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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：141/0  |  提交时间：2022/06/21
density  convergence order  accelerated exponential Euler scheme  stochastic heat equation  Malliavin calculus  
Weak convergence and invariant measure of a full discretization for parabolic SPDEs with non-globally Lipschitz coefficients 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021, 卷号: 134, 页码: 55-93
作者:  Cui, Jianbo;  Hong, Jialin;  Sun, Liying
收藏  |  浏览/下载：156/0  |  提交时间：2021/10/26
Weak convergence  Invariant measure  Kolmogorov equation  Malliavin calculus  
Absolute continuity and numerical approximation of stochastic Cahn-Hilliard equation with unbounded noise diffusion 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 11, 页码: 10143-10180
作者:  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载：151/0  |  提交时间：2021/01/14
Stochastic Cahn-Hilliard equation  Unbounded noise diffusion  Malliavin calculus  Numerical approximation  Strong convergence rate  
Optimal strong convergence rate of a backward Euler type scheme for the Cox-Ingersoll-Ross model driven by fractional Brownian motion 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020, 卷号: 130, 期号: 5, 页码: 2675-2692
作者:  Hong, Jialin;  Huang, Chuying;  Kamrani, Minoo;  Wang, Xu
收藏  |  浏览/下载：184/0  |  提交时间：2020/06/30
Cox-Ingersoll-Ross model  Fractional Brownian motion  Backward Euler scheme  Optimal strong convergence rate  Malliavin calculus  
ERGODIC APPROXIMATION TO CHEMICAL REACTION SYSTEM WITH DELAY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 1, 页码: 70-95
作者:  Chen, Chuchu;  Liu, Di
收藏  |  浏览/下载：169/0  |  提交时间：2020/01/10
stochastic delay differential equation  invariant measure  ergodicity  weak convergence order  Malliavin calculus  Poisson random measure  
STRONG AND WEAK CONVERGENCE RATES OF A SPATIAL APPROXIMATION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATION WITH ONE-SIDED LIPSCHITZ COEFFICIENT 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 4, 页码: 1815-1841
作者:  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载：197/0  |  提交时间：2020/01/10
one-sided Lipschitz coefficient  stochastic Allen-Cahn equation  finite element method  strong and weak convergence rate  Kolmogorov equation  Malliavin calculus  
ERROR ANALYSIS FOR D-LEAPING SCHEME OF CHEMICAL REACTION SYSTEM WITH DELAY 期刊论文
MULTISCALE MODELING & SIMULATION, 2017, 卷号: 15, 期号: 4, 页码: 1797-1829
作者:  Chen, Chuchu;  Liu, Di
收藏  |  浏览/下载：152/0  |  提交时间：2018/07/30
stochastic delay differential equation  Poisson random measure  D-leaping  mean-square strong convergence order  weak convergence order  Malliavin calculus  
Strong Feller properties for degenerate SDEs with jumps 期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2016, 卷号: 52, 期号: 2, 页码: 888-897
作者:  Dong, Zhao;  Peng, Xuhui;  Song, Yulin;  Zhang, Xicheng
收藏  |  浏览/下载：188/0  |  提交时间：2018/07/30
Strong Feller property  SDE  Malliavin's calculus  Cylindrical alpha-stable process  Hormander's condition  
WELL-POSEDNESS OF FOKKER-PLANCK TYPE EQUATIONS ON THE WIENER SPACE 期刊论文
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2010, 卷号: 13, 期号: 2, 页码: 273-304
作者:  Luo, Dejun
收藏  |  浏览/下载：138/0  |  提交时间：2018/07/30
Fokker-Planck equation  Malliavin calculus  commutator estimate  stochastic differential equation  
Transportation inequalities for stochastic differential equations of pure jumps 期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2010, 卷号: 46, 期号: 2, 页码: 465-479
作者:  Wu, Liming
收藏  |  浏览/下载：122/0  |  提交时间：2018/07/30
Transportation inequalities  Stochastic differential equations  Malliavin calculus