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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  |  View/Download:23/0  |  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 ADI method for high dimensional fractional diffusion equations in conservative form with preconditioned strategy Journal article
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017,Volume: 73,Issue: 3,Page: 385-403
Authors:  Chou, Lot-Kei;  Lei, Siu-Long
Favorite  |  View/Download:17/0  |  Submit date:2018/10/30
High Dimensional Two-sided Fractional Diffusion Equation  Alternating Direction Implicit Method  Approximate Inverse Preconditioner  Krylov Subspace Method  Superlinear Convergence  Fast Fourier Transform  
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  |  View/Download:38/0  |  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  |  View/Download:5/0  |  Submit date:2019/02/14
Circulant And skew-Circulant Splitting Iteration  Fast Fourier Transform  Preconditioner  Tempered Fractional Diffusion Equation  Toeplitz Matrix  
Multilevel circulant preconditioner for high-dimensional fractional diffusion equations Journal article
East Asian Journal on Applied Mathematics, 2016,Volume: 6,Issue: 2,Page: 109-130
Authors:  Lei S.-L.;  Chen X.;  Zhang X.
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Gmres Method  High-dimensional Two-sided Fractional Diffusion Equation  Implicit Finite Difference Method  Multilevel Circulant Preconditioner  Unconditionally Stable  
Circulant preconditioners for solving singular perturbation delay differential equations Journal article
Numerical Linear Algebra with Applications, 2005,Volume: 12,Issue: 2-3,Page: 327-336
Authors:  Jin X.-Q.;  Lei S.-L.;  Wei Y.-M.
Favorite  |  View/Download:4/0  |  Submit date:2019/02/11
Block-circulant Preconditioner  Bvm  Gmres Method  Spddes  
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.
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Bccb Preconditioner  Block-circulant Preconditioner  Bvm  Gmres Method  Ode  Toeplitz Matrix  
Circulant preconditioners for solving differential equations with multidelays Journal article
Computers and Mathematics with Applications, 2004,Volume: 47,Issue: 8-9,Page: 1429-1436
Authors:  Jin X.-Q.;  Lei S.-L.;  Wei Y.-M.
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Block-circulant Preconditioner  Bvm  Differential Equation With Multidelays  Gm-res Method  
Sine transform based preconditioners for solving constant-coefficient first-order PDEs Journal article
Linear Algebra and Its Applications, 2003,Volume: 366,Issue: SPEC. ISS.,Page: 283-294
Authors:  Jin X.-Q.;  Lei S.-L.
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Clustered Spectrum  Constant-coefficient First-order Pdes  Gmres Method  Preconditioner  Sine Transform