MULTISYMPLECTIC

作品数:13被引量:31H指数:3
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相关领域:理学更多>>
相关作者:蔡文君更多>>
相关机构:南京师范大学更多>>
相关期刊:《Journal of Computational Mathematics》《Science China Mathematics》《Communications in Theoretical Physics》《Chinese Physics B》更多>>
相关基金:国家自然科学基金国家重点基础研究发展计划更多>>
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Interaction effects of DNA, RNA-polymerase, and cellular fluid on the local dynamic behaviors of DNA被引量:2
《Applied Mathematics and Mechanics(English Edition)》2020年第4期623-636,共14页Weipeng HU Zichen DENG 
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...
关键词:deoxyribonucleic acid (DNA) dynamics LOCAL interaction generalized MULTISYMPLECTIC idea KINK solution RUNGE-KUTTA scheme 
Multisymplectic Fourier pseudo-spectral integrators for Klein-Gordon-Schrdinger equations被引量:4
《Science China Mathematics》2013年第5期915-932,共18页KONG LingHua WANG Lan JIANG ShanShan DUAN YaLi 
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...
关键词:Klein-Gordon-SchrSdinger equations multisymplectic integrator Fourier pseudo-spectral meth- od. conservation law. soliton 
Multisymplectic implicit and explicit methods for Klein-Gordon-Schrdinger equations被引量:1
《Chinese Physics B》2013年第3期99-105,共7页蔡加祥 杨斌 梁华 
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...
关键词:Klein-Gordon-Schrodinger equations multisymplectic method Fourier pseudospectral method conservation law 
Explicit Multisymplectic Fourier Pseudospectral Scheme for the Klein–Gordon–Zakharov Equations
《Chinese Physics Letters》2012年第8期1-4,共4页CAI Jia-Xiang LIANG Hua 
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...
关键词:SYMPLECTIC MOMENTUM checked 
Multisymplectic Pseudospectral Discretizations for(3+1)-Dimensional Klein-Gordon Equation被引量:1
《Communications in Theoretical Physics》2008年第11期1052-1054,共3页CHEN Jing-Bo LIU Hong 
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...
关键词:multisymplectic pseudospectral (3+1)-dimensional Klein Gordon equation 
MULTISYMPLECTIC FOURIER PSEUDOSPECTRAL METHOD FOR THE NONLINEAR SCHR■DINGER EQUATIONS WITH WAVE OPERATOR被引量:12
《Journal of Computational Mathematics》2007年第1期31-48,共18页Jian Wang 
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...
关键词:Multisymplecticity Fourier pseudospectral method Local conservation laws 
Multisymplectic Euler Box Scheme for the KdV Equation被引量:11
《Chinese Physics Letters》2007年第2期312-314,共3页王雨顺 王斌 陈新 
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...
关键词:MULTI-SYMPLECTIC SCHEME PREISSMAN SCHEME GEOMETRY INTEGRATORS PDES 
A Multisymplectic Variational Framework for the Nonlinear Elastic Wave Equation被引量:2
《Chinese Physics Letters》2006年第2期320-323,共4页陈景波 
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...
关键词:PROPAGATION INTEGRATORS FORMULATION COHOMOLOGY SANDSTONE GEOMETRY PDES 
Total Variation and Multisymplectic Structure for CNLS System被引量:1
《Communications in Theoretical Physics》2006年第1X期28-32,共5页SUN Jian-Qiang QIN Meng-Zhao LIU Ting-Ting 
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...
关键词:coupled nonlinear Schroedinger system total variation multisymplectic structure multisymplectic conservation 
Multisymplectic Hamiltonian Formulation for a One-Way Seismic Wave Equation of High-order Approximation被引量:1
《Chinese Physics Letters》2004年第1期37-39,共3页陈景波 
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