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Accelerated exponential Euler scheme for stochastic heat equation: convergence rate of the density 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 页码: 40
作者:  Chen, Chuchu;  Cui, Jianbo;  Hong, Jialin;  Sheng, Derui
收藏  |  浏览/下载：104/0  |  提交时间：2022/06/21
density  convergence order  accelerated exponential Euler scheme  stochastic heat equation  Malliavin calculus  
Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 卷号: 235, 期号: 17, 页码: 4937-4948
作者:  Kong, Linghua;  Hong, Jialin;  Fu, Fangfang;  Chen, Jing
收藏  |  浏览/下载：93/0  |  提交时间：2018/07/30
Gross-Pitaevskii equation  Symplectic integrator  Splitting symplectic integrator  Conservation laws  
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  
DISCRETE GRADIENT APPROACH TO STOCHASTIC DIFFERENTIAL EQUATIONS WITH A CONSERVED QUANTITY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2011, 卷号: 49, 期号: 5, 页码: 2017-2038
作者:  Hong, Jialin;  Zhai, Shuxing;  Zhang, Jingjing
收藏  |  浏览/下载：79/0  |  提交时间：2018/07/30
stochastic differential equation in the Stratonovich sense  conserved quantity  discrete gradient  splitting technique  mean-square convergence  
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  
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  
Symplectic integrator for nonlinear high order Schrodinger equation with a trapped term 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 231, 期号: 2, 页码: 664-679
作者:  Kong, Linghua;  Hong, Jialin;  Wang, Lan;  Fu, Fangfang
收藏  |  浏览/下载：107/0  |  提交时间：2018/07/30
Schrodinger equation  Symplectic scheme  Conservation law  Trapped term  
Accuracy of classical conservation laws for Hamiltonian PDEs under Runge-Kutta discretizations 期刊论文
NUMERISCHE MATHEMATIK, 2009, 卷号: 112, 期号: 1, 页码: 1-23
作者:  Hong, Jialin;  Jiang, Shanshan;  Li, Chun
收藏  |  浏览/下载：98/0  |  提交时间：2018/07/30
DYNAMICS AND VARIATIONAL INTEGRATORS OF STOCHASTIC HAMILTONIAN SYSTEMS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2009, 卷号: 6, 期号: 4, 页码: 586-602
作者:  Wang, Lijin;  Hong, Jialin;  Scherer, Rudolf;  Bai, Fengshan
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
Hamilton's principle  stochastic Hamiltonian systems  symplectic methods  variational integrators  
Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations 期刊论文
NUMERISCHE MATHEMATIK, 2008, 卷号: 110, 期号: 4, 页码: 491-519
作者:  Hong, Jialin;  Sun, Yajuan
收藏  |  浏览/下载：85/0  |  提交时间：2018/07/30