MULTISYMPLECTIC FOURIER PSEUDOSPECTRAL METHOD FOR THE NONLINEAR SCHR■DINGER EQUATIONS WITH WAVE OPERATOR  

作　　者：Jian Wang 

机构地区：[1]Department of Mathematics, Shanghai Jiaotong University, Division of Computational Science, E-Institute of Shanghai Universities, Shanghai 200240, China

出　　处：《Journal of Computational Mathematics》2007年第1期31-48,共18页计算数学（英文）

基　　金：This work was supported by E-Institutes of Shanghai Municlpal Education Commission N.E03004.

摘　　要：In this paper, the multisymplectic Fourier pseudospectral scheme for initial-boundary value problems of nonlinear SchrSdinger equations with wave operator is considered. We investigate the local and global conservation properties of the multisymplectic discretization based on Fourier pseudospectral approximations. The local and global spatial conservation of energy is proved. The error estimates of local energy conservation law are also derived. Numerical experiments are presented to verify the theoretical predications.In this paper, the multisymplectic Fourier pseudospectral scheme for initial-boundary value problems of nonlinear SchrSdinger equations with wave operator is considered. We investigate the local and global conservation properties of the multisymplectic discretization based on Fourier pseudospectral approximations. The local and global spatial conservation of energy is proved. The error estimates of local energy conservation law are also derived. Numerical experiments are presented to verify the theoretical predications.

关 键 词：Multisymplecticity Fourier pseudospectral method Local conservation laws 

分 类 号：O174.2[理学—数学]