Multisymplectic Euler Box Scheme for the KdV Equation  

作　　者：王雨顺 王斌 陈新 

机构地区：[1]School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing 210097 [2]Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029

出　　处：《Chinese Physics Letters》2007年第2期312-314,共3页中国物理快报（英文版）

基　　金：Supported by the National Baslc Research Programme under Grant No 2005CB321703, and the National Natural Science Foundation of China under Grant Nos 40221503, 10471067 and 40405019.

摘　　要：We investigate the multisymplectic Euler box scheme for the Korteweg-de Vries （KdV） equation. A new completely explicit six-point scheme is derived. Numerical experiments of the new scheme with comparisons to the Zabusky-Kruskal scheme, the multisymplectic 12-point scheme, the narrow box scheme and the spectral method are made to show nice numerical stability and ability to preserve the integral invariant for long-time integration.We investigate the multisymplectic Euler box scheme for the Korteweg-de Vries （KdV） equation. A new completely explicit six-point scheme is derived. Numerical experiments of the new scheme with comparisons to the Zabusky-Kruskal scheme, the multisymplectic 12-point scheme, the narrow box scheme and the spectral method are made to show nice numerical stability and ability to preserve the integral invariant for long-time integration.

关 键 词：MULTI-SYMPLECTIC SCHEME PREISSMAN SCHEME GEOMETRY INTEGRATORS PDES 

分 类 号：O43[机械工程—光学工程]