Mathematics
and Computer Science Speaker Series
California State University, Stanislaus
Date: Friday, November 19, 2010
Time: 4:00 - 5:00 p.m
Room: P-164
Speaker: Michael Bice
Title: Multigrid Methods for Approximating Solutions of Partial
Differential Equations II
Abstract: The approximation of solutions of partial
differential equations is a major field of research in numerical
analysis. Finite difference and volume schemes are among the most
common of the techniques used to obtain these approximations. The
ability of these methods to produce accurate results is hindered by a
relationship known as the Courant-Friedrichs-Lewy condition, which
imposes a limit on the time step used to advance the numerical solution
based on the spatial step in the discretization. In recent years,
multigrid methods have been developed to circumvent this restriction by
transferring information to a grid whose spatial step is larger,
allowing for a larger time step. In this talk, I will introduce
how multigrid methods are used to approximate solutions of
time-dependent PDEs, focusing specifically on their use in solving
hyperbolic conservation laws.