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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:116/0
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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
NUMERICAL INVESTIGATION OF ENSEMBLE METHODS WITH BLOCK ITERATIVE SOLVERS FOR EVOLUTION PROBLEMS
期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 卷号: 25, 期号: 12, 页码: 4905-4923
Authors:
Ju, Lili
;
Leng, Wei
;
Wang, Zhu
;
Yuan, Shuai
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View/Download:120/0
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Submit date:2021/01/14
Ensemble method
ensemble-based time stepping
block CG
block GMRES
iterative linear solver
Uzawa methods for a class of block three-by-three saddle-point problems
期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2019, 页码: 26
Authors:
Huang, Na
;
Dai, Yu-Hong
;
Hu, QiYa
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View/Download:145/0
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Submit date:2020/01/10
inexact Uzawa method
saddle-point problem
Uzawa method
Analysis on block diagonal and triangular preconditioners for a PML system of an electromagnetic scattering problem
期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 11, 页码: 2856-2873
Authors:
Huang, Na
;
Ma, Chang-Feng
;
Zou, Jun
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View/Download:129/0
  |  
Submit date:2018/07/30
Maxwell scattering problem
PML equations
Block triangular preconditioner
Spectral distributions
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:404/111
  |  
Submit date:2018/07/25
PDE-constrained optimization
Saddle point matrices
Preconditioner
Cholesky decomposition
Spectral bound
Comparative study on order-reduced methods for linear third-order ordinary differential equations
期刊论文
FRONTIERS OF MATHEMATICS IN CHINA, 2012, 卷号: 7, 期号: 6, 页码: 1151-1168
Authors:
Ren Zhiru
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View/Download:62/0
  |  
Submit date:2021/01/14
PRECONDITIONED ITERATIVE METHODS
SYSTEMS
FLOWS
third-order ordinary differential equation
order-reduced method
sinc discretization
preconditioner
Krylov subspace method
The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems
期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2008, 卷号: 26, 期号: 2, 页码: 240-249
Authors:
Yin, Junfeng
;
Bai, Zhongzhi
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View/Download:73/0
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Submit date:2018/07/30
block two-by-two linear system
saddle point problem
restrictively preconditioned conjugate gradient method
normal-residual equation
incomplete orthogonal factorization
Multifolded torus chaotic attractors: Design and implementation
期刊论文
CHAOS, 2007, 卷号: 17, 期号: 1, 页码: 12
Authors:
Yu, Simin
;
Lu, Jinhu
;
Chen, Guanrong
;
Chen, Guanrong
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View/Download:63/0
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Submit date:2018/07/30
Restrictive preconditioners for conjugate gradient methods for symmetric positive definite linear systems
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 卷号: 187, 期号: 2, 页码: 202-226
Authors:
Bai, ZZ
;
Wang, ZQ
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View/Download:79/0
  |  
Submit date:2018/07/30
linear system
block two-by-two matrix
symmetric positive definite matrix
restrictive preconditioner
conjugate gradient method
Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices
期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2006, 卷号: 28, 期号: 2, 页码: 583-603
Authors:
Bai, Zhong-Zhi
;
Golub, Gene H.
;
Li, Chi-Kwong
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View/Download:119/0
  |  
Submit date:2018/07/30
non-Hermitian matrix
Hermitian matrix
skew-Hermitian matrix
splitting iteration method
optimal iteration parameter