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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  
Stochastic symplectic Runge-Kutta methods for the strong approximation of Hamiltonian systems with additive noise 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 325, 页码: 134-148
作者:  Zhou, Weien;  Zhang, Jingjing;  Hong, Jialin;  Song, Songhe
收藏  |  浏览/下载:156/0  |  提交时间:2018/07/30
Stochastic differential equations  Stochastic Runge-Kutta methods  Symplectic integrators  Mean-square convergence  
Optimal error estimate of a compact scheme for nonlinear Schrodinger equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2017, 卷号: 120, 页码: 68-81
作者:  Hong, Jialin;  Ji, Lihai;  Kong, Linghua;  Wang, Tingchun
收藏  |  浏览/下载:118/0  |  提交时间:2018/07/30
Nonlinear Schrodinger equation  Compact scheme  Symplectic scheme  Energy conservation  Optimal error estimate  
SYMPLECTIC RUNGE-KUTTA METHODS OF HIGH ORDER BASED ON W-TRANSFORMATION 期刊论文
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 卷号: 7, 期号: 3, 页码: 1185-1199
作者:  Xia, Kaifeng;  Cong, Yuhao;  Sun, Geng
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
Runge-Kutta method  symplectic and algebraically stable method  W-transformation  
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:110/0  |  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  
The deformation of symplectic critical surfaces in a Kahler surface-II-compactness 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2017, 卷号: 56, 期号: 3, 页码: 22
作者:  Han, Xiaoli;  Li, Jiayu;  Sun, Jun
收藏  |  浏览/下载:81/0  |  提交时间:2018/07/30
Explicit symplectic methods for solving charged particle trajectories 期刊论文
PHYSICS OF PLASMAS, 2017, 卷号: 24, 期号: 5, 页码: 10
作者:  Zhou, Zhaoqi;  He, Yang;  Sun, Yajuan;  Liu, Jian;  Qin, Hong
收藏  |  浏览/下载:117/0  |  提交时间:2018/07/30
Mean-square convergence of a symplectic local discontinuous Galerkin method applied to stochastic linear Schrodinger equation 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2017, 卷号: 37, 期号: 2, 页码: 1041-1065
作者:  Chen, Chuchu;  Hong, Jialin;  Ji, Lihai
收藏  |  浏览/下载:126/0  |  提交时间:2018/07/30
symplectic method  local discontinuous Galerkin method  stochastic linear Schrodinger equation  L-2-stability  charge conservation law  mean-square convergence  
Explicit K-symplectic algorithms for charged particle dynamics 期刊论文
PHYSICS LETTERS A, 2017, 卷号: 381, 期号: 6, 页码: 568-573
作者:  He, Yang;  Zhou, Zhaoqi;  Sun, Yajuan;  Liu, Jian;  Qin, Hong
收藏  |  浏览/下载:134/0  |  提交时间:2018/07/30
Lorentz force equation  K-symplectic integrator  Splitting method  Hamiltonian splitting  Energy preservation  
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:103/0  |  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