摘要
In this paper,based on the multi-symplecticity of concatenating symplectic Runge-Kutta-Nystrom(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.
基金
supported by the Director Innovation Foundation of ICMSEC and AMSS,the Foundation of CAS,the NNSFC(No.19971089 and No.10371128)
the National Basic Research Program of China under the Grant 2005CB321701.
