the National Natural Science Foundation of China(Nos.11972284 and11672241);the Fund for Distinguished Young Scholars of Shaanxi Province of China(No.2019JC-29);the Open Foundation of State Key Laboratory of Structural Analysis of Industrial Equipment of China(No.GZ19103)。
In view of the complex structure and environment,the dynamic analysis on deoxyribonucleic acid(DNA)is a challenge in the biophysics field.Considering the local interaction with ribonucleic acid(RNA)-polymerase as well...
supported by National Natural Science Foundation of China(Grant Nos.10901074,11271171,91130003,11001009 and 11101399);the Province Natural Science Foundation of Jiangxi(Grant No. 20114BAB201011);the Foundation of Department of Education of Jiangxi Province(Grant No.GJJ12174);the State Key Laboratory of Scientific and Engineering Computing,CAS;supported by the Youth Growing Foundation of Jiangxi Normal University in 2010
A multisymplectic Fourier pseudo-spectral scheme, which exactly preserves the discrete multisym- plectic conservation law, is presented to solve the Klein-Gordon-SchrSdinger equations. The scheme is of spectral accura...
Project supported by the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 11201169);the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No. 10KJB110001)
We propose multisymplectic implicit and explicit Fourier pseudospectral methods for the Klein-Gordon-Schrodinger equations.We prove that the implicit method satisfies the charge conservation law exactly.Both methods p...
Supported by the Natural Science Foundation of Jiangsu Higher Education Institutions of China under Grant No 10KJB110001;the Program for Excellent Talents in Huaiyin Normal University(No 11HSQNZ01).
Applying the Fourier pseudospectral method to space derivatives and the symplectic Euler rule to time derivatives in the multisymplectic form of the Klein–Gordon–Zakharov equations,we derive an explicit multisymplec...
supported by National Natural Science Foundation of China under Grant No.40774069;partially by the National Hi-Tech Research and Development Program of China under Crant No.2006AA09A102-08;State Key Basic Research Program under Grant No.2007CB209603
We explore the multisymplectic Fourier pseudospectral discretizations for the (3+1)-dimensional Klein-Gordon equation in this paper.The corresponding multisymplectic conservation laws are derived.Two kinds of explicit...
This work was supported by E-Institutes of Shanghai Municlpal Education Commission N.E03004.
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 conservatio...
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...
The project supported by National Natural Science Foundation of China under Grant Nos. 10401033 and 10471145 and the Key Project of Knowledge Innovation of CAS under Grant No. KZCX1-SW-18
The relation between the toal variation of classical field theory and the multisymplectic structure is shown. Then the multisymplectic structure and the corresponding multisymplectic conservation of the coupled nonlin...