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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  
Explicit K-symplectic algorithms for charged particle dynamics 期刊论文
PHYSICS LETTERS A, 2017, 卷号: 381, 期号: 6, 页码: 568-573
作者:  He, Yang;  Zhou, Zhaoqi;  Sun, Yajuan;  Liu, Jian;  Qin, Hong
收藏  |  浏览/下载:134/0  |  提交时间:2018/07/30
Lorentz force equation  K-symplectic integrator  Splitting method  Hamiltonian splitting  Energy preservation  
Discontinuous Galerkin methods for Hamiltonian ODEs and PDEs 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 330, 页码: 340-364
作者:  Tang, Wensheng;  Sun, Yajuan;  Cai, Wenjun
收藏  |  浏览/下载:103/0  |  提交时间:2018/07/30
Discontinuous Galerkin method  Hamiltonian systems  Continuous-stage PRK method  Symplectic PRK scheme  Multi-symplectic PRK scheme  Conservation laws  
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:159/0  |  提交时间:2018/07/30
particle-in-cell simulations  Vlasov-Maxwell equations  canonical symplectic algorithm  
Geometric Numerical Integration for Peakon b-Family Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2016, 卷号: 19, 期号: 1, 页码: 24-52
作者:  Cai, Wenjun;  Sun, Yajuan;  Wang, Yushun
收藏  |  浏览/下载:120/0  |  提交时间:2018/07/30
Symplectic integrator  splitting method  WENO scheme  multisymplectic integrator  peakon  shockpeakon  
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:106/0  |  提交时间:2018/07/30
Quadratic invariants and multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs 期刊论文
NUMERISCHE MATHEMATIK, 2007, 卷号: 106, 期号: 4, 页码: 691-715
作者:  Sun, Yajuan
收藏  |  浏览/下载:96/0  |  提交时间:2018/07/30