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Structure-Preserving Numerical Methods for Stochastic Poisson Systems 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 3, 页码: 802-830
作者:  Hong, Jialin;  Ruan, Jialin;  Sun, Liying;  Wang, Lijin
收藏  |  浏览/下载:129/0  |  提交时间:2021/04/26
Stochastic Poisson systems  Poisson structure  Casimir functions  Poisson integrators  symplectic integrators  generating functions  stochastic rigid body system  
Construction of Symplectic Runge-Kutta Methods for Stochastic Hamiltonian Systems 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 卷号: 21, 期号: 1, 页码: 237-270
作者:  Wang, Peng;  Hong, Jialin;  Xu, Dongsheng
收藏  |  浏览/下载:103/0  |  提交时间:2018/07/30
Stochastic differential equation  Stochastic Hamiltonian system  symplectic integration  Runge-Kutta method  order condition  
Geometric Numerical Integration for Peakon b-Family Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2016, 卷号: 19, 期号: 1, 页码: 24-52
作者:  Cai, Wenjun;  Sun, Yajuan;  Wang, Yushun
收藏  |  浏览/下载:118/0  |  提交时间:2018/07/30
Symplectic integrator  splitting method  WENO scheme  multisymplectic integrator  peakon  shockpeakon  
Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrodinger Equation with Trapped Term 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2010, 卷号: 7, 期号: 3, 页码: 613-630
作者:  Hong, Jialin;  Kong, Linghua
收藏  |  浏览/下载:123/0  |  提交时间:2018/07/30
Schrodinger equation with trapped term  multi-symplectic scheme  Fourier spectral method  conservation law  split-step method  
Explicit Symplectic Methods for the Nonlinear Schrodinger Equation 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2009, 卷号: 6, 期号: 3, 页码: 639-654
作者:  Guan, Hua;  Jiao, Yandong;  Liu, Ju;  Tang, Yifa
收藏  |  浏览/下载:98/0  |  提交时间:2018/07/30
Explicit symplectic method  L-L-N splitting  nonlinear Schrodinger equation  
Explicit multi-symplectic methods for Hamiltonian wave equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2007, 卷号: 2, 期号: 4, 页码: 662-683
作者:  Hong, Jialin;  Jiang, Shanshan;  Li, Chun;  Liu, Hongyu
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
Hamiltonian wave equations  multi-symplectic integration  symplectic Runge-Kutta methods  symplectic Runge-Kutta-Nystrom methods