Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1139881 | Mathematics and Computers in Simulation | 2009 | 11 Pages |
Abstract
This paper examines the dispersive properties of multisymplectic discretizations of linear and nonlinear PDEs. We focus on a leapfrog in space and time scheme and the Preissman box scheme. We find that the numerical dispersion relations are monotonic and determine the relationship between the group velocities of the different numerical schemes. The group velocity dispersion is used to explain the qualitative differences in the numerical solutions obtained with the different schemes. Furthermore, the numerical dispersion relation is found to be relevant when determining the ability of the discretizations to resolve nonlinear dynamics.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
C.M. Schober, T.H. Wlodarczyk,