operator-interpolation techniques.
Instructors: T. Dupont, L.R. ScottQuarter offered: Spring
Last Verified by Sharon Salveter on 8 April, 2003.