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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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Spatial fractional diffusion equations  Shifted finite-difference discretization  Block Toeplitz-like matrix  Block circulant-like matrix  Preconditioning  Eigenvalue distribution  
A NOVEL LEAST SQUARES METHOD FOR HELMHOLTZ EQUATIONS WITH LARGE WAVE NUMBERS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 卷号: 58, 期号: 5, 页码: 3091-3123
Authors:  Hu, Qiya;  Song, Rongrong
Favorite  |  View/Download:13/0  |  Submit date:2021/01/14
Helmholtz equations  inhomogeneous media  large wave number  auxiliary unknowns  least squares  error estimates  preconditioner  
An improved Dai-Kou conjugate gradient algorithm for unconstrained optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2019, 页码: 23
Authors:  Liu, Zexian;  Liu, Hongwei;  Dai, Yu-Hong
Favorite  |  View/Download:24/0  |  Submit date:2020/05/24
Conjugate gradient algorithm  Limited memory  Quasi-Newton method  Preconditioned conjugate gradient algorithm  Global convergence  
On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 77, 期号: 9, 页码: 2396-2406
Authors:  Bai, Zhong-Zhi;  Miao, Cun-Qiang;  Jian, Shuai
Favorite  |  View/Download:35/0  |  Submit date:2020/01/10
Hermitian eigenvalue problem  Rayleigh quotient iteration  Multistep modification  Inexact solve  Preconditioning  
An Improved Domain Decomposition Method for Drop Impact Reliability Analysis of 3-D ICs 期刊论文
IEEE TRANSACTIONS ON COMPONENTS PACKAGING AND MANUFACTURING TECHNOLOGY, 2018, 卷号: 8, 期号: 10, 页码: 1788-1799
Authors:  Zhou, Hao;  Zhu, Hengliang;  Cui, Tao;  Pan, David Z.;  Zhou, Dian;  Zeng, Xuan
Favorite  |  View/Download:46/0  |  Submit date:2018/11/16
Domain decomposition (DD)  drop test  reliability  through-silicon via (TSV)  
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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PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2017, 卷号: 24, 期号: 4, 页码: 15
Authors:  Bai, Zhong-Zhi;  Lu, Kang-Ya;  Pan, Jian-Yu
Favorite  |  View/Download:39/0  |  Submit date:2018/07/30
convergence  Krylov subspace method  matrix splitting iteration  preconditioning  spatial fractional diffusion equation  spectral analysis  
A nonmonotone inexact Newton method for unconstrained optimization 期刊论文
OPTIMIZATION LETTERS, 2017, 卷号: 11, 期号: 5, 页码: 947-965
Authors:  Gao, Huan;  Zhang, Hai-Bin;  Li, Zhi-Bao;  Tadjouddine, Emmanuel
Favorite  |  View/Download:12/0  |  Submit date:2018/07/30
Inexact Newton method  Nonmonotone line search  Preconditioned conjugate gradient  Global convergence  
Convergence analysis on multigrid methods for elliptic problems with large jumps in coefficients 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2015, 卷号: 35, 期号: 4, 页码: 1888-1912
Authors:  Zheng, Hui;  Wu, Jinbiao
Favorite  |  View/Download:15/0  |  Submit date:2018/07/30
multigrid method  jump coefficient problem  discrete harmonic extension  nearly singular problem  preconditioned conjugate gradient 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
Authors:  Chen Huangxin;  Xu Xuejun;  Zheng Weiying
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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