@Article{CiCP-2-4, author = {}, title = {Explicit Multi-Symplectic Methods for Hamiltonian Wave Equations}, journal = {Communications in Computational Physics}, year = {2007}, volume = {2}, number = {4}, pages = {662--683}, 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.
}, issn = {1991-7120}, doi = {https://doi.org/2007-CiCP-7922}, url = {https://global-sci.com/article/81334/explicit-multi-symplectic-methods-for-hamiltonian-wave-equations} }