Spectral Analysis for Preconditioning of Multi-Dimensional Riesz Fractional Diffusion Equations
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Publication:5094715
DOI10.4208/nmtma.OA-2022-0032MaRDI QIDQ5094715
Xue-Lei Lin, Xin Huang, Hai-Wei Sun, Michael Kwok-Po Ng
Publication date: 4 August 2022
Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.01371
preconditioned conjugate gradient methodsine transform based preconditionermulti-dimensional Riesz fractional derivativemulti-level Toeplitz matrix
Numerical methods for partial differential equations, boundary value problems (65N99) Preconditioners for iterative methods (65F08)
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Cites Work
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- Fast numerical contour integral method for fractional diffusion equations
- Preconditioned iterative methods for fractional diffusion equation
- A circulant preconditioner for fractional diffusion equations
- Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
- New numerical methods for the Riesz space fractional partial differential equations
- A fourth-order approximation of fractional derivatives with its applications
- Spectral analysis and structure preserving preconditioners for fractional diffusion equations
- Spectral and computational properties of band symmetric Toeplitz matrices
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
- Multigrid methods for Toeplitz matrices
- Preconditioners for ill-conditioned Toeplitz matrices
- On the condition numbers of large semi-definite Toeplitz matrices
- On the extreme eigenvalues of Hermitian (block) Toeplitz matrices
- A direct \(O(N \log ^{2} N)\) finite difference method for fractional diffusion equations
- Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations
- C. G. preconditioning for Toeplitz matrices
- A Splitting Preconditioner for Toeplitz-Like Linear Systems Arising from Fractional Diffusion Equations
- Toeplitz Preconditioners for Toeplitz Systems with Nonnegative Generating Functions
- Superlinear PCG methods for symmetric Toeplitz systems
- Preconditioning of Block Toeplitz Matrices by Sine Transforms
- Multigrid Method for Ill-Conditioned Symmetric Toeplitz Systems
- The Best Circulant Preconditioners for Hermitian Toeplitz Systems
- Preconditioners for Symmetrized Toeplitz and Multilevel Toeplitz Matrices
- Convergence of the multigrid method for ill-conditioned block Toeplitz systems
- Essential spectral equivalence via multiple step preconditioning and applications to ill conditioned Toeplitz matrices
