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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:128/0  |  提交时间:2021/04/26
Stochastic Poisson systems  Poisson structure  Casimir functions  Poisson integrators  symplectic integrators  generating functions  stochastic rigid body system  
New high order symplectic integrators via generating functions with its application in many-body problem 期刊论文
BIT NUMERICAL MATHEMATICS, 2019, 页码: 27
作者:  Tu, Xiongbiao;  Murua, Ander;  Tang, Yifa
收藏  |  浏览/下载:157/0  |  提交时间:2020/05/24
High order  Separable Hamiltonian  Quadratic  
Symplectic integrators with adaptive time step applied to runaway electron dynamics 期刊论文
NUMERICAL ALGORITHMS, 2019, 卷号: 81, 期号: 4, 页码: 1295-1309
作者:  Shi, Yanyan;  Sun, Yajuan;  He, Yang;  Qin, Hong;  Liu, Jian
收藏  |  浏览/下载:176/0  |  提交时间:2020/01/10
Runaway electrons  Symplectic methods  Adaptive time step  
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:156/0  |  提交时间:2018/07/30
Multisymplectic formulation  Hamiltonian PDEs  local discontinuous Galerkin method  numerical flux  conservation law  
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  
Explicit symplectic algorithms based on generating functions for charged particle dynamics 期刊论文
PHYSICAL REVIEW E, 2016, 卷号: 94, 期号: 1, 页码: 8
作者:  Zhang, Ruili;  Qin, Hong;  Tang, Yifa;  Liu, Jian;  He, Yang;  Xiao, Jianyuan
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
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:117/0  |  提交时间:2018/07/30
Symplectic integrator  splitting method  WENO scheme  multisymplectic integrator  peakon  shockpeakon  
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:88/0  |  提交时间:2018/07/30
Multi-symplectic  Wavelet collocation method  Nonlinear Schrodinger equation  Camassa-Holm equation  
Symplectic wavelet collocation method for Hamiltonian wave equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 卷号: 229, 期号: 7, 页码: 2550-2572
作者:  Zhu, Huajun;  Tang, Lingyan;  Song, Songhe;  Tang, Yifa;  Wang, Desheng
收藏  |  浏览/下载:105/0  |  提交时间:2018/07/30
Wavelet collocation  Symplectic scheme  Hamiltonian system  
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