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A Robust Preconditioner for Two-dimensional Conservative Space-Fractional Diffusion Equations on Convex Domains Journal article
Chen,Xu, Deng,Si Wen, Lei,Siu Long. A Robust Preconditioner for Two-dimensional Conservative Space-Fractional Diffusion Equations on Convex Domains[J]. Journal of Scientific Computing, 2019, 80(2), 1033-1057.
Authors:  Chen,Xu;  Deng,Si Wen;  Lei,Siu Long
Favorite | TC[WOS]:3 TC[Scopus]:3  IF:2.8/2.7 | Submit date：2021/03/11
Block-circulant-circulant-block Matrix  Convex Domain  Finite Volume Method  Preconditioner  Space-fractional Diffusion Equation  
A separable preconditioner for time-space fractional Caputo-Riesz di usion equations Journal article
Lin, X.L., Ng, M.K., Sun, H. W.. A separable preconditioner for time-space fractional Caputo-Riesz di usion equations[J]. Numerical Mathematics: Theory, Methods and Applications, 2018, 827-853.
Authors:  Lin, X.L.;  Ng, M.K.;  Sun, H. W.
Favorite |   IF:1.9/1.3 | Submit date：2022/07/25
Block lower triangular  Toeplitz-like matrix  Diagonalization  Separable  Block \epsilon-circulant preconditioner  Time-space fractional diffusion equations  
A Separable Preconditioner for Time-Space Fractional Caputo-Riesz Diffusion Equations Journal article
Lin, Xuelei, Ng, Michael K., Sun, Haiwei. A Separable Preconditioner for Time-Space Fractional Caputo-Riesz Diffusion Equations[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2018, 11(4), 827-853.
Authors:  Lin, Xuelei;  Ng, Michael K.;  Sun, Haiwei
Favorite | TC[WOS]:17 TC[Scopus]:17  IF:1.9/1.3 | 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  
A fast numerical method for block lower triangular Toeplitz with dense Toeplitz blocks system with applications to time-space fractional diffusion equations Journal article
Huang, Yun-Chi, Lei, Siu-Long. A fast numerical method for block lower triangular Toeplitz with dense Toeplitz blocks system with applications to time-space fractional diffusion equations[J]. NUMERICAL ALGORITHMS, 2017, 76(3), 605-616.
Authors:  Huang, Yun-Chi;  Lei, Siu-Long
Favorite | TC[WOS]:24 TC[Scopus]:25  IF:1.7/1.9 | 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  
Fast algorithms for high-order numerical methods for space-fractional diffusion equations Journal article
Lei, Siu-Long, Huang, Yun-Chi. Fast algorithms for high-order numerical methods for space-fractional diffusion equations[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2017, 94(5), 1062-1078.
Authors:  Lei, Siu-Long;  Huang, Yun-Chi
Favorite | TC[WOS]:34 TC[Scopus]:36  IF:1.7/1.5 | Submit date：2018/10/30
Fractional Diffusion Equation  Fourth-order Discretization  Boundary Value Method  Crank-nicolson Preconditioner  Block-circulant Preconditioner  Gmres Method  Circulant- And Skew-circulant Representation Of Toeplitz Matrix Inversion  
A fast accurate approximation method with multigrid solver for two-dimensional fractional sub-diffusion equation Journal article
Lin,Xue lei, Lu,Xin, Ng,Micheal K., Sun,Hai Wei. A fast accurate approximation method with multigrid solver for two-dimensional fractional sub-diffusion equation[J]. Journal of Computational Physics, 2016, 323, 204-218.
Authors:  Lin,Xue lei;  Lu,Xin;  Ng,Micheal K.;  Sun,Hai Wei
Favorite | TC[WOS]:10 TC[Scopus]:10 | Submit date：2019/05/27
Block Lower Triangular Toeplitz Matrix  Block Ε-circulant Approximation  Fractional Sub-diffusion Equations  Multigrid Method  
Fast numerical solution for fractional diffusion equations by exponential quadrature rule Journal article
Lu,Xin, Pang,Hong Kui, Sun,Hai Wei. Fast numerical solution for fractional diffusion equations by exponential quadrature rule[J]. Numerical Linear Algebra with Applications, 2015, 22(5), 866-882.
Authors:  Lu,Xin;  Pang,Hong Kui;  Sun,Hai Wei
Favorite | TC[WOS]:51 TC[Scopus]:26 | Submit date：2019/05/27
Block Triangular Toeplitz Matrix  Block ε{Lunate}-circulant Matrix  Fourier Transform  Fractional Sub-diffusion Equations  
Fast approximate inversion of a block triangular Toeplitz matrix with applications to fractional sub-diffusion equations Journal article
Lu X., Pang H.-K., Sun H.-W.. Fast approximate inversion of a block triangular Toeplitz matrix with applications to fractional sub-diffusion equations[J]. Numerical Linear Algebra with Applications, 2015, 22(5), 866-882.
Authors:  Lu X.;  Pang H.-K.;  Sun H.-W.
Favorite | TC[WOS]:51 TC[Scopus]:55 | Submit date：2019/02/13
Block Triangular Toeplitz Matrix  Block ε{Lunate}-circulant Matrix  Fourier Transform  Fractional Sub-diffusion Equations  
A survey and some extensions of T. Chan's preconditioner Journal article
Jin X.-Q., Wei Y.-M.. A survey and some extensions of T. Chan's preconditioner[J]. Linear Algebra and Its Applications, 2008, 428(2-3), 403-412.
Authors:  Jin X.-Q.;  Wei Y.-M.
Favorite | TC[WOS]:11 TC[Scopus]:11 | Submit date：2019/02/11
Block Operator  Circulant Matrix  Point Operator  T. Chan's circulanT.precondiT.oner  T. Chan's precondiT.oner  Toeplitz Matrix  
BCCB preconditioners for solving linear systems from delay differential equations Journal article
Cai M.-C., Jin X.-Q.. BCCB preconditioners for solving linear systems from delay differential equations[J]. Computers and Mathematics with Applications, 2005, 50(1-2), 281-288.
Authors:  Cai M.-C.;  Jin X.-Q.
Favorite | TC[WOS]:4 TC[Scopus]:3 | Submit date：2019/02/11
Bccb Preconditioner  Block-circulant Preconditioner  Bvm  Delay Differential Equations  Gmres Method  Toeplitz Matrix