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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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A UNIFORM SPECTRAL ANALYSIS FOR A PRECONDITIONED ALL-AT-ONCE SYSTEM FROM FIRST-ORDER AND SECOND-ORDER EVOLUTIONARY PROBLEMS
期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2022, 卷号: 43, 期号: 3, 页码: 1331-1353
作者:
Wu, Shu-Lin
;
Zhou, Tao
;
Zhou, Zhi
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浏览/下载:71/0
  |  
提交时间:2023/02/07
time-parallel algorithm
diagonalization technique
alpha-circulant preconditioner
stability
spectral analysis
Runge-Kutta method
two-step methods
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
作者:
Wu, Shu-Lin
;
Zhou, Tao
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浏览/下载:149/0
  |  
提交时间:2021/04/26
Parabolic PDE-constrained optimization
PinT algorithm
diagonalization technique
preconditioner
GMRES
BiCGStab
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
作者:
Bai, Zhong-Zhi
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浏览/下载:183/0
  |  
提交时间:2020/01/10
stabilized saddle-point problem
Hermitian and skew-Hermitian splitting
stationary iteration method
inexact implementation
preconditioning
convergence
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
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浏览/下载:310/0
  |  
提交时间:2018/07/30
Saddle point problem
Preconditioned iterative method
Variable parameters
Optimal parameter
Convergence
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
作者:
Huang, Na
;
Ma, Chang-Feng
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浏览/下载:848/153
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提交时间:2018/07/25
PDE-constrained optimization
Saddle point matrices
Preconditioner
Cholesky decomposition
Spectral bound
NOVEL MULTILEVEL PRECONDITIONERS FOR THE SYSTEMS ARISING FROM PLANE WAVE DISCRETIZATION OF HELMHOLTZ EQUATIONS WITH LARGE WAVE NUMBERS
期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 卷号: 39, 期号: 4, 页码: A1675-A1709
作者:
Hu, Qiya
;
Li, Xuan
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浏览/下载:93/0
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提交时间:2018/07/30
Helmholtz equation
large wave numbers
plane wave methods
multilevel overlapping domain decomposition
multilevel overlapping preconditioner
smoothers
SUBSTRUCTURING PRECONDITIONERS FOR THE SYSTEMS ARISING FROM PLANE WAVE DISCRETIZATION OF HELMHOLTZ EQUATIONS
期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2016, 卷号: 38, 期号: 4, 页码: A2232-A2261
作者:
Hu, Qiya
;
Zhang, Haiyang
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浏览/下载:113/0
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提交时间:2018/07/30
Helmholtz equation
large wave number
plane wave discretization
nonoverlapping domain decomposition
parallel preconditioner
iteration counts
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
作者:
Ren Zhiru
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浏览/下载:96/0
  |  
提交时间:2021/01/14
PRECONDITIONED ITERATIVE METHODS
SYSTEMS
FLOWS
third-order ordinary differential equation
order-reduced method
sinc discretization
preconditioner
Krylov subspace method
LOCAL MULTILEVEL METHODS FOR SECOND-ORDER ELLIPTIC PROBLEMS WITH HIGHLY DISCONTINUOUS COEFFICIENTS
期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2012, 卷号: 30, 期号: 3, 页码: 223-248
作者:
Chen Huangxin
;
Xu Xuejun
;
Zheng Weiying
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浏览/下载:122/0
  |  
提交时间:2021/01/14
BOUNDARY-VALUE-PROBLEMS
WEIGHTED L2 PROJECTION
FINITE-ELEMENT METHODS
MULTIGRID V-CYCLE
DOMAIN DECOMPOSITION
3 DIMENSIONS
ITERATIVE METHODS
ERROR ESTIMATORS
SCHWARZ METHODS
REFINED MESHES
Local multilevel method
Adaptive finite element method
Preconditioned conjugate gradient method
Discontinuous coefficients
BANDED TOEPLITZ PRECONDITIONERS FOR TOEPLITZ MATRICES FROM SINC METHODS
期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2012, 卷号: 30, 期号: 5, 页码: 533-543
作者:
Ren ZhiRu
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浏览/下载:101/0
  |  
提交时间:2021/01/14
FAST ITERATIVE METHODS
DIFFERENTIAL-EQUATIONS
SYSTEMS
Toeplitz matrix
Banded Toeplitz preconditioner
Generating function
Sinc method
Eigenvalue bounds