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Fast rotated BSOR method for block two-by-two linear systems with application to PDE-constrained optimal control problems
期刊论文
BIT NUMERICAL MATHEMATICS, 2022
作者:
Liang, Zhao-Zheng
;
Dou, Yan
收藏
  |  
浏览/下载:13/0
  |  
提交时间:2022/03/01
Block two-by-two linear system
Kronecker structure
Iterative solution method
Preconditioning
PDE-constrained optimization
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
作者:
Bruno, Oscar P.
;
Xu, Liwei
;
Yin, Tao
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  |  
浏览/下载:61/0
  |  
提交时间: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
作者:
Wu, Shu-Lin
;
Zhou, Tao
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  |  
浏览/下载:9/0
  |  
提交时间: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
作者:
Bai, Zhong-Zhi
;
Lu, Kang-Ya
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  |  
浏览/下载:27/0
  |  
提交时间:2020/05/24
Spatial fractional diffusion equations
Shifted finite-difference discretization
Block Toeplitz-like matrix
Block circulant-like matrix
Preconditioning
Eigenvalue distribution
A limited-memory block bi-diagonal Toeplitz preconditioner for block lower triangular Toeplitz system from time–space fractional diffusion equation
期刊论文
Journal of Computational and Applied Mathematics, 2019, 卷号: 362, 页码: 99-115
作者:
Zhao, Yong-Liang
;
Zhu, Pei-Yong
;
Gu, Xian-Ming
;
Zhao, Xi-Le
;
Cao, Jianxiong
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  |  
浏览/下载:4/0
  |  
提交时间:2020/11/14
Gradient methods
Linear systems
Matrix algebra
Partial differential equations
Circulant preconditioner
Fractional differential equations
Krylov subspace method
Toeplitz matrices
WSGD
A limited-memory block bi-diagonal Toeplitz preconditioner for block lower triangular Toeplitz system from time-space fractional diffusion equation
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 362, 页码: 99-115
作者:
Zhao, Yong-Liang
;
Zhu, Pei-Yong
;
Gu, Xian-Ming
;
Zhao, Xi-Le
;
Cao, Jianxiong
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  |  
浏览/下载:10/0
  |  
提交时间:2019/11/15
Block triangular lower Toeplitz matrix
Skew-circulant preconditioner
Krylov subspace methods
Fractional differential equations
WSGD
L2-1(sigma) formula
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
作者:
Bai, Zhong-Zhi
;
Miao, Cun-Qiang
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  |  
浏览/下载:17/0
  |  
提交时间: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
作者:
Bai, Zhong-Zhi
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  |  
浏览/下载:57/0
  |  
提交时间:2020/01/10
stabilized saddle-point problem
Hermitian and skew-Hermitian splitting
stationary iteration method
inexact implementation
preconditioning
convergence
A multigrid-based preconditioner for solving the Helmholtz equation with average-derivative optimal scheme
期刊论文
CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION, 2019, 卷号: 62, 期号: 7, 页码: 2660-2670
作者:
Yuan YuXin
;
Li AMan
;
Hu Ting
;
Guo Peng
;
Liu Hong
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  |  
浏览/下载:57/0
  |  
提交时间:2019/08/22
Multigrid
Anisotropic problem
Helmholtz equation
Average-derivative optimal scheme
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
作者:
Bai, Zhong-Zhi
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  |  
浏览/下载:19/0
  |  
提交时间:2019/01/11
convergence property
HSS iteration
matrix splitting
preconditioning
respective scaling
spatial fractional diffusion equation
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