Supported by the National Basic Research Programme of China under Grant No 2005CB321703, the Key Project of NSF of Jiangsu Province under Grant No BK2006725, and the National Natural Science Foundation of China under Grant Nos 10471067 and 40405019.
We investigate the multi-symplectic Euler-box scheme for the nonlinear Schroedinger equation. Two new simple semi-explicit scheme are derived. A composition scheme based on the new derived schemes is also discussed. S...
Supported by the National Natural Science Foundation of China under grant No 40774069, and the National Hi-Tech Research and Development Programme of China under Grant No 2006AAO9A102-08, and the National Basic Research Programme of China under Grant No 2007CB209603.
Based on the Lie-group and Gauss-Legendre methods, two kinds of square-conservative integrators for square- conservative nonlinear evolution equations are presented. Lie-group based square-conservative integrators are...
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.
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 Za...
Supported by the National Natural Science Foundation of China under Grant No 40474047.
A multisymplectic variational internal energy corresponding equation, its associated local framework for the nonlinear elastic wave equation is presented. The modified to the approximate nonlinea.r elastic wave equati...