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A Fast Preconditioning Strategy for QSC-CN Scheme of Space Fractional Diffusion Equations and Its Spectral Analysis Journal article
Qu, Wei, Huang, Yuanyuan, Lei, Siu Long. A Fast Preconditioning Strategy for QSC-CN Scheme of Space Fractional Diffusion Equations and Its Spectral Analysis[J]. Advances in Applied Mathematics and Mechanics, 2024, 16(6), 1474-1501.
Authors:  Qu, Wei;  Huang, Yuanyuan;  Lei, Siu Long
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:1.5/1.1 | Submit date：2024/12/05
Circulant Preconditioning  Toeplitz-like Matrix  Matrix Splitting  Spectral Analysis  Krylov Subspace Iterative Method  
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]:2 TC[Scopus]:2  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]:2 TC[Scopus]:2  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  
An approximate inverse preconditioner for spatial fractional diffusion equations with piecewise continuous coefficients Journal article
Fang,Zhi Wei, Sun,Hai Wei, Wei,Hui Qin. An approximate inverse preconditioner for spatial fractional diffusion equations with piecewise continuous coefficients[J]. International Journal of Computer Mathematics, 2020, 97(3), 523-545.
Authors:  Fang,Zhi Wei;  Sun,Hai Wei;  Wei,Hui Qin
Favorite | TC[WOS]:5 TC[Scopus]:5  IF:1.7/1.5 | Submit date：2019/05/27
Approximate Inverse  Circulant Matrix  Fast Fourier Transform  Fractional Diffusion Equation  Krylov Subspace Methods  Piecewise Continuous Coefficients  Toeplitz Matrix  
Circulant preconditioners for a kind of spatial fractional diffusion equations Journal article
Fang, Z.W., Ng, M.K., Sun, H. W.. Circulant preconditioners for a kind of spatial fractional diffusion equations[J]. Numerical Algorithm, 2019, 729-747.
Authors:  Fang, Z.W.;  Ng, M.K.;  Sun, H. W.
Favorite | TC[WOS]:13 TC[Scopus]:16  IF:1.7/1.9 | Submit date：2022/07/25
Fractional Diffusion Equation  Toeplitz Matrix  Circulant Preconditioner  Fast Fourier Transform  Krylov Subspace Methods  
Circulant preconditioners for a kind of spatial fractional diffusion equations Journal article
Zhi-Wei Fang, Michael K. Ng, Hai-Wei Sun. Circulant preconditioners for a kind of spatial fractional diffusion equations[J]. Numerical Algorithms, 2019, 82(2), 729-747.
Authors:  Zhi-Wei Fang;  Michael K. Ng;  Hai-Wei Sun
Favorite | TC[WOS]:13 TC[Scopus]:16  IF:1.7/1.9 | Submit date：2019/08/09
Fractional Diffusion Equation  Fast Fourier Transform  Krylov Subspace Methods  Toeplitz Matrix  Circulant Preconditioner  
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