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 - <p style="text-align: justify;">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.</p>