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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  
A CRANK-NICOLSON FINITE ELEMENT METHOD AND THE OPTIMAL ERROR ESTIMATES FOR THE MODIFIED TIME-DEPENDENT MAXWELL-SCHRODINGER EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 1, 页码: 369-396
作者:  Ma, Chupeng;  Cao, Liqun
收藏  |  浏览/下载：150/0  |  提交时间：2018/07/30
Maxwell-Schrodinger equations  finite element method  Crank-Nicolson scheme  optimal error estimate  
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  
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：101/0  |  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：138/0  |  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  
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：73/0  |  提交时间：2018/07/30
multisymplecticity  nonlinear Schrodinger equation  quasi-periodic solitary waves