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Strong convergence rate of splitting schemes for stochastic nonlinear Schrodinger equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 266, 期号: 9, 页码: 5625-5663
作者:  Cui, Jianbo;  Hong, Jialin;  Liu, Zhihui;  Zhou, Weien
收藏  |  浏览/下载：158/0  |  提交时间：2019/03/11
Stochastic nonlinear Schrodinger equation  Strong convergence rate  Exponential integrability  Splitting scheme  Non-monotone coefficients  
Local energy- and momentum-preserving schemes for Klein-Gordon-Schrodinger equations and convergence analysis 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2017, 卷号: 33, 期号: 4, 页码: 1329-1351
作者:  Cai, Jiaxiang;  Hong, Jialin;  Wang, Yushun
收藏  |  浏览/下载：105/0  |  提交时间：2018/07/30
conservation law  convergence analysis  Klein-Gordon-Schrodinger equations  local structure  structure-preserving algorithm  
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：137/0  |  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  
High-order compact splitting multisymplectic method for the coupled nonlinear Schrodinger equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 卷号: 61, 期号: 2, 页码: 319-333
作者:  Ma, Yuanping;  Kong, Linghua;  Hong, Jialin;  Cao, Ying
收藏  |  浏览/下载：96/0  |  提交时间：2018/07/30
High-order compact  Coupled nonlinear Schrodinger equation  Splitting multisymplectic integrator  Conservation law  
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：123/0  |  提交时间：2018/07/30
Schrodinger equation with trapped term  multi-symplectic scheme  Fourier spectral method  conservation law  split-step method  
Multi-symplectic Runge-Kutta-Nystrom methods for nonlinear Schrodinger equations with variable coefficients 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 卷号: 226, 期号: 2, 页码: 1968-1984
作者:  Hong, Jialin;  Liu, Xiao-yan;  Li, Chun
收藏  |  浏览/下载：83/0  |  提交时间：2018/07/30
Nonlinear Schrodinger equations  multi-symplectic conservation law  Runge-Kutta-Nystrom methods  charge conservation law  
Explicit multi-symplectic methods for Hamiltonian wave equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2007, 卷号: 2, 期号: 4, 页码: 662-683
作者:  Hong, Jialin;  Jiang, Shanshan;  Li, Chun;  Liu, Hongyu
收藏  |  浏览/下载：112/0  |  提交时间：2018/07/30
Hamiltonian wave equations  multi-symplectic integration  symplectic Runge-Kutta methods  symplectic Runge-Kutta-Nystrom methods  
Multi-symplectic Runge-Kutta methods for nonlinear dirac equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 卷号: 211, 期号: 2, 页码: 448-472
作者:  Hong, JL;  Li, C
收藏  |  浏览/下载：80/0  |  提交时间：2018/07/30
multi-symplectic Runge-Kutta methods  conservation laws  nonlinear dirac equations  
A novel numerical approach to simulating nonlinear Schrodinger equations with varying coefficients 期刊论文
APPLIED MATHEMATICS LETTERS, 2003, 卷号: 16, 期号: 5, 页码: 759-765
作者:  Hong, JL;  Liu, Y
收藏  |  浏览/下载：72/0  |  提交时间：2018/07/30
multisymplecticity  nonlinear Schrodinger equation  quasi-periodic solitary waves  
Almost periodic type solutions of some differential equations with piecewise constant argument 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 卷号: 45, 期号: 6, 页码: 661-688
作者:  Hong, JL;  Obaya, R;  Sanz, A
收藏  |  浏览/下载：75/0  |  提交时间：2018/07/30
pseudo-almost periodic solutions  pseudo-almost periodic sequences  generalized pseudo-almost periodic solutions  generalized pseudo-almost periodic sequences  exponential dichotomy  piecewise constant argument  neutral and non-neutral differential equations