Explicit Multi-Symplectic Methods for Hamiltonian Wave Equations  

作　　者：Jialin Hong Shanshan Jiang Chun Li Hongyu Liu 

机构地区：[1]State Key Laboratory of Scientific and Engineering Computing,Institute of Computational Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,P.R.China [2]Graduate School,Chinese Academy of Sciences,Beijing 100080,P.R.China [3]Department of Mathematics,The Chinese University of Hong Kong,Shatin,N.T.,Hong Kong.

出　　处：《Communications in Computational Physics》2007年第4期662-683,共22页计算物理通讯（英文）

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.

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.

关 键 词：Hamiltonian wave equations multi-symplectic integration symplectic Runge-Kutta methods symplectic Runge-Kutta-Nystrom methods. 

分 类 号：O17[理学—数学]