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Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 418, 页码: 18
作者:  Chen, Chuchu;  Hong, Jialin;  Sim, Chol;  Sonwu, Kwang
收藏  |  浏览/下载：172/0  |  提交时间：2020/10/12
Hamiltonian wave equations  Energy preservation  EQUIP multi-symplectic methods  
Symplectic Runge-Kutta methods for Hamiltonian systems driven by Gaussian rough paths 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2018, 卷号: 129, 页码: 120-136
作者:  Hong, Jialin;  Huang, Chuying;  Wang, Xu
收藏  |  浏览/下载：145/0  |  提交时间：2018/07/30
Rough path  Hamiltonian system  Symplectic Runge-Kutta method  Implicit method  Pathwlse convergence rate  
An energy-conserving method for stochastic Maxwell equations with multiplicative noise 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 351, 页码: 216-229
作者:  Hong, Jialin;  Ji, Lihai;  Zhang, Liying;  Cai, Jiaxiang
收藏  |  浏览/下载：220/0  |  提交时间：2018/07/30
Energy-conserving method  Three-dimensional stochastic Maxwell equations  Multiplicative noise  Geometric structure  
Multi-symplectic preserving integrator for the Schrodinger equation with wave operator 期刊论文
APPLIED MATHEMATICAL MODELLING, 2015, 卷号: 39, 期号: 22, 页码: 6817-6829
作者:  Wang, Lan;  Kong, Linghua;  Zhang, Liying;  Zhou, Wenying;  Zheng, Xiaohong
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
Schrodinger equation with wave operator  Multi-symplectic integrator  Conservation laws  
Multi-symplectic Birkhoffian structure for PDEs with dissipation terms 期刊论文
PHYSICS LETTERS A, 2010, 卷号: 374, 期号: 24, 页码: 2410-2416
作者:  Su, Hongling;  Qin, Mengzhao;  Wang, Yushun;  Scherer, Rudolf
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
Self-adjoint system  PDEs with dissipation term  Birkhoffian structure  Birkhoffian multi-symplectic integrator  Conservation of multi-symplecticity  Discrete variational principle  
Numerical simulations of collision behaviors of optical solitons in birefringent fibres 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 卷号: 14, 期号: 4, 页码: 1259-1266
作者:  Sun, Jian-Qiang;  Qin, Meng-Zhao;  Wei, Hua;  Dong, Dai Gui
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
Coupled nonlinear Schrodinger system  Multi-symplectic spectral method  Multi-symplectic structure  Collisions of solitons  
Multi-symplectic Runge-Kutta-Nystrom methods for nonlinear Schrodinger equations with variable coefficients 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 卷号: 226, 期号: 2, 页码: 1968-1984
作者:  Hong, Jialin;  Liu, Xiao-yan;  Li, Chun
收藏  |  浏览/下载：86/0  |  提交时间：2018/07/30
Nonlinear Schrodinger equations  multi-symplectic conservation law  Runge-Kutta-Nystrom methods  charge conservation law  
Multi-symplectic Runge-Kutta methods for nonlinear dirac equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 卷号: 211, 期号: 2, 页码: 448-472
作者:  Hong, JL;  Li, C
收藏  |  浏览/下载：83/0  |  提交时间：2018/07/30
multi-symplectic Runge-Kutta methods  conservation laws  nonlinear dirac equations  
Difference discrete variational principles, Euler-Lagrange cohomology and symplectic, multisymplectic structures III: Application to symplectic and multisymplectic algorithms 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2002, 卷号: 37, 期号: 3, 页码: 257-264
作者:  Guo, HY;  Li, YQ;  Wu, K;  Wang, SK
收藏  |  浏览/下载：87/0  |  提交时间：2018/07/30
discrete variation  Euler-Lagrange cohomology  symplectic algorithm  multisymplectic algorithm  
Difference discrete variational principle, Euler-Lagrange cohomology and symplectic, multisymplectic structures II: Euler-Lagrange cohomology 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2002, 卷号: 37, 期号: 2, 页码: 129-138
作者:  Guo, HY;  Li, YQ;  Wu, K;  Wang, SK
收藏  |  浏览/下载：108/0  |  提交时间：2018/07/30
discrete variation  Euler-Lagrange cohomology  symplectic and multisymplectic structures