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Energy-preserving methods for guiding center system based on averaged vector field 期刊论文
PHYSICS OF PLASMAS, 2022, 卷号: 29, 期号: 3, 页码: 14
作者:  Zhu, Beibei;  Tang, Yifa;  Liu, Jian
收藏  |  浏览/下载:141/0  |  提交时间:2022/04/29
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:143/0  |  提交时间:2021/04/26
Deep learning  Physics-informed  Dynamical systems  Hamiltonian systems  Symplectic maps  Symplectic integrators  
UNIT TRIANGULAR FACTORIZATION OF THE MATRIX SYMPLECTIC GROUP 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2020, 卷号: 41, 期号: 4, 页码: 1630-1650
作者:  Jin, Pengzhan;  Tang, Yifa;  Zhu, Aiqing
收藏  |  浏览/下载:117/0  |  提交时间:2021/04/26
symplectic  symplectic matrix  triangular factorization  positive definite  singular symplectic matrix  generators  parameterization  unconstrained parametrization  
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:160/0  |  提交时间:2020/05/24
High order  Separable Hamiltonian  Quadratic  
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:170/0  |  提交时间:2020/01/10
Energy-preserving algorithm  Gyrocenter system  Discrete gradient method  
Symplectic simulation of dark solitons motion for nonlinear Schrodinger equation 期刊论文
NUMERICAL ALGORITHMS, 2019, 卷号: 81, 期号: 4, 页码: 1485-1503
作者:  Zhu, Beibei;  Tang, Yifa;  Zhang, Ruili;  Zhang, Yihao
收藏  |  浏览/下载:129/0  |  提交时间:2020/01/10
Nonlinear Schrodinger equation  Ablowitz-ladik model  Symplectic methods  K-symplectic methods  Invariants  
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:264/0  |  提交时间:2018/07/30