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Fast solvers for finite difference scheme of two-dimensional time-space fractional differential equations Journal article
Numerical Algorithms, 2020,Volume: 84,Issue: 1,Page: 37-62
Authors:  Huang,Yun Chi;  Lei,Siu Long
Favorite |  | TC[WOS]:4 TC[Scopus]:4 | Submit date:2021/03/11
Alternating direction implicit scheme  Block lower triangular Toeplitz matrix  Divide-and-conquer  Time-marching  Time-space fractional differential equations  
A Separable Preconditioner for Time-Space Fractional Caputo-Riesz Diffusion Equations Conference paper
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, Univ Macau, Macau, PEOPLES R CHINA, MAY 20-22, 2017
Authors:  Lin, Xuelei;  Ng, Michael K.;  Sun, Haiwei
Favorite |  | TC[WOS]:10 TC[Scopus]:9 | Submit date:2018/10/30
Block Lower Triangular  Toeplitz-like Matrix  Diagonalization  Separable  Block Is An Element of-circulAnt Preconditioner  Time-space Fractional Diffusion Equations  
Approximate inversion method for time-fractional subdiffusion equations Journal article
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018,Volume: 25,Issue: 2
Authors:  Lu, Xin;  Pang, Hong-Kui;  Sun, Hai-Wei;  Vong, Seak-Weng
Favorite |  | TC[WOS]:11 TC[Scopus]:12 | Submit date:2018/10/30
Approximate Inversion Method  Block Lower Triangular Toeplitz Matrix  Fast Fourier Transforms  Matrix Polynomial  Time-fractional Subdiffusion Equations  
A separable preconditioner for time-space fractional Caputo-Riesz diffusion equations Journal article
Numerical Mathematics, 2018,Volume: 11,Issue: 4,Page: 827-853
Authors:  Lin,Xuelei;  Ng,Michael K.;  Sun,Haiwei
Favorite |  | TC[WOS]:10 TC[Scopus]:9 | Submit date:2021/03/09
Block lower triangular  Block ε-circulant preconditioner  Diagonalization  Separable  Time-space fractional diffusion equations  Toeplitz-like matrix  
A fast numerical method for block lower triangular Toeplitz with dense Toeplitz blocks system with applications to time-space fractional diffusion equations Journal article
NUMERICAL ALGORITHMS, 2017,Volume: 76,Issue: 3,Page: 605-616
Authors:  Huang, Yun-Chi;  Lei, Siu-Long
Favorite |  | TC[WOS]:10 TC[Scopus]:11 | Submit date:2018/10/30
Block Lower Triangular Toeplitz Matrix With Dense Toeplitz Blocks  Circulant-and-skew-circulant Representation Of Toeplitz Matrix Inversion  Divide-and-conquer Strategy  Fast Fourier Transform  Time-space Fractional Partial Differential Equations  
A fast accurate approximation method with multigrid solver for two-dimensional fractional sub-diffusion equation Journal article
Journal of Computational Physics, 2016,Volume: 323,Page: 204-218
Authors:  Lin,Xue lei;  Lu,Xin;  Ng,Micheal K.;  Sun,Hai Wei
Favorite |  | TC[WOS]:8 TC[Scopus]:8 | Submit date:2019/05/27
Block Lower Triangular Toeplitz Matrix  Block Ε-circulant Approximation  Fractional Sub-diffusion Equations  Multigrid Method  
Fast approximate inversion of a block triangular Toeplitz matrix with applications to fractional sub-diffusion equations Journal article
Numerical Linear Algebra with Applications, 2015,Volume: 22,Issue: 5,Page: 866-882
Authors:  Lu X.;  Pang H.-K.;  Sun H.-W.
Favorite |  | TC[WOS]:34 TC[Scopus]:37 | Submit date:2019/02/13
Block Triangular Toeplitz Matrix  Block ε{Lunate}-circulant Matrix  Fourier Transform  Fractional Sub-diffusion Equations