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Convergence of adaptive nonconforming finite element method for Stokes optimal control problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 412, 页码: 23
作者:  Shen, Yue;  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载：103/0  |  提交时间：2023/02/07
Optimal control problem  Stokes equations  Control constraints  Adaptive nonconforming finite element method  Convergence and quasi-optimality  
Model-Free Reinforcement Learning by Embedding an Auxiliary System for Optimal Control of Nonlinear Systems 期刊论文
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2022, 卷号: 33, 期号: 4, 页码: 1520-1534
作者:  Xu, Zhenhui;  Shen, Tielong;  Cheng, Daizhan
收藏  |  浏览/下载：119/0  |  提交时间：2022/06/21
Mathematical model  Trajectory  Heuristic algorithms  Optimal control  System dynamics  Artificial neural networks  Convergence  Approximate optimal control design  auxiliary trajectory  completely model-free  integral reinforcement learning (IRL)  
Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 163, 页码: 126-146
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya
收藏  |  浏览/下载：177/0  |  提交时间：2021/04/26
Fractional optimal control problem  Numerical discretizations  Block two-by-two linear system  Preconditioning  Spectral bounds  Krylov subspace iteration methods  Convergence property  
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：185/0  |  提交时间：2020/06/30
Cox-Ingersoll-Ross model  Fractional Brownian motion  Backward Euler scheme  Optimal strong convergence rate  Malliavin calculus  
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：242/0  |  提交时间：2020/01/10
optimal control problem  elliptic equation  Dirichlet boundary control  energy space  adaptive finite element method  convergence  
Convergence and quasi-optimality of an adaptive finite element method for elliptic Robin boundary control problem 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 356, 页码: 1-21
作者:  Shen, Yue;  Yan, Ningning;  Zhou, Zhaojie
收藏  |  浏览/下载：226/0  |  提交时间：2020/01/10
Elliptic optimal control problem  Robin boundary control  Adaptive finite element method  Convergence and quasi-optimality  
The preconditioned iterative methods with variable parameters for saddle point problem 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2018, 卷号: 334, 页码: 152-167
作者:  Huang, Na;  Ma, Chang-Feng
收藏  |  浏览/下载：349/0  |  提交时间：2018/07/30
Saddle point problem  Preconditioned iterative method  Variable parameters  Optimal parameter  Convergence  
Optimal distributed stochastic mirror descent for strongly convex optimization 期刊论文
AUTOMATICA, 2018, 卷号: 90, 页码: 196-203
作者:  Yuan, Deming;  Hong, Yiguang;  Ho, Daniel W. C.;  Jiang, Guoping
收藏  |  浏览/下载：185/0  |  提交时间：2018/07/30
Distributed stochastic optimization  Strong convexity  Non-Euclidean divergence  Mirror descent  Epoch gradient descent  Optimal convergence rate  
A MULTILEVEL CORRECTION TYPE OF ADAPTIVE FINITE ELEMENT METHOD FOR EIGENVALUE PROBLEMS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 卷号: 40, 期号: 6, 页码: A4208-A4235
作者:  Hong, Qichen;  Xie, Hehu;  Xu, Fei
收藏  |  浏览/下载：205/0  |  提交时间：2019/03/05
eigenvalue problem  multilevel correction  adaptive finite element method  convergence  optimal complexity  
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：188/0  |  提交时间：2018/07/30
thin plate spline  Morley element  stochastic convergence  optimal parameter choice