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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：164/0  |  提交时间：2021/04/26
Stochastic Poisson systems  Poisson structure  Casimir functions  Poisson integrators  symplectic integrators  generating functions  stochastic rigid body system  
SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems 期刊论文
NEURAL NETWORKS, 2020, 卷号: 132, 页码: 166-179
作者:  Jin, Pengzhan;  Zhang, Zhen;  Zhu, Aiqing;  Tang, Yifa;  Karniadakis, George Em
收藏  |  浏览/下载：176/0  |  提交时间：2021/04/26
Deep learning  Physics-informed  Dynamical systems  Hamiltonian systems  Symplectic maps  Symplectic integrators  
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：252/0  |  提交时间：2020/01/10
Continuous-stage Runge-Kutta-Nystrom methods  Hamiltonian systems  Symplectic integrators  Legendre polynomial expansion  Simplifying assumptions  
Numerical invariant tori of symplectic integrators for integrable Hamiltonian systems 期刊论文
SCIENCE CHINA-MATHEMATICS, 2018, 卷号: 61, 期号: 9, 页码: 1567-1588
作者:  Ding, Zhaodong;  Shang, Zaijiu
收藏  |  浏览/下载：173/0  |  提交时间：2018/10/07
Hamiltonian systems  symplectic integrators  KAM theory  invariant tori  twist symplectic mappings  Russmann's non-degeneracy  
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：189/0  |  提交时间：2018/07/30
Stochastic differential equations  Stochastic Runge-Kutta methods  Symplectic integrators  Mean-square convergence  
Linearization-preserving self-adjoint and symplectic integrators 期刊论文
BIT NUMERICAL MATHEMATICS, 2009, 卷号: 49, 期号: 1, 页码: 177-197
作者:  McLachlan, R. I.;  Quispel, G. R. W.;  Tse, P. S. P.
收藏  |  浏览/下载：129/0  |  提交时间：2018/07/30
Hamiltonian systems  Linearization-preserving methods  Symplectic integrators  
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：132/0  |  提交时间：2018/07/30
Hamilton's principle  stochastic Hamiltonian systems  symplectic methods  variational integrators  
On multisymplectic integrators based on Runge-Kutta-Nystrom methods for Hamiltonian wave equations 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2006, 卷号: 182, 期号: 2, 页码: 1056-1063
作者:  Li, Qinghong;  Sun, Yajuan;  Wang, Yushun
收藏  |  浏览/下载：127/0  |  提交时间：2018/07/30
Hamiltonian wave equations  multisymplectic integrators  symplectic Runge-Kutta-Nystrom methods  energy and momentum conservation laws  
Globally conservative properties and error estimation of a multi-symplectic scheme for Schrodinger equations with variable coefficients 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2006, 卷号: 56, 期号: 6, 页码: 814-843
作者:  Hong, JL;  Liu, Y;  Munthe-Kaas, H;  Zanna, A
收藏  |  浏览/下载：125/0  |  提交时间：2018/07/30
Schrodinger equations  conservation laws  error estimation  global energy transit  multi-symplectic integrators