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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
收藏  |  浏览/下载：162/0  |  提交时间：2019/01/11
convergence property  HSS iteration  matrix splitting  preconditioning  respective scaling  spatial fractional diffusion equation  
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
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya;  Pan, Jian-Yu
收藏  |  浏览/下载：155/0  |  提交时间：2018/07/30
convergence  Krylov subspace method  matrix splitting iteration  preconditioning  spatial fractional diffusion equation  spectral analysis  
Three semi-discrete integrable systems related to orthogonal polynomials and their generalized determinant solutions 期刊论文
NONLINEARITY, 2015, 卷号: 28, 期号: 7, 页码: 2279-2306
作者:  Chen, Xiao-Min;  Chang, Xiang-Ke;  Sun, Jian-Qing;  Hu, Xing-Biao;  Yeh, Yeong-Nan
收藏  |  浏览/下载：116/0  |  提交时间：2018/07/30
generalized determinant solutions  combinatorial interpretations  semi-discrete integrable system  orthogonal polynomials  
Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 卷号: 435, 期号: 5, 页码: 1157-1170
作者:  Liu, X.;  McKee, S.;  Yuan, J. Y.;  Yuan, Y. X.
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
1-Norm uniform upper bound  Inverse of lower triangular Toeplitz matrix  Brunner's conjecture  Abel equation  
On sinc discretization and banded preconditioning for linear third-order ordinary differential equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2011, 卷号: 18, 期号: 3, 页码: 471-497
作者:  Bai, Zhong-Zhi;  Chan, Raymond H.;  Ren, Zhi-Ru
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
third-order ordinary differential equation  sinc-collocation discretization  sinc-Galerkin discretization  convergence analysis  banded preconditioning  Krylov subspace methods  
ON PRECONDITIONED ITERATIVE METHODS FOR CERTAIN TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2009, 卷号: 47, 期号: 2, 页码: 1019-1037
作者:  Bai, Zhong-Zhi;  Huang, Yu-Mei;  Ng, Michael K.
收藏  |  浏览/下载：126/0  |  提交时间：2018/07/30
time-dependent partial differential equation  sinc-Galerkin discretization  Toeplitz- like matrix  preconditioning  eigenvalue bound  GMRES method  
On preconditioned iterative methods for Burgers equations 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2007, 卷号: 29, 期号: 1, 页码: 415-439
作者:  Bai, Zhong-Zhi;  Huang, Yu-Mei;  Ng, Michael K.
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
Burgers equation  Sinc-Galerkin discretization  Toeplitz-like matrices  preconditioners  GMRES method