Friday,
December 8, 1:40 p.m. GWC 487
Positive Schemes for Hyperbolic Systems of Conservation Laws
Abstract
Friedrichs has constructed positive difference schemes for solving
linear symmetric hyperbolic systems in any number of space dimensions. Such
schemes are very stable, but they are only of first ordeer accuracy.By using
a nonlinear switch between a second order and a first order scheme one can
construct positive second order schemes of good accuracy.
Hyperbolic systems of conservation laws that have a positive entropyy
are symmetric and can be solved approximately by positive schemes;
numerical experiments show excellent results for computing complicated
flows.
This is joint work with Xu-Dong Liu.
For further information please contact:
mittelmann@asu.edu