Circulant-based approximate inverse preconditioners for a class of fractional diffusion equations
DOI10.1016/j.camwa.2021.01.007OpenAlexW3122118900MaRDI QIDQ2658820
Tingting Ma, Hai-Hua Qin, Hong-Kui Pang, Hai-Wei Sun
Publication date: 24 March 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2021.01.007
finite difference methoddecay propertyfractional diffusion equationToeplitz-likecirculant-based preconditioner
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08) Fractional partial differential equations (35R11) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
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- Low-rank solvers for fractional differential equations
- Preconditioned iterative methods for fractional diffusion equation
- A circulant preconditioner for fractional diffusion equations
- Multigrid method for fractional diffusion equations
- Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation
- Fast preconditioned iterative methods for finite volume discretization of steady-state space-fractional diffusion equations
- The fractional Sturm-Liouville problem -- numerical approximation and application in fractional diffusion
- A compact finite difference scheme for the fractional sub-diffusion equations
- Efficient spectral-Galerkin methods for fractional partial differential equations with variable coefficients
- Spectral analysis and structure preserving preconditioners for fractional diffusion equations
- Propriétés des matrices ``bien localisées près de leur diagonale et quelques applications. (Properties of matrices ``well localized near the diagonal and some applications)
- A lower bound for the smallest singular value of a matrix
- Four short stories about Toeplitz matrix calculations
- A multigrid method for linear systems arising from time-dependent two-dimensional space-fractional diffusion equations
- On banded \(M\)-splitting iteration methods for solving discretized spatial fractional diffusion equations
- Waiting-times and returns in high-frequency financial data: An empirical study
- A direct \(O(N \log ^{2} N)\) finite difference method for fractional diffusion equations
- Circulant preconditioners for a kind of spatial fractional diffusion equations
- A superfast-preconditioned iterative method for steady-state space-fractional diffusion equations
- Finite difference approximations for two-sided space-fractional partial differential equations
- Fast Iterative Solvers for Linear Systems Arising from Time-Dependent Space-Fractional Diffusion Equations
- A Splitting Preconditioner for Toeplitz-Like Linear Systems Arising from Fractional Diffusion Equations
- A Total Fractional-Order Variation Model for Image Restoration with Nonhomogeneous Boundary Conditions and Its Numerical Solution
- Numerical Methods in Scientific Computing, Volume I
- A hyperbolic model for convection-diffusion transport problems in CFD: Numerical analysis and applications
- Toeplitz Equations by Conjugate Gradients with Circulant Preconditioner
- Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations
- Spectral Analysis and Multigrid Methods for Finite Volume Approximations of Space-Fractional Diffusion Equations
- On variational properties of balanced central fractional derivatives
- Preconditioning Techniques for Diagonal-times-Toeplitz Matrices in Fractional Diffusion Equations
- Fast Solvers for Two-Dimensional Fractional Diffusion Equations Using Rank Structured Matrices
- Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations
- An Introduction to Iterative Toeplitz Solvers
