Dominant Hermitian splitting iteration method for discrete space-fractional diffusion equations
DOI10.1016/j.apnum.2020.03.005zbMath1460.65035OpenAlexW3010524498WikidataQ112880237 ScholiaQ112880237MaRDI QIDQ1995933
Dong-Xiu Xie, Galina V. Muratova, Fang Chen, Kang-Ya Lu
Publication date: 2 March 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2020.03.005
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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Cites Work
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- Multigrid method for fractional diffusion equations
- A class of nested iteration schemes for linear systems with a coefficient matrix with a dominant positive definite symmetric part
- An \(O(N \log ^{2}N)\) alternating-direction finite difference method for two-dimensional fractional diffusion equations
- Spectral analysis and structure preserving preconditioners for fractional diffusion equations
- Fractional differentiation for edge detection
- Sharp error bounds of some Krylov subspace methods for non-Hermitian linear systems
- A multigrid method for linear systems arising from time-dependent two-dimensional space-fractional diffusion equations
- Spectral analysis and multigrid preconditioners for two-dimensional space-fractional diffusion equations
- On banded \(M\)-splitting iteration methods for solving discretized spatial fractional diffusion equations
- Finite difference approximations for fractional advection-dispersion flow equations
- A direct \(O(N \log ^{2} N)\) finite difference method for fractional diffusion equations
- Motivations and realizations of Krylov subspace methods for large sparse 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
- A Proposal for Toeplitz Matrix Calculations
- UTILIZATION OF FRACTAL IMAGE MODELS IN MEDICAL IMAGE PROCESSING
- Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
- Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations
- Preconditioning Techniques for Diagonal-times-Toeplitz Matrices in Fractional Diffusion Equations
- Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations
- An Introduction to Iterative Toeplitz Solvers
