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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:166/0  |  提交时间:2018/07/30
Multisymplectic formulation  Hamiltonian PDEs  local discontinuous Galerkin method  numerical flux  conservation law  
An Artificial Compressibility Method for 3D Phase-Field Model and its Application to Two-Phase Flows 期刊论文
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2017, 卷号: 14, 期号: 5, 页码: 14
作者:  Shah, Abdullah;  Saeed, Sadia;  Yuan, L.
收藏  |  浏览/下载:127/0  |  提交时间:2018/07/30
Two-phase flow  phase-field model  incompressible Navier-Stokes equations  artificial compressibility method  Boussinesq approximation  
Stochastic symplectic and multi-symplectic methods for nonlinear Schrodinger equation with white noise dispersion 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 342, 页码: 267-285
作者:  Cui, Jianbo;  Hong, Jialin;  Liu, Zhihui;  Zhou, Weien
收藏  |  浏览/下载:119/0  |  提交时间:2018/07/30
Nonlinear Schrodinger equation  White noise dispersion  Stochastic symplectic and multi-symplectic structures  Stochastic symplectic and multi-symplectic schemes  
Local energy- and momentum-preserving schemes for Klein-Gordon-Schrodinger equations and convergence analysis 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2017, 卷号: 33, 期号: 4, 页码: 1329-1351
作者:  Cai, Jiaxiang;  Hong, Jialin;  Wang, Yushun
收藏  |  浏览/下载:123/0  |  提交时间:2018/07/30
conservation law  convergence analysis  Klein-Gordon-Schrodinger equations  local structure  structure-preserving algorithm  
Discontinuous Galerkin methods for Hamiltonian ODEs and PDEs 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 330, 页码: 340-364
作者:  Tang, Wensheng;  Sun, Yajuan;  Cai, Wenjun
收藏  |  浏览/下载:111/0  |  提交时间:2018/07/30
Discontinuous Galerkin method  Hamiltonian systems  Continuous-stage PRK method  Symplectic PRK scheme  Multi-symplectic PRK scheme  Conservation laws  
Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 卷号: 235, 期号: 17, 页码: 4937-4948
作者:  Kong, Linghua;  Hong, Jialin;  Fu, Fangfang;  Chen, Jing
收藏  |  浏览/下载:115/0  |  提交时间:2018/07/30
Gross-Pitaevskii equation  Symplectic integrator  Splitting symplectic integrator  Conservation laws  
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:116/0  |  提交时间:2018/07/30
Maxwell's equations  Symplectic methods  Multisymplectic methods  Energy-preserving methods  Dispersion relations  Backward error analysis  
A Speed-Up Strategy for Finite Volume WENO Schemes for Hyperbolic Conservation Laws 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2011, 卷号: 46, 期号: 3, 页码: 359-378
作者:  Teng, Fei;  Yuan, Li;  Tang, Tao
收藏  |  浏览/下载:127/0  |  提交时间:2018/07/30
Conservation law  Finite volume WENO method  Speed-up strategy  Multi-dimension  
Multi-symplectic wavelet collocation method for the nonlinear Schrodinger equation and the Camassa-Holm equation 期刊论文
COMPUTER PHYSICS COMMUNICATIONS, 2011, 卷号: 182, 期号: 3, 页码: 616-627
作者:  Zhu, Huajun;  Song, Songhe;  Tang, Yifa
收藏  |  浏览/下载:98/0  |  提交时间:2018/07/30
Multi-symplectic  Wavelet collocation method  Nonlinear Schrodinger equation  Camassa-Holm equation  
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:108/0  |  提交时间:2018/07/30
High-order compact  Coupled nonlinear Schrodinger equation  Splitting multisymplectic integrator  Conservation law