Finite element method for elliptic partial differential equations; weak formulation; finite-dimensional approximations; error bounds; algorithmic issues; solving sparse linear systems; finite element method for parabolic partial differential equations; backward difference and Crank-Nicolson time-stepping; introduction to finite difference methods for elliptic, parabolic, and hyperbolic equations; stability, consistency, and convergence; discrete maximum principles.

Usually Offered:	Spring
Credit:	3 hours (class)
Prerequisite:	CS 514 and MA 523
University Catalog:	CS 615
Schedule:	Spring 2005 Instructor: Bradley J. Lucier