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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：130/0  |  提交时间：2021/04/26
Stochastic Poisson systems  Poisson structure  Casimir functions  Poisson integrators  symplectic integrators  generating functions  stochastic rigid body system  
SYMPLECTIC RUNGE-KUTTA SEMIDISCRETIZATION FOR STOCHASTIC SCHRODINGER EQUATION 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2016, 卷号: 54, 期号: 4, 页码: 2569-2593
作者:  Chen, Chuchu;  Hong, Jialin
收藏  |  浏览/下载：105/0  |  提交时间：2018/07/30
stochastic Schrodinger equation  infinite-dimensional stochastic Hamiltonian system  symplectic structure  symplectic Runge-Kutta method  semidiscretization  mean-square convergence order  
Preservation of stability properties near fixed points of linear Hamiltonian systems by symplectic integrators 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2011, 卷号: 217, 期号: 13, 页码: 6105-6114
作者:  Ding, Xiaohua;  Liu, Hongyu;  Shang, Zaijiu;  Sun, Geng
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
Symplectic Runge-Kutta method  Symplectic partitioned Runge-Kutta method  Equilibrium structure  Composition method  Stability  
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：114/0  |  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：99/0  |  提交时间：2018/07/30
Coupled nonlinear Schrodinger system  Multi-symplectic spectral method  Multi-symplectic structure  Collisions of solitons  
Symplectic schemes for Birkhoffian system 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2004, 卷号: 41, 期号: 3, 页码: 329-334
作者:  Su, HL;  Qin, MZ
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
Birkhoffran system  symplectic structure  generating function method  symplectic scheme  
A symplectic structure preserved by the trapezoidal rule 期刊论文
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2003, 卷号: 72, 期号: 9, 页码: 2193-2197
作者:  Tam, HW;  Wang, DL
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
symplectic structure  trapezoidal rule  Richardson's extrapolation  
Difference discrete variational principles, Euler-Lagrange cohomology and symplectic, multisymplectic structures - I: Difference discrete variational principle 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2002, 卷号: 37, 期号: 1, 页码: 1-10
作者:  Guo, HY;  Li, YQ;  Wu, K;  Wang, SK
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
discrete variation  Euler-Lagrange cohomology  symplectic structure