Diagonal and circulant or skew-circulant splitting preconditioners for spatial fractional diffusion equations

DOI10.1007/s40314-017-0570-6zbMath1402.65018OpenAlexW2782013335MaRDI QIDQ1993412

Kang-Ya Lu

Publication date: 5 November 2018

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-017-0570-6

zbMATH Keywords

preconditioningcirculant matrixskew-circulant matrixspatial fractional diffusion equations

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06) Applications to the sciences (65Z05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (4)

Block splitting preconditioner for time-space fractional diffusion equations ⋮ A matrix splitting preconditioning method for solving the discretized tempered fractional diffusion equations ⋮ Quasi-Toeplitz trigonometric transform splitting methods for spatial fractional diffusion equations ⋮ An unconditionally convergent RSCSCS iteration method for Riesz space fractional diffusion equations with variable coefficients

Cites Work

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• Alternating direction methods for three space variables
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Sharp error bounds of some Krylov subspace methods for non-Hermitian linear systems
• Finite difference approximations for fractional advection-dispersion flow equations
• Motivations and realizations of Krylov subspace methods for large sparse linear systems
• On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems
• Finite difference approximations for two-sided space-fractional partial differential equations
• Approximate Inverse Circulant-plus-Diagonal Preconditioners for Toeplitz-plus-Diagonal Matrices
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• An Optimal Circulant Preconditioner for Toeplitz Systems
• Toeplitz Equations by Conjugate Gradients with Circulant Preconditioner
• Optimal and Superoptimal Circulant Preconditioners
• Circulant and Skewcirculant Matrices for Solving Toeplitz Matrix Problems
• Iterative Solution Methods
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations
• An Introduction to Iterative Toeplitz Solvers

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