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A splitting semi-implicit Euler method for stochastic incompressible Euler equations on T-2 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 页码: 29
作者:  Hong, Jialin;  Sheng, Derui;  Zhou, Tau
收藏  |  浏览/下载：90/0  |  提交时间：2023/02/07
stochastic incompressible Euler equation  convergence order  splitting semi-implicit Euler method  
A line search penalty-free SQP method for equality-constrained optimization without Maratos effect 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 卷号: 42, 期号: 4, 页码: 3771-3802
作者:  Chen, Zhongwen;  Dai, Yu-Hong;  Zhang, Tauyou
收藏  |  浏览/下载：92/0  |  提交时间：2023/02/07
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：133/0  |  提交时间：2022/06/21
density  convergence order  accelerated exponential Euler scheme  stochastic heat equation  Malliavin calculus  
Optimal rate of convergence for two classes of schemes to stochastic differential equations driven by fractional Brownian motions 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 卷号: 41, 期号: 2, 页码: 1608-1638
作者:  Hong, Jialin;  Huang, Chuying;  Wang, Xu
收藏  |  浏览/下载：161/0  |  提交时间：2021/10/26
fractional Brownian motion  strong convergence rate  Runge-Kutta method  simplified step-N Euler scheme  
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：168/0  |  提交时间：2021/04/26
Dirichlet boundary control  parabolic equation  finite element method  maximal L-p-regularity  
A multi-level mixed element scheme of the two-dimensional Helmholtz transmission eigenvalue problem 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2020, 卷号: 40, 期号: 1, 页码: 686-707
作者:  Xi, Yingxia;  Ji, Xia;  Zhang, Shuo
收藏  |  浏览/下载：159/0  |  提交时间：2020/09/23
mixed finite element method  transmission eigenvalue  multi-level scheme  
An exact penalty method for semidefinite-box-constrained low-rank matrix optimization problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2020, 卷号: 40, 期号: 1, 页码: 563-586
作者:  Liu, Tianxiang;  Lu, Zhaosong;  Chen, Xiaojun;  Dai, Yu-Hong
收藏  |  浏览/下载：150/0  |  提交时间：2020/09/23
rank constrained optimization  non-Lipschitz penalty  nonmonotone proximal gradient  penalty method  
Regularized HSS iteration methods for stabilized saddle-point problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 1888-1923
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载：213/0  |  提交时间：2020/01/10
stabilized saddle-point problem  Hermitian and skew-Hermitian splitting  stationary iteration method  inexact implementation  preconditioning  convergence  
Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen-Cahn equation 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 2096-2134
作者:  Brehier, Charles-Edouard;  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载：196/0  |  提交时间：2020/01/10
stochastic Allen-Cahn equation  splitting scheme  strong convergence rate  exponential integrability  
A convergent adaptive finite element method for elliptic Dirichlet boundary control problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 1985-2015
作者:  Gong, Wei;  Liu, Wenbin;  Tan, Zhiyu;  Yan, Ningning
收藏  |  浏览/下载：235/0  |  提交时间：2020/01/10
optimal control problem  elliptic equation  Dirichlet boundary control  energy space  adaptive finite element method  convergence