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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  
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:102/0  |  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  
Symplectic and multisymplectic numerical methods for Maxwell's equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2011, 卷号: 230, 期号: 5, 页码: 2076-2094
作者:  Sun, Y.;  Tse, P. S. P.
收藏  |  浏览/下载:104/0  |  提交时间:2018/07/30
Maxwell's equations  Symplectic methods  Multisymplectic methods  Energy-preserving methods  Dispersion relations  Backward error analysis  
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:94/0  |  提交时间:2018/07/30