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Symplectic Runge-Kutta methods for Hamiltonian systems driven by Gaussian rough paths 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2018, 卷号: 129, 页码: 120-136
作者:  Hong, Jialin;  Huang, Chuying;  Wang, Xu
收藏  |  浏览/下载：145/0  |  提交时间：2018/07/30
Rough path  Hamiltonian system  Symplectic Runge-Kutta method  Implicit method  Pathwlse convergence rate  
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  
A Compact Scheme for Coupled Stochastic Nonlinear Schrodinger Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 卷号: 21, 期号: 1, 页码: 93-125
作者:  Chen, Chuchu;  Hong, Jialin;  Ji, Lihai;  Kong, Linghua
收藏  |  浏览/下载：146/0  |  提交时间：2018/07/30
Coupled stochastic nonlinear Schrodinger equations  compact scheme  stochastic multi-symplectic conservation law  energy evolution law  charge conservation law  soliton evolution  soliton interaction  
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：111/0  |  提交时间：2018/07/30
stochastic Schriidinger equation  multiplicative noise  unique ergodicity  multisymplectic scheme  weak error  
Multi-symplectic wavelet collocation method for the nonlinear Schrodinger equation and the Camassa-Holm equation 期刊论文
COMPUTER PHYSICS COMMUNICATIONS, 2011, 卷号: 182, 期号: 3, 页码: 616-627
作者:  Zhu, Huajun;  Song, Songhe;  Tang, Yifa
收藏  |  浏览/下载：92/0  |  提交时间：2018/07/30
Multi-symplectic  Wavelet collocation method  Nonlinear Schrodinger equation  Camassa-Holm equation  
Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrodinger Equation with Trapped Term 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2010, 卷号: 7, 期号: 3, 页码: 613-630
作者:  Hong, Jialin;  Kong, Linghua
收藏  |  浏览/下载：125/0  |  提交时间：2018/07/30
Schrodinger equation with trapped term  multi-symplectic scheme  Fourier spectral method  conservation law  split-step method  
Conjugate symplecticity of second-order linear multi-step methods 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 卷号: 203, 期号: 1, 页码: 6-14
作者:  Feng, Quan-Dong;  Jiao, Yan-Dong;  Tang, Yi-Fa
收藏  |  浏览/下载：110/0  |  提交时间：2018/07/30
linear multi-step method  step-transition operator  B-series  conjugate relation  symplecticity  
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：101/0  |  提交时间：2018/07/30
Schrodinger equations  conservation laws  error estimation  global energy transit  multi-symplectic integrators  
A multi-symplectic scheme for RLW equation 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2004, 卷号: 22, 期号: 4, 页码: 611-621
作者:  Sun, YJ;  Qin, MZ
收藏  |  浏览/下载：68/0  |  提交时间：2018/07/30
multi-symplectic scheme  RLW equation  
Multi-symplectic methods for the coupled 1D nonlinear Schrodinger system 期刊论文
COMPUTER PHYSICS COMMUNICATIONS, 2003, 卷号: 155, 期号: 3, 页码: 221-235
作者:  Sun, JQ;  Qin, MZ
收藏  |  浏览/下载：87/0  |  提交时间：2018/07/30
coupled 1D nonlinear Schrodinger system  multi-symplectic scheme  energy conservation  six-point scheme