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CLT for approximating ergodic limit of SPDEs via a full discretization 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2023, 卷号: 157, 页码: 1-41
作者:  Chen, Chuchu;  Dang, Tonghe;  Hong, Jialin;  Zhou, Tau
收藏  |  浏览/下载：125/0  |  提交时间：2023/02/07
Central limit theorem  Stochastic partial differential equation  Full discretization  Poisson equation  Ergodic limit  
Endpoint Sobolev Theory for the Muskat Equation 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2022, 页码: 60
作者:  Alazard, Thomas;  Quoc-Hung Nguyen
收藏  |  浏览/下载：48/0  |  提交时间：2023/02/07

On the dynamics of the roots of polynomials under differentiation

 期刊论文
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2022, 卷号: 162, 页码: 1-22
作者:  Alazard, Thomas;  Lazar, Omar;  Nguyen, Quoc Hung
收藏  |  浏览/下载：62/0  |  提交时间：2023/02/07
Transport equations  Nonlocal operators  Well-posedness  Regularity  
Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations 期刊论文
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2022, 页码: 39
作者:  Roeckner, Michael;  Xie, Longjie;  Yang, Li
收藏  |  浏览/下载：111/0  |  提交时间：2022/04/29
Stochastic hyperbolic-parabolic equations  Averaging principle  Strong and weak convergence  Homogenization  
A MULTISCALE PARALLEL ALGORITHM FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATION IN COMPOSITE MEDIA 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2022, 卷号: 19, 期号: 4, 页码: 542-562
作者:  Zhai, Fangman;  Cao, Liqun
收藏  |  浏览/下载：59/0  |  提交时间：2023/02/07
Parabolic integro-differential equation  the multiscale asymptotic method  Laplace transformation  composite media  
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：122/0  |  提交时间：2021/10/26
Weak convergence  Invariant measure  Kolmogorov equation  Malliavin calculus  
A WONG-ZAKAI THEOREM FOR THE STOCHASTIC MASS-CRITICAL NONLINEAR SCHRODINGER EQUATION 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 3, 页码: 3681-3715
作者:  Fan, Chenjie;  Xu, Weijun
收藏  |  浏览/下载：105/0  |  提交时间：2021/10/26
Wong-Zakai  mass-critical  stochastic NLS  
Improved error estimates for semidiscrete finite element solutions of parabolic Dirichlet boundary control problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2020, 卷号: 40, 期号: 4, 页码: 2898-2939
作者:  Gong, Wei;  Li, Buyang
收藏  |  浏览/下载：137/0  |  提交时间：2021/04/26
Dirichlet boundary control  parabolic equation  finite element method  maximal L-p-regularity  
Global weak solutions to Landau-Lifshitz equations into compact Lie algebras 期刊论文
FRONTIERS OF MATHEMATICS IN CHINA, 2019, 页码: 34
作者:  Jia, Zonglin;  Wang, Youde
收藏  |  浏览/下载：168/0  |  提交时间：2020/05/24
Landau-Lifshitz (LL) equations  Lie algebra  test functions  
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：164/0  |  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