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Preconditioned fourth-order exponential integrator for two-dimensional nonlinear fractional Ginzburg-Landau equation Journal article
Zhang, Lu, Zhang, Qifeng, Sun, Hai Wei. Preconditioned fourth-order exponential integrator for two-dimensional nonlinear fractional Ginzburg-Landau equation[J]. Computers and Mathematics with Applications, 2023, 150, 211-228.
Authors:  Zhang, Lu;  Zhang, Qifeng;  Sun, Hai Wei
Favorite | TC[WOS]:2 TC[Scopus]:2  IF:2.9/2.6 | Submit date：2023/12/04
Exponential Integrator  Fractional Complex Ginzburg-landau Equation  Toeplitz Matrix  τ Matrix Preconditioner  Φ-function  
Preconditioning Technique Based on Sine Transformation for Nonlocal Helmholtz Equations with Fractional Laplacian Journal article
Li, Tian Yi, Chen, Fang, Sun, Hai Wei, Sun, Tao. Preconditioning Technique Based on Sine Transformation for Nonlocal Helmholtz Equations with Fractional Laplacian[J]. Journal of Scientific Computing, 2023, 97, 17.
Authors:  Li, Tian Yi;  Chen, Fang;  Sun, Hai Wei;  Sun, Tao
Favorite | TC[WOS]:4 TC[Scopus]:4  IF:2.8/2.7 | Submit date：2023/11/01
Fractional Helmholtz Equation  Fractional Laplacian Operator  Multilevel Toeplitz Matrix  Preconditioning  
Sine transform based preconditioning techniques for space fractional diffusion equations Journal article
Qin, Hai Hua, Pang, Hong Kui, Sun, Hai Wei. Sine transform based preconditioning techniques for space fractional diffusion equations[J]. Numerical Linear Algebra with Applications, 2022, 30(4), e2474.
Authors:  Qin, Hai Hua;  Pang, Hong Kui;  Sun, Hai Wei
Favorite | TC[WOS]:3 TC[Scopus]:3  IF:1.8/1.8 | Submit date：2023/01/30
Finite Difference Method  Gmres Method  Numerical Range  Space Fractional Derivative  Toeplitz Matrix  τ Preconditioner  
Spectral Analysis for Preconditioning of MultiDimensional Riesz Fractional Diffusion Equations Journal article
Huang, Xin, Lin, Xue Lei, Ng, Michael K., Sun, Hai Wei. Spectral Analysis for Preconditioning of MultiDimensional Riesz Fractional Diffusion Equations[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2022, 15(3), 565-591.
Authors:  Huang, Xin;  Lin, Xue Lei;  Ng, Michael K.;  Sun, Hai Wei
Favorite | TC[WOS]:25 TC[Scopus]:26  IF:1.9/1.3 | Submit date：2023/01/30
Multi-dimensional Riesz Fractional Derivative  Multi-level Toeplitz Matrix  Preconditioned Conjugate Gradient Method  Sine Transform Based Preconditioner  
Second-order maximum principle preserving Strang's splitting schemes for anisotropic fractional Allen-Cahn equations Journal article
Chen, H., Sun, H. W.. Second-order maximum principle preserving Strang's splitting schemes for anisotropic fractional Allen-Cahn equations[J]. Numerical Algorithms, 2022.
Authors:  Chen, H.;  Sun, H. W.
Favorite | TC[WOS]:10 TC[Scopus]:7 | Submit date：2022/07/25
Fractional Allen-cahn Equation  Discrete Maximum Principle  Operator Splitting Method  Matrix Exponential  Toeplitz Matrix  
Second-order maximum principle preserving Strang’s splitting schemes for anisotropic fractional Allen-Cahn equations Journal article
Chen, Hao, Sun, Hai Wei. Second-order maximum principle preserving Strang’s splitting schemes for anisotropic fractional Allen-Cahn equations[J]. Numerical Algorithms, 2021, 90(2), 749-771.
Authors:  Chen, Hao;  Sun, Hai Wei
Favorite | TC[WOS]:10 TC[Scopus]:7  IF:1.7/1.9 | Submit date：2022/05/13
Discrete Maximum Principle  Fractional Allen-cahn Equation  Matrix Exponential  Operator Splitting Method  Toeplitz Matrix  
A preconditioner based on sine transform for two-dimensional semi-linear Riesz space fractional diffusion equations in convex domains Journal article
Huang, Xin, Sun, Hai Wei. A preconditioner based on sine transform for two-dimensional semi-linear Riesz space fractional diffusion equations in convex domains[J]. Applied Numerical Mathematics, 2021, 169, 289-302.
Authors:  Huang, Xin;  Sun, Hai Wei
Favorite | TC[WOS]:13 TC[Scopus]:13  IF:2.2/2.3 | Submit date：2021/12/08
Gmres Method  Penalization  Riesz Fractional Derivative  Sine Transform Based Preconditioner  Toeplitz Matrix  
A Dimensional Splitting Exponential Time Differencing Scheme for Multidimensional Fractional Allen-Cahn Equations Journal article
Chen, Hao, Sun, Hai Wei. A Dimensional Splitting Exponential Time Differencing Scheme for Multidimensional Fractional Allen-Cahn Equations[J]. Journal of Scientific Computing, 2021, 87(1), 30.
Authors:  Chen, Hao;  Sun, Hai Wei
Favorite | TC[WOS]:14 TC[Scopus]:13  IF:2.8/2.7 | Submit date：2021/12/07
Dimensional Splitting  Discrete Maximum Principle  Exponential Time Differencing  Fractional Allen-cahn Equation  Matrix Exponential  Toeplitz Matrix  65f10  65l05  65n22  65f15  
Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations Journal article
Lu,Xin, Fang,Zhi Wei, Sun,Hai Wei. Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations[J]. Journal of Applied Mathematics and Computing, 2020, 66(1-2), 673–700.
Authors:  Lu,Xin;  Fang,Zhi Wei;  Sun,Hai Wei
Favorite | TC[WOS]:20 TC[Scopus]:21  IF:2.4/2.3 | Submit date：2021/03/09
Gmres Method  Riesz Space Fractional Diffusion Equations  Shifted Grünwald Discretization  Sine-transform-based Splitting Preconditioner  Symmetric Positive Definite Toeplitz Matrix  
Exponential Runge–Kutta Methodfor Two-Dimensional Nonlinear Fractional Complex Ginzburg–Landau Equations Journal article
Zhang, L., Zhang, Q.F., Sun, H. W.. Exponential Runge–Kutta Methodfor Two-Dimensional Nonlinear Fractional Complex Ginzburg–Landau Equations[J]. JournalofScientificComputing, 2020, UNSP59-UNSP59.
Authors:  Zhang, L.;  Zhang, Q.F.;  Sun, H. W.
Favorite |   IF:2.8/2.7 | Submit date：2022/07/25
Space fractional Ginzburg–Landau equation  Toeplitz structure  Exponential Runge–Kutta method  Matrix exponential  Shift-invert Lanczos method