| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4633240 | Applied Mathematics and Computation | 2009 | 12 Pages |
Abstract
The central box scheme has been the most successful of the multisymplectic integrators for Hamiltonian PDEs. In this paper, we investigate conservative properties of the central box scheme for Hamiltonian PDEs and derive the error formulas of discrete local and global conservation laws of energy and momentum. We apply these results to the nonlinear Schrödinger equation and Klein-Gordon equation. Numerical experiments are presented to verify the theoretical predications.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jian Wang,