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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  
Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 451, 页码: 20
作者:  Hong, Jialin;  Hou, Baohui;  Sun, Liying
收藏  |  浏览/下载:123/0  |  提交时间:2022/04/29
Compact finite difference method  Interior penalty discontinuous Galerkin finite element method  Pade approximation  Averaged energy evolution law  Stochastic wave equation  Multiplicative noise  
ON GLOBAL EXISTENCE AND BLOW-UP FOR DAMPED STOCHASTIC NONLINEAR SCHRODINGER EQUATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 卷号: 24, 期号: 12, 页码: 6837-6854
作者:  Cui, Jianbo;  Hong, Jialin;  Sun, Liying
收藏  |  浏览/下载:206/0  |  提交时间:2020/01/10
Stochastic nonlinear Schrodinger equation  multiplicative noise  global existence  blow-up  exponential integrability  
CONVERGENCE ANALYSIS OF A SYMPLECTIC SEMI-DISCRETIZATION FOR STOCHASTIC NLS EQUATION WITH QUADRATIC POTENTIAL 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 卷号: 24, 期号: 8, 页码: 4295-4315
作者:  Hong, Jialin;  Miao, Lijun;  Zhang, Liying
收藏  |  浏览/下载:164/0  |  提交时间:2020/01/10
Stochastic nonlinear Schrodinger equation  quadratic potential  additive noise  stochastic symplectic scheme  convergence analysis  
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  
PARAREAL EXPONENTIAL theta-SCHEME FOR LONGTIME SIMULATION OF STOCHASTIC SCHRODINGER EQUATIONS WITH WEAK DAMPING 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 6, 页码: B1155-B1177
作者:  Hong, Jialin;  Wang, Xu;  Zhang, Liying
收藏  |  浏览/下载:128/0  |  提交时间:2020/09/23
stochastic Schrodinger equation  parareal algorithm  exponential theta-scheme  invariant measure  
Invariant Measures for Stochastic Nonlinear Schrodinger Equations Numerical Approximations and Symplectic Structures Preface 期刊论文
INVARIANT MEASURES FOR STOCHASTIC NONLINEAR SCHRODINGER EQUATIONS: NUMERICAL APPROXIMATIONS AND SYMPLECTIC STRUCTURES, 2019, 卷号: 2251, 页码: V-+
作者:  Hong, Jialin;  Wang, Xu
收藏  |  浏览/下载:126/0  |  提交时间:2020/05/24
Invariant Measures for Stochastic Differential Equations 期刊论文
INVARIANT MEASURES FOR STOCHASTIC NONLINEAR SCHRODINGER EQUATIONS: NUMERICAL APPROXIMATIONS AND SYMPLECTIC STRUCTURES, 2019, 卷号: 2251, 页码: 31-61
作者:  Hong, Jialin;  Wang, Xu
收藏  |  浏览/下载:103/0  |  提交时间:2020/05/24
Invariant Measures and Ergodicity 期刊论文
INVARIANT MEASURES FOR STOCHASTIC NONLINEAR SCHRODINGER EQUATIONS: NUMERICAL APPROXIMATIONS AND SYMPLECTIC STRUCTURES, 2019, 卷号: 2251, 页码: 1-29
作者:  Hong, Jialin;  Wang, Xu
收藏  |  浏览/下载:110/0  |  提交时间:2020/05/24
Basic Inequalities 期刊论文
INVARIANT MEASURES FOR STOCHASTIC NONLINEAR SCHRODINGER EQUATIONS: NUMERICAL APPROXIMATIONS AND SYMPLECTIC STRUCTURES, 2019, 卷号: 2251, 页码: 181-190
作者:  Hong, Jialin;  Wang, Xu
收藏  |  浏览/下载:112/0  |  提交时间:2020/05/24