TY - JOUR T1 - Explicit Multi-Symplectic Methods for Hamiltonian Wave Equations JO - Communications in Computational Physics VL - 4 SP - 662 EP - 683 PY - 2007 DA - 2007/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7922.html KW - Hamiltonian wave equations, multi-symplectic integration, symplectic Runge-Kutta methods, symplectic Runge-Kutta-Nyström methods. AB -

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.