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High order symplectic integrators based on continuous-stage Runge-Kutta-Nystrom methods 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2019, 卷号: 361, 页码: 670-679
作者:  Tang, Wensheng;  Sun, Yajuan;  Zhang, Jingjing
收藏  |  浏览/下载：205/0  |  提交时间：2020/01/10
Continuous-stage Runge-Kutta-Nystrom methods  Hamiltonian systems  Symplectic integrators  Legendre polynomial expansion  Simplifying assumptions  
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：178/0  |  提交时间：2020/01/10
Runaway electrons  Symplectic methods  Adaptive time step  
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：155/0  |  提交时间：2018/07/30
Stochastic differential equations  Stochastic Runge-Kutta methods  Symplectic integrators  Mean-square convergence  
Splitting K-symplectic methods for non-canonical separable Hamiltonian problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 卷号: 322, 页码: 387-399
作者:  Zhu, Beibei;  Zhang, Ruili;  Tang, Yifa;  Tu, Xiongbiao;  Zhao, Yue
收藏  |  浏览/下载：122/0  |  提交时间：2018/07/30
K-symplectic methods  Splitting algorithms  Gauss' methods  Generating function methods  
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：120/0  |  提交时间：2018/07/30
Symplectic integrator  splitting method  WENO scheme  multisymplectic integrator  peakon  shockpeakon  
Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 卷号: 235, 期号: 17, 页码: 4937-4948
作者:  Kong, Linghua;  Hong, Jialin;  Fu, Fangfang;  Chen, Jing
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
Gross-Pitaevskii equation  Symplectic integrator  Splitting symplectic integrator  Conservation laws  
Splitting multisymplectic integrators for Maxwell's equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 卷号: 229, 期号: 11, 页码: 4259-4278
作者:  Kong, Linghua;  Hong, Jialin;  Zhang, Jingjing
收藏  |  浏览/下载：123/0  |  提交时间：2018/07/30
Maxwell's equation  Local one-dimensional method  Multisymplectic integrator  Runge-Kutta method  Conservation law  
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：125/0  |  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：100/0  |  提交时间：2018/07/30
Explicit symplectic method  L-L-N splitting  nonlinear Schrodinger equation  
DYNAMICS AND VARIATIONAL INTEGRATORS OF STOCHASTIC HAMILTONIAN SYSTEMS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2009, 卷号: 6, 期号: 4, 页码: 586-602
作者:  Wang, Lijin;  Hong, Jialin;  Scherer, Rudolf;  Bai, Fengshan
收藏  |  浏览/下载：108/0  |  提交时间：2018/07/30
Hamilton's principle  stochastic Hamiltonian systems  symplectic methods  variational integrators