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A fast Strang splitting method with mass conservation for the space-fractional Gross-Pitaevskii equation Journal article
Cai, Yao Yuan, Sun, Hai Wei. A fast Strang splitting method with mass conservation for the space-fractional Gross-Pitaevskii equation[J]. Applied Mathematics and Computation, 2024, 470, 128575.
Authors:  Cai, Yao Yuan;  Sun, Hai Wei
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:3.5/3.1 | Submit date：2024/05/16
Circulant And skew-Circulant Matrix Exponential  Fast Fourier Transform  Fractional Gross–pitaevskii Equation  Mass Conservation  Two-level Strang Splitting Method  
Numerical Study of a Fast Two-Level Strang Splitting Method for Spatial Fractional Allen–Cahn Equations Journal article
Cai, Yao Yuan, Sun, Hai Wei, Tam, Sik Chung. Numerical Study of a Fast Two-Level Strang Splitting Method for Spatial Fractional Allen–Cahn Equations[J]. Journal of Scientific Computing, 2023, 95(3).
Authors:  Cai, Yao Yuan;  Sun, Hai Wei;  Tam, Sik Chung
Favorite | TC[WOS]:1 TC[Scopus]:1  IF:2.8/2.7 | Submit date：2024/01/02
Altered two-level Strang splitting method  Circulant and skew-circulant matrix  Discrete maximum principle  Fast Fourier transform  Modified energy decay  
Numerical Study of a Fast Two-Level Strang Splitting Method for Spatial Fractional Allen–Cahn Equations Review article
2023
Authors:  Cai, Yao Yuan;  Sun, Hai Wei;  Tam, Sik Chung
Favorite | TC[WOS]:1 TC[Scopus]:1  IF:2.8/2.7 | Submit date：2023/07/20
Altered Two-level Strang Splitting Method  Circulant And skew-Circulant Matrix  Discrete Maximum Principle  Fast Fourier Transform  Modified Energy Decay  
A Fast Two-Level Strang Splitting Method for Multi-Dimensional Spatial Fractional Allen-Cahn Equations with Discrete Maximum Principle Journal article
Cai, Yao Yuan, Fang, Zhi Wei, Chen, Hao, Sun, Hai Wei. A Fast Two-Level Strang Splitting Method for Multi-Dimensional Spatial Fractional Allen-Cahn Equations with Discrete Maximum Principle[J]. East Asian Journal on Applied Mathematics, 2023, 13(2), 340-360.
Authors:  Cai, Yao Yuan;  Fang, Zhi Wei;  Chen, Hao;  Sun, Hai Wei
Favorite | TC[WOS]:3 TC[Scopus]:4  IF:1.2/1.0 | Submit date：2023/10/30
Circulant And skew-Circulant Matrix Splitting  Discrete Maximum Principle  Fast Fourier Transform  Two-level Strang Splitting Method  
Fast solution algorithms for exponentially tempered fractional diffusion equations Journal article
Lei, Siu-Long, Fan, Daoying, Chen, Xu. Fast solution algorithms for exponentially tempered fractional diffusion equations[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2018, 34(4), 1301-1323.
Authors:  Lei, Siu-Long;  Fan, Daoying;  Chen, Xu
Favorite | TC[WOS]:4 TC[Scopus]:4  IF:2.1/2.8 | 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
Lei,Siu Long, Fan,Daoying, Chen,Xu. Fast solution algorithms for exponentially tempered fractional diffusion equations[J]. Numerical Methods for Partial Differential Equations, 2018, 34(4), 1301-1323.
Authors:  Lei,Siu Long;  Fan,Daoying;  Chen,Xu
Favorite | TC[WOS]:4 TC[Scopus]:4  IF:2.1/2.8 | 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 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]:24  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  
On CSCS-based iteration method for tempered fractional diffusion equations Journal article
Qu,Wei, Lei,Siu Long. On CSCS-based iteration method for tempered fractional diffusion equations[J]. Japan Journal of Industrial and Applied Mathematics, 2016, 33(3), 583-597.
Authors:  Qu,Wei;  Lei,Siu Long
Favorite | TC[WOS]:3 TC[Scopus]:4  IF:0.7/0.7 | Submit date：2021/03/11
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
Qu W., Lei S.-L.. On CSCS-based iteration method for tempered fractional diffusion equations[J]. Japan Journal of Industrial and Applied Mathematics, 2016, 33(3), 583-597.
Authors:  Qu W.;  Lei S.-L.
Favorite | TC[WOS]:3 TC[Scopus]:4 | Submit date：2019/02/14
Circulant And skew-Circulant Splitting Iteration  Fast Fourier Transform  Preconditioner  Tempered Fractional Diffusion Equation  Toeplitz Matrix