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CONVERGENCE ANALYSIS OF INEXACT TWO-GRID METHODS: A THEORETICAL FRAMEWORK 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 1, 页码: 133-156
作者:  Xu, Xuefeng;  Zhang, Chen-Song
收藏  |  浏览/下载:148/0  |  提交时间:2022/04/29
multigrid  inexact two-grid methods  convergence factor  eigenvalue analysis  
RUNGE-KUTTA SEMIDISCRETIZATIONS FOR STOCHASTIC MAXWELL EQUATIONS WITH ADDITIVE NOISE 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 2, 页码: 702-727
作者:  Chen, Chuchu;  Hong, Jialin;  Ji, Lihai
收藏  |  浏览/下载:171/0  |  提交时间:2020/01/10
stochastic Maxwell equations  stochastic Runge-Kutta semidiscretization  stochastic symplecticity  mean-square convergence order  
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:144/0  |  提交时间:2020/01/10
stochastic delay differential equation  invariant measure  ergodicity  weak convergence order  Malliavin calculus  Poisson random measure  
MEAN-SQUARE CONVERGENCE OF A SEMIDISCRETE SCHEME FOR STOCHASTIC MAXWELL EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 2, 页码: 728-750
作者:  Chen, Chuchu;  Hong, Jialin;  Ji, Lihai
收藏  |  浏览/下载:156/0  |  提交时间:2020/01/10
mean-square convergence order  semidiscrete scheme  stochastic Maxwell equations  regularity  
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:173/0  |  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  
A NEW HDG METHOD FOR DIRICHLET BOUNDARY CONTROL OF CONVECTION DIFFUSION PDEs II: LOW REGULARITY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 4, 页码: 2262-2287
作者:  Gong, Wei;  Hu, Weiwei;  Mateos, Mariano;  Singler, John;  Zhang, Xiao;  Zhang, Yangwen
收藏  |  浏览/下载:185/0  |  提交时间:2018/10/07
Dirichlet boundary control  hybridizable discontinuous Galerkin method (HDG)  error analysis  low regularity  convection diffusion  
EXPLICIT theta-SCHEMES FOR MEAN-FIELD BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 4, 页码: 2672-2697
作者:  Sun, Yabing;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载:157/0  |  提交时间:2018/10/07
mean-field backward stochastic differential equation  theta-schemes  error estimates  
STOCHASTIC CONVERGENCE OF A NONCONFORMING FINITE ELEMENT METHOD FOR THE THIN PLATE SPLINE SMOOTHER FOR OBSERVATIONAL DATA 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 2, 页码: 635-659
作者:  Chen, Zhiming;  Tuo, Rui;  Zhang, Wenlong
收藏  |  浏览/下载:163/0  |  提交时间:2018/07/30
thin plate spline  Morley element  stochastic convergence  optimal parameter choice  
A TWO-LEVEL OVERLAPPING HYBRID DOMAIN DECOMPOSITION METHOD FOR EIGENVALUE PROBLEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 1, 页码: 344-368
作者:  Wang, Wei;  Xu, Xuejun
收藏  |  浏览/下载:149/0  |  提交时间:2018/07/30
eigenvalue problem  finite elements  two-level overlapping domain decomposition  
HIGH ORDER CONFORMAL SYMPLECTIC AND ERGODIC SCHEMES FOR THE STOCHASTIC LANGEVIN EQUATION VIA GENERATING FUNCTIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 卷号: 55, 期号: 6, 页码: 3006-3029
作者:  Hong, Jialin;  Sun, Liying;  Wang, Xu
收藏  |  浏览/下载:115/0  |  提交时间:2018/07/30
stochastic Langevin equation  conformal symplectic scheme  generating function  ergodicity  weak convergence