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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：2021/03/11
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：2018/10/30
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]: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  
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