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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:193/0  |  提交时间:2020/01/10
Continuous-stage Runge-Kutta-Nystrom methods  Hamiltonian systems  Symplectic integrators  Legendre polynomial expansion  Simplifying assumptions  
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:263/0  |  提交时间:2018/07/30
Local discontinuous Galerkin methods based on the multisymplectic formulation for two kinds of Hamiltonian PDEs 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 卷号: 95, 期号: 1, 页码: 114-143
作者:  Cai, Wenjun;  Sun, Yajuan;  Wang, Yushun;  Zhang, Huai
收藏  |  浏览/下载:156/0  |  提交时间:2018/07/30
Multisymplectic formulation  Hamiltonian PDEs  local discontinuous Galerkin method  numerical flux  conservation law  
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:119/0  |  提交时间:2018/07/30
K-symplectic methods  Splitting algorithms  Gauss' methods  Generating function methods  
High order volume-preserving algorithms for relativistic charged particles in general electromagnetic fields 期刊论文
PHYSICS OF PLASMAS, 2016, 卷号: 23, 期号: 9, 页码: 8
作者:  He, Yang;  Sun, Yajuan;  Zhang, Ruili;  Wang, Yulei;  Liu, Jian;  Qin, Hong
收藏  |  浏览/下载:119/0  |  提交时间:2018/07/30
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
Application of Lie Algebra in Constructing Volume-Preserving Algorithms for Charged Particles Dynamics 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2016, 卷号: 19, 期号: 5, 页码: 1397-1408
作者:  Zhang, Ruili;  Liu, Jian;  Qin, Hong;  Tang, Yifa;  He, Yang;  Wang, Yulei
收藏  |  浏览/下载:125/0  |  提交时间:2018/07/30
Lie algebra  Lie group  volume-preserving algorithm  charged particles dynamics  
Canonical symplectic particle-in-cell method for long-term large-scale simulations of the Vlasov-Maxwell equations 期刊论文
NUCLEAR FUSION, 2016, 卷号: 56, 期号: 1, 页码: 7
作者:  Qin, Hong;  Liu, Jian;  Xiao, Jianyuan;  Zhang, Ruili;  He, Yang;  Wang, Yulei;  Sun, Yajuan;  Burby, Joshua W.;  Ellison, Leland;  Zhou, Yao
收藏  |  浏览/下载:150/0  |  提交时间:2018/07/30
particle-in-cell simulations  Vlasov-Maxwell equations  canonical symplectic algorithm  
Hamiltonian time integrators for Vlasov-Maxwell equations 期刊论文
PHYSICS OF PLASMAS, 2015, 卷号: 22, 期号: 12, 页码: 4
作者:  He, Yang;  Qin, Hong;  Sun, Yajuan;  Xiao, Jianyuan;  Zhang, Ruili;  Liu, Jian
收藏  |  浏览/下载:104/0  |  提交时间:2018/07/30
Explicit high-order non-canonical symplectic particle-in-cell algorithms for Vlasov-Maxwell systems 期刊论文
PHYSICS OF PLASMAS, 2015, 卷号: 22, 期号: 11, 页码: 8
作者:  Xiao, Jianyuan;  Qin, Hong;  Liu, Jian;  He, Yang;  Zhang, Ruili;  Sun, Yajuan
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30