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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：142/0  |  提交时间：2021/04/26
Deep learning  Physics-informed  Dynamical systems  Hamiltonian systems  Symplectic maps  Symplectic integrators  
Drift-preserving numerical integrators for stochastic Hamiltonian systems 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2020, 卷号: 46, 期号: 2, 页码: 22
作者:  Chen, Chuchu;  Cohen, David;  D'Ambrosio, Raffaele;  Lang, Annika
收藏  |  浏览/下载：150/0  |  提交时间：2020/05/24
Stochastic differential equations  Stochastic Hamiltonian systems  Energy  Trace formula  Numerical schemes  Strong convergence  Weak convergence  Multilevel Monte Carlo  
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：155/0  |  提交时间：2020/05/24
High order  Separable Hamiltonian  Quadratic  
Explicit symplectic algorithms based on generating functions for relativistic charged particle dynamics in time-dependent electromagnetic field 期刊论文
PHYSICS OF PLASMAS, 2018, 卷号: 25, 期号: 2, 页码: 7
作者:  Zhang, Ruili;  Wang, Yulei;  He, Yang;  Xiao, Jianyuan;  Liu, Jian;  Qin, Hong;  Tang, Yifa
收藏  |  浏览/下载：262/0  |  提交时间：2018/07/30
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：101/0  |  提交时间：2018/07/30
Stochastic differential equation  Stochastic Hamiltonian system  symplectic integration  Runge-Kutta method  order condition  
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：118/0  |  提交时间：2018/07/30
K-symplectic methods  Splitting algorithms  Gauss' methods  Generating function methods  
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
LINEAR STABILITY OF PARTITIONED RUNGE-KUTTA METHODS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2011, 卷号: 49, 期号: 1, 页码: 232-263
作者:  McLachlan, R. I.;  Sun, Y.;  Tse, P. S. P.
收藏  |  浏览/下载：143/0  |  提交时间：2018/07/30
asymptotic behavior  continued fractions  linear stability  Lobatto IIIA-IIIB methods  Pade approximants  trace of stability matrix  
Variations on a theme by Euler 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 1998, 卷号: 16, 期号: 2, 页码: 97-106
作者:  Feng, K;  Wang, DL
收藏  |  浏览/下载：88/0  |  提交时间：2018/07/30
Hamiltonian systems  symplectic difference schemes  explicit Euler method  nilpotent  symplectically separable