Abstract
In this paper, based on the multi-symplecticity of concatenating symplectic Runge-Kutta-Nyström (SRKN) methods and symplectic Runge-Kutta-type methods for numerically solving Hamiltonian PDEs, explicit multi-symplectic schemes are constructed and investigated, where the nonlinear wave equation is taken as a model problem. Numerical comparisons are made to illustrate the effectiveness of our newly derived explicit multi-symplectic integrators. © 2007 Global-Science Press.
| Original language | English |
|---|---|
| Pages (from-to) | 662-683 |
| Journal | Communications in Computational Physics |
| Volume | 2 |
| Issue number | 4 |
| Online published | 15 Jan 2007 |
| Publication status | Published - Aug 2007 |
| Externally published | Yes |
Research Keywords
- Hamiltonian wave equations
- multi-symplectic integration
- symplectic Rung-Kutta-Nyström methods
- symplectic Runge-Kutta methods
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