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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：64/0  |  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：61/0  |  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：107/0  |  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：131/0  |  提交时间：2021/10/26
fractional Brownian motion  strong convergence rate  Runge-Kutta method  simplified step-N Euler 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：122/0  |  提交时间：2020/09/23
rank constrained optimization  non-Lipschitz penalty  nonmonotone proximal gradient  penalty method  
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：210/0  |  提交时间：2020/01/10
optimal control problem  elliptic equation  Dirichlet boundary control  energy space  adaptive finite element method  convergence  
Finite element approximations for second-order stochastic differential equation driven by fractional Brownian motion 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2018, 卷号: 38, 期号: 1, 页码: 184-197
作者:  Cao, Yanzhao;  Hong, Jialin;  Liu, Zhihui
收藏  |  浏览/下载：155/0  |  提交时间：2018/07/30
stochastic differential equation of boundary value type  fractional Brownian motion  piecewise constant approximation  finite element approximation  
Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2015, 卷号: 35, 期号: 4, 页码: 1934-1977
作者:  Dai, Xiaoying;  He, Lianhua;  Zhou, Aihui
收藏  |  浏览/下载：120/0  |  提交时间：2018/07/30
adaptive finite element  a posteriori error estimator  convergence rate  complexity  multiple eigenvalue  
Analysis of collocation solutions for a class of functional equations with vanishing delays 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2011, 卷号: 31, 期号: 2, 页码: 698-718
作者:  Brunner, Hermann;  Xie, Hehu;  Zhang, Ran
收藏  |  浏览/下载：121/0  |  提交时间：2018/07/30
functional equation with vanishing delay  q-difference equation  uniqueness and regularity of solution  collocation solutions  optimal order of convergence  integro-functional equation  
Superconvergent derivative recovery for the intermediate finite element family of the second type 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2001, 卷号: 21, 期号: 3, 页码: 643-665
作者:  Zhang, ZM;  Yan, NN;  Sun, T
收藏  |  浏览/下载：77/0  |  提交时间：2018/07/30
finite element methods  integral identity  superconvergent recovery  intermediate family