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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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Optimal convergence of finite element approximation to an optimization problem with PDE constraint*
期刊论文
INVERSE PROBLEMS, 2022, 卷号: 38, 期号: 4, 页码: 45
Authors:
Gong, Wei
;
Tan, Zhiyu
;
Zhou, Zhaojie
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Submit date:2022/04/29
inverse source problem
optimal control
finite element method
a priori error estimate
a posteriori error estimate
adaptivity
rate optimality
Optimal convergence of finite element approximation to an optimization problem with PDE constraint* * Wei Gong was supported by the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB 41000000), the National Key Basic Research Program (Grant No. 2018YFB0704304) and the National Natural Science Foundation of China (Grant No. 12071468, 11671391). Zhaojie Zhou was supported by the National Natural Science Foundation of China under Grant No. 11971276.
期刊论文
Inverse Problems, 2022, 卷号: 38, 期号: 4
Authors:
Gong,Wei
;
Tan,Zhiyu
;
Zhou,Zhaojie
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inverse source problem
optimal control
finite element method
a priori error estimate
a posteriori error estimate
adaptivity
rate optimality
Convergence properties of a restricted Newton-type method for generalized equations with metrically regular mappings
期刊论文
APPLICABLE ANALYSIS, 2022, 卷号: 101, 期号: 1, 页码: 14-34
Authors:
Rashid, M. H.
;
Yuan, Ya-xiang
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Submit date:2022/04/29
Generalized equation
set-valued mappings
metrically regular mappings
restricted Newton-type method
semi-local convergence
On the Asymptotic Convergence and Acceleration of Gradient Methods
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 90, 期号: 1, 页码: 29
Authors:
Huang, Yakui
;
Dai, Yu-Hong
;
Liu, Xin-Wei
;
Zhang, Hongchao
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Submit date:2022/04/02
Gradient methods
Asymptotic convergence
Spectral property
Acceleration of gradient methods
Barzilai-Borwein method
Unconstrained optimization
Quadratic optimization
On Relaxed Greedy Randomized Augmented Kaczmarz Methods for Solving Large Sparse Inconsistent Linear Systems
期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2021, 页码: 10
Authors:
Bai, Zhong-Zhi
;
Wang, Lu
;
Muratova, Galina, V
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Submit date:2022/04/02
System of linear equations
relaxation
augmented linear system
randomized Kaczmarz method
convergence property
The energy-preserving time high-order AVF compact finite difference scheme for nonlinear wave equations in two dimensions
期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 170, 页码: 298-320
Authors:
Hou, Baohui
;
Liang, Dong
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Submit date:2022/04/02
AVF method
CFD operator
Time high-order
Energy conservation
Convergence
Nonlinear wave equations
Convergence of a Distributed Least Squares
期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 卷号: 66, 期号: 10, 页码: 4952-4959
Authors:
Xie, Siyu
;
Zhang, Yaqi
;
Guo, Lei
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Submit date:2022/04/02
Convergence
Estimation
Symmetric matrices
Stochastic processes
Task analysis
Complexity theory
Adaptive control
Convergence
cooperative excitation
diffusion strategies
distributed estimation
least squares (LS)
martingale theory
regret
Positivity-preserving symplectic methods for the stochastic Lotka-Volterra predator-prey model
期刊论文
BIT NUMERICAL MATHEMATICS, 2021, 页码: 28
Authors:
Hong, Jialin
;
Ji, Lihai
;
Wang, Xu
;
Zhang, Jingjing
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Submit date:2022/04/02
Stochastic Lotka-Volterra predator-prey model
Positivity
Stochastic symplecticity
Structure-preserving methods
Convergence order conditions
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
Authors:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
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Submit date:2021/04/26
Fractional optimal control problem
Numerical discretizations
Block two-by-two linear system
Preconditioning
Spectral bounds
Krylov subspace iteration methods
Convergence property
Distributed accelerated descent algorithm for energy resource coordination in multi-agent integrated energy systems
期刊论文
IET GENERATION TRANSMISSION & DISTRIBUTION, 2021, 页码: 13
Authors:
Kou, Yu
;
Wang, Yinghui
;
Bie, Zhaohong
;
Wang, Xu
;
Ding, Tao
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Submit date:2021/04/26