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A fast numerical method for block lower triangular Toeplitz with dense Toeplitz blocks system with applications to time-space fractional diffusion equations Journal article
NUMERICAL ALGORITHMS, 2017,Volume: 76,Issue: 3,Page: 605-616
Authors:  Huang, Yun-Chi;  Lei, Siu-Long
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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 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
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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:6/0  |  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 and skew-circulant splitting iteration for fractional advection–diffusion equations Journal article
International Journal of Computer Mathematics, 2014,Volume: 91,Issue: 10,Page: 2232
Authors:  Qu W.;  Lei S.-L.;  Vong S.-W.
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Circulant And skew-Circulant Splitting Iteration  Fast Fourier Transform  Fractional Advection–diffusion Equation  Toeplitz Matrix  
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.
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Block-circulant Preconditioner  Bvm  Gmres Method  Spddes  
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  
Strang-type preconditioners for solving linear systems from delay differential equations Journal article
BIT Numerical Mathematics, 2003,Volume: 43,Issue: 1,Page: 139-152
Authors:  Lin F.R.;  Jin X.Q.;  Lei S.L.
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Block-circulant Pre-conditioner  Boundary Value Method  Delay Differential Equation  Gmres Method