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Circulant-based approximate inverse preconditioners for a class of fractional diffusion equations Journal article
Computers and Mathematics with Applications, 2021,Volume: 85,Page: 18-29
Authors:  Pang,Hong Kui;  Qin,Hai Hua;  Sun,Hai Wei;  Ma,Ting Ting
Favorite |  | TC[WOS]:1 TC[Scopus]:0 | Submit date:2021/03/09
Circulant-based Preconditioner  Decay Property  Finite Difference Method  Fractional Diffusion Equation  Toeplitz-like  
An Efficient Second‑Order Convergent Scheme for One‑Side Space Fractional Diffusion Equations with Variable Coefficients Journal article
Communications on Applied Mathematics and Computation, 2020,Volume: 2,Issue: 2,Page: 215--239
Authors:  Lin Xuelei;  Lyu Pin;  Michael K. Ng;  Sun HW(孫海衛);  Seak Weng Vong
Adobe PDF | Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2022/07/28
One-side Space Fractional Diffusion Equation  Variable Diffusion Coefficients  Stability And Convergence  High-order Finite-difference Scheme  Preconditioner  
A preconditioned fast finite difference scheme for space-fractional diffusion equations in convex domains Journal article
Computational and Applied Mathematics, 2019,Volume: 38,Issue: 1,Page: UNSP 14
Authors:  Du,Ning;  Sun,Hai Wei;  Wang,Hong
Favorite |  | TC[WOS]:6 TC[Scopus]:6 | Submit date:2019/05/27
Anomalous Diffusion  Circulant Preconditioner  Finite Difference Method  Penalization  Space-fractional Diffusion Equation  
Fast solution algorithms for exponentially tempered fractional diffusion equations Journal article
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2018,Volume: 34,Issue: 4,Page: 1301-1323
Authors:  Lei, Siu-Long;  Fan, Daoying;  Chen, Xu
Favorite |  | TC[WOS]:2 TC[Scopus]:2 | Submit date:2018/10/30
Circulant And skew-Circulant Representation Of Toeplitz Inversion  Circulant Preconditioner  Fast Fourier Transform  Tempered Fractional Diffusion Equations  Toeplitz Matrix  
Fast solution algorithms for exponentially tempered fractional diffusion equations Journal article
Numerical Methods for Partial Differential Equations, 2018,Volume: 34,Issue: 4,Page: 1301-1323
Authors:  Lei,Siu Long;  Fan,Daoying;  Chen,Xu
Favorite |  | TC[WOS]:2 TC[Scopus]:2 | Submit date:2021/03/11
Circulant And skew-Circulant Representation Of Toeplitz Inversion  Circulant Preconditioner  Fast Fourier Transform  Tempered Fractional Diffusion Equations  Toeplitz Matrix  
A splitting preconditioner for Toeplitz-like linear systems arising from fractional diffusion equations Journal article
SIAM Journal on Matrix Analysis and Applications, 2017,Volume: 38,Issue: 4,Page: 1580-1614
Authors:  Lin,Xue Lei;  Ng,Michael K.;  Sun,Hai Wei
Adobe PDF | Favorite |  | TC[WOS]:38 TC[Scopus]:40 | Submit date:2019/05/27
Diagonal-times-toeplitz Matrices  Preconditioners  Space-fractional Diffusion Equations Krylov Subspace Methods  Variable Coecients  
Fast algorithms for high-order numerical methods for space-fractional diffusion equations Journal article
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2017,Volume: 94,Issue: 5,Page: 1062-1078
Authors:  Lei, Siu-Long;  Huang, Yun-Chi
Favorite |  | TC[WOS]:25 TC[Scopus]:27 | 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  
On CSCS-based iteration method for tempered fractional diffusion equations Journal article
Japan Journal of Industrial and Applied Mathematics, 2016,Volume: 33,Issue: 3,Page: 583-597
Authors:  Qu W.;  Lei S.-L.
Favorite |  | TC[WOS]:2 TC[Scopus]:3 | Submit date:2019/02/14
Circulant And skew-Circulant Splitting Iteration  Fast Fourier Transform  Preconditioner  Tempered Fractional Diffusion Equation  Toeplitz Matrix  
On CSCS-based iteration method for tempered fractional diffusion equations Journal article
Japan Journal of Industrial and Applied Mathematics, 2016,Volume: 33,Issue: 3,Page: 583-597
Authors:  Qu,Wei;  Lei,Siu Long
Favorite |  | TC[WOS]:2 TC[Scopus]:3 | Submit date:2021/03/11
Circulant and skew-circulant splitting iteration  Fast Fourier transform  Preconditioner  Tempered fractional diffusion equation  Toeplitz matrix  
BCCB preconditioners for systems of BVM-based numerical integrators Journal article
Numerical Linear Algebra with Applications, 2004,Volume: 11,Issue: 1,Page: 25-40
Authors:  Lei S.-L.;  Jin X.-Q.
Favorite |  | TC[WOS]:3 TC[Scopus]:3 | Submit date:2019/02/11
Bccb Preconditioner  Block-circulant Preconditioner  Bvm  Gmres Method  Ode  Toeplitz Matrix