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NUMERICAL ANALYSIS ON ERGODIC LIMIT OF APPROXIMATIONS FOR STOCHASTIC NLS EQUATION VIA MULTI-SYMPLECTIC SCHEME 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 卷号: 55, 期号: 1, 页码: 305-327
作者:  Hong, Jialin;  Wang, Xu;  Zhang, Liying
收藏  |  浏览/下载:109/0  |  提交时间:2018/07/30
stochastic Schriidinger equation  multiplicative noise  unique ergodicity  multisymplectic scheme  weak error  
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:117/0  |  提交时间:2018/07/30
Symplectic integrator  splitting method  WENO scheme  multisymplectic integrator  peakon  shockpeakon  
Splitting multisymplectic integrators for Maxwell's equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 卷号: 229, 期号: 11, 页码: 4259-4278
作者:  Kong, Linghua;  Hong, Jialin;  Zhang, Jingjing
收藏  |  浏览/下载:116/0  |  提交时间:2018/07/30
Maxwell's equation  Local one-dimensional method  Multisymplectic integrator  Runge-Kutta method  Conservation law  
Globally conservative properties and error estimation of a multi-symplectic scheme for Schrodinger equations with variable coefficients 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2006, 卷号: 56, 期号: 6, 页码: 814-843
作者:  Hong, JL;  Liu, Y;  Munthe-Kaas, H;  Zanna, A
收藏  |  浏览/下载:98/0  |  提交时间:2018/07/30
Schrodinger equations  conservation laws  error estimation  global energy transit  multi-symplectic integrators  
Multisymplecticity of the centred box scheme for a class of Hamiltonian PDEs and an application to quasi-periodically solitary waves 期刊论文
MATHEMATICAL AND COMPUTER MODELLING, 2004, 卷号: 39, 期号: 9-10, 页码: 1035-1047
作者:  Hong, JL;  Liu, Y
收藏  |  浏览/下载:92/0  |  提交时间:2018/07/30
multisymplecticity  centred box scheme  quasi-periodic KdV equation  Hamiltonian PDEs  nonautonomous  quasi-periodically solitary wave