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Local discontinuous Galerkin methods based on the multisymplectic formulation for two kinds of Hamiltonian PDEs 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 卷号: 95, 期号: 1, 页码: 114-143
作者:  Cai, Wenjun;  Sun, Yajuan;  Wang, Yushun;  Zhang, Huai
收藏  |  浏览/下载:168/0  |  提交时间:2018/07/30
Multisymplectic formulation  Hamiltonian PDEs  local discontinuous Galerkin method  numerical flux  conservation law  
NUMERICAL ANALYSIS ON ERGODIC LIMIT OF APPROXIMATIONS FOR STOCHASTIC NLS EQUATION VIA MULTI-SYMPLECTIC SCHEME 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 卷号: 55, 期号: 1, 页码: 305-327
作者:  Hong, Jialin;  Wang, Xu;  Zhang, Liying
收藏  |  浏览/下载:126/0  |  提交时间:2018/07/30
stochastic Schriidinger equation  multiplicative noise  unique ergodicity  multisymplectic scheme  weak error  
Variational discretizations for the generalized Rosenau-type equations 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2015, 卷号: 271, 页码: 860-873
作者:  Cai, Wenjun;  Sun, Yajuan;  Wang, Yushun
收藏  |  浏览/下载:128/0  |  提交时间:2018/07/30
Lagrangian density  Variational integrator  Multisymplectic formulation  Solitons collision  Local conservation law  
Symplectic and multisymplectic numerical methods for Maxwell's equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2011, 卷号: 230, 期号: 5, 页码: 2076-2094
作者:  Sun, Y.;  Tse, P. S. P.
收藏  |  浏览/下载:119/0  |  提交时间:2018/07/30
Maxwell's equations  Symplectic methods  Multisymplectic methods  Energy-preserving methods  Dispersion relations  Backward error analysis  
High-order compact splitting multisymplectic method for the coupled nonlinear Schrodinger equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 卷号: 61, 期号: 2, 页码: 319-333
作者:  Ma, Yuanping;  Kong, Linghua;  Hong, Jialin;  Cao, Ying
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
High-order compact  Coupled nonlinear Schrodinger equation  Splitting multisymplectic integrator  Conservation law  
Splitting multisymplectic integrators for Maxwell's equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 卷号: 229, 期号: 11, 页码: 4259-4278
作者:  Kong, Linghua;  Hong, Jialin;  Zhang, Jingjing
收藏  |  浏览/下载:142/0  |  提交时间:2018/07/30
Maxwell's equation  Local one-dimensional method  Multisymplectic integrator  Runge-Kutta method  Conservation law  
On multisymplectic integrators based on Runge-Kutta-Nystrom methods for Hamiltonian wave equations 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2006, 卷号: 182, 期号: 2, 页码: 1056-1063
作者:  Li, Qinghong;  Sun, Yajuan;  Wang, Yushun
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
Hamiltonian wave equations  multisymplectic integrators  symplectic Runge-Kutta-Nystrom methods  energy and momentum conservation laws  
Total variation and multisymplectic structure for CNLS system 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2006, 卷号: 46, 期号: 1, 页码: 28-32
作者:  Sun Jian-Qiang;  Qin Meng-Zhao;  Liu Ting-Ting
收藏  |  浏览/下载:88/0  |  提交时间:2018/07/30
coupled nonlinear Schrodinger system  total variation  multisymplectic structure  multisymplectic conservation  
Globally conservative properties and error estimation of a multi-symplectic scheme for Schrodinger equations with variable coefficients 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2006, 卷号: 56, 期号: 6, 页码: 814-843
作者:  Hong, JL;  Liu, Y;  Munthe-Kaas, H;  Zanna, A
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
Schrodinger equations  conservation laws  error estimation  global energy transit  multi-symplectic integrators