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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：127/0  |  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：142/0  |  提交时间：2021/04/26
Deep learning  Physics-informed  Dynamical systems  Hamiltonian systems  Symplectic maps  Symplectic integrators  
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  
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：190/0  |  提交时间：2020/01/10
Continuous-stage Runge-Kutta-Nystrom methods  Hamiltonian systems  Symplectic integrators  Legendre polynomial expansion  Simplifying assumptions  
Energy-preserving algorithm for gyrocenter dynamics of charged particles 期刊论文
NUMERICAL ALGORITHMS, 2019, 卷号: 81, 期号: 4, 页码: 1521-1530
作者:  Zhang, Ruili;  Liu, Jian;  Qin, Hong;  Tang, Yifa
收藏  |  浏览/下载：166/0  |  提交时间：2020/01/10
Energy-preserving algorithm  Gyrocenter system  Discrete gradient method  
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：176/0  |  提交时间：2020/01/10
Runaway electrons  Symplectic methods  Adaptive time step  
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：141/0  |  提交时间：2018/10/07
Hamiltonian systems  symplectic integrators  KAM theory  invariant tori  twist symplectic mappings  Russmann's non-degeneracy  
numericalinvarianttoriofsymplecticintegratorsforintegrablehamiltoniansystems 期刊论文
sciencechinamathematics, 2018, 卷号: 61, 期号: 9, 页码: 1567
作者:  Ding Zhaodong;  Shang Zaijiu
收藏  |  浏览/下载：131/0  |  提交时间：2020/01/10
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：146/0  |  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：118/0  |  提交时间：2018/07/30
K-symplectic methods  Splitting algorithms  Gauss' methods  Generating function methods