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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 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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View/Download:108/0
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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
Weighted integral solvers for elastic scattering by open arcs in two dimensions
期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2021, 页码: 18
Authors:
Bruno, Oscar P.
;
Xu, Liwei
;
Yin, Tao
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View/Download:83/0
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Submit date:2021/04/26
Calderó
n relation
elasticity
open arc
second‐
kind integral solver
Diagonalization-based parallel-in-time algorithms for parabolic PDE-constrained optimization problems
期刊论文
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2020, 卷号: 26, 页码: 26
Authors:
Wu, Shu-Lin
;
Zhou, Tao
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View/Download:93/0
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Submit date:2021/04/26
Parabolic PDE-constrained optimization
PinT algorithm
diagonalization technique
preconditioner
GMRES
BiCGStab
Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 404, 页码: 13
Authors:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
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View/Download:109/0
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Submit date:2020/05/24
Spatial fractional diffusion equations
Shifted finite-difference discretization
Block Toeplitz-like matrix
Block circulant-like matrix
Preconditioning
Eigenvalue distribution
Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces
期刊论文
NUMERICAL ALGORITHMS, 2019, 卷号: 82, 期号: 4, 页码: 1251-1277
Authors:
Bai, Zhong-Zhi
;
Miao, Cun-Qiang
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View/Download:92/0
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Submit date:2020/05/24
Hermitian eigenproblem
Krylov subspace method
Inexact iteration
Convergence property
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
Authors:
Bai, Zhong-Zhi
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View/Download:141/0
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Submit date:2020/01/10
stabilized saddle-point problem
Hermitian and skew-Hermitian splitting
stationary iteration method
inexact implementation
preconditioning
convergence
Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations
期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 卷号: 25, 期号: 5, 页码: 18
Authors:
Bai, Zhong-Zhi
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View/Download:117/0
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Submit date:2019/01/11
convergence property
HSS iteration
matrix splitting
preconditioning
respective scaling
spatial fractional diffusion equation
Diagonal and circulant or skew-circulant splitting preconditioners for spatial fractional diffusion equations
期刊论文
COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 卷号: 37, 期号: 4, 页码: 4196-4218
Authors:
Lu, Kang-Ya
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View/Download:107/0
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Submit date:2018/10/07
Circulant matrix
Skew-circulant matrix
Preconditioning
Spatial fractional diffusion equations
Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts
期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 卷号: 25, 期号: 4, 页码: 19
Authors:
Bai, Zhong-Zhi
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View/Download:82/0
  |  
Submit date:2019/12/13
convergence
Hermitian and skew-Hermitian splitting
iteration method
preconditioning
system of linear equations
Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems
期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 10, 页码: 2423-2437
Authors:
Huang, Na
;
Ma, Chang-Feng
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View/Download:395/110
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Submit date:2018/07/25
PDE-constrained optimization
Saddle point matrices
Preconditioner
Cholesky decomposition
Spectral bound