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Convergence rate of multiscale finite element method for various boundary problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 卷号: 374, 页码: 8
Authors:  Ye, Changqing;  Dong, Hao;  Cui, Junzhi
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Multiscale finite element method  Boundary problems  Hemivariational inequality  Homogenization theory  Numerical convergence rate  
Vanishing contact structure problem and convergence of the viscosity solutions 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2019, 卷号: 44, 期号: 9, 页码: 801-836
Authors:  Chen, Qinbo;  Cheng, Wei;  Ishii, Hitoshi;  Zhao, Kai
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Hamilton-Jacobi equation  convergence  vanishing discount  vanishing contact structure  Weak KAM theory  Aubry-Mather theory  
On preconditioned iteration methods for complex linear systems 期刊论文
JOURNAL OF ENGINEERING MATHEMATICS, 2015, 卷号: 93, 期号: 1, 页码: 41-60
Authors:  Bai, Zhong-Zhi
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Complex symmetric linear system  Convergence theory  PMHSS iteration  Preconditioning  Real reformulation  Spectral properties  
ON EIGENVALUE BOUNDS AND ITERATION METHODS FOR DISCRETE ALGEBRAIC RICCATI EQUATIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2011, 卷号: 29, 期号: 3, 页码: 341-366
Authors:  Dai, Hua;  Bai, Zhong-Zhi
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Discrete algebraic Riccati equation  Symmetric positive definite solution  Eigenvalue bound  Fixed-point iteration  Convergence theory  
On convergence conditions of waveform relaxation methods for linear differential-algebraic equations 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 卷号: 235, 期号: 8, 页码: 2790-2804
Authors:  Bai, Zhong-Zhi;  Yang, Xi
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Differential-algebraic equations  Laplace transform  Waveform relaxation method  Convergence theory  
On preconditioned MHSS iteration methods for complex symmetric linear systems 期刊论文
NUMERICAL ALGORITHMS, 2011, 卷号: 56, 期号: 2, 页码: 297-317
Authors:  Bai, Zhong-Zhi;  Benzi, Michele;  Chen, Fang
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Complex symmetric linear system  MHSS iteration  Preconditioning  Convergence theory  Spectral properties  
Finite element approximations of nonlinear eigenvalue problems in quantum physics 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2011, 卷号: 200, 期号: 21-22, 页码: 1846-1865
Authors:  Chen, Huajie;  He, Lianhua;  Zhou, Aihui
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Adaptive computation  Convergence  Complexity  Density functional theory  Finite element  Nonlinear eigenvalue problem  
Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 232, 期号: 1, 页码: 3-16
Authors:  Krukier, Lev A.;  Martynova, Tatiana S.;  Bai, Zhong-Zhi
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Hermitian and skew-Hermitian splitting  Product-type skew-Hermitian triangular splitting  Splitting iteration method  Krylov subspace method  Convergence theory  
A simple decomposition algorithm for support vector machines with polynomial-time convergence 期刊论文
PATTERN RECOGNITION, 2007, 卷号: 40, 期号: 9, 页码: 2543-2549
Authors:  Qiao, Hong;  Wang, Yan-Guo;  Zhang, Bo
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support vector machines  decomposition methods  convergence  statistical learning theory  pattern recognition  
Skew-Hermitian triangular splitting iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts 期刊论文
BIT NUMERICAL MATHEMATICS, 2004, 卷号: 44, 期号: 2, 页码: 363-386
Authors:  Wang, L;  Bai, ZZ
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Hermitian and skew-Hermitian splitting  triangular splitting  splitting iteration method  Krylov subspace method  convergence theory