Numerical Analysis Seminar

March 31, 2004

Speaker: Vidar Thomee
Chalmers University of Technology
Title: A parallel method for some evolution problems based on Laplace transformation and quadrature
Time: 3:00-4:00 pm
Place: Blocker 503

Abstract

We consider first the discretization in time of a parabolic equation, using a representation of the solution as an integral along a smooth curve the complex left half plane. The integral is then evaluated to high accuracù by a quadrature rule. This reduces the problem to a finite set of elliptic equations with complex coefficients, which may be solved in parallel. The procedure is combined with finite element discretization in the spatial variables. The method is then also applied to some parabolic type evolution equations with memory.

Numerical Analysis Seminars
Last revised Feb 12, 2004. mail to Webmaster