Reduced sum implementation of the BURA method for spectral fractional diffusion problems
DOI10.1007/978-3-030-97549-4_6zbMath1493.65174arXiv2105.09048OpenAlexW3160664291MaRDI QIDQ2128431
Yavor Vutov, Nikola Kosturski, Stanislav Harizanov, Svetozar Margenov, I. D. Lirkov
Publication date: 22 April 2022
Full work available at URL: https://arxiv.org/abs/2105.09048
finite difference approximationfractional diffusion problemssparse, symmetric and positive definite (SPD) matrix
Computational methods for sparse matrices (65F50) Numerical optimization and variational techniques (65K10) Error bounds for boundary value problems involving PDEs (65N15) Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence of solutions for minimax problems (49J35) Finite difference methods for boundary value problems involving PDEs (65N06) Preconditioners for iterative methods (65F08) Fractional partial differential equations (35R11)
Cites Work
- Some numerical results on best uniform rational approximation of \(x^ \alpha\) on [0,1]
- Best uniform rational approximation of \(x^ \alpha\) on \([0,1\).]
- An algorithm for best rational approximation based on barycentric rational interpolation
- A unified view of some numerical methods for fractional diffusion
- Comparison analysis of two numerical methods for fractional diffusion problems based on the best rational approximations of \(t^\gamma\) on \([0, 1\)]
- A survey on numerical methods for spectral space-fractional diffusion problems
- Neumann fractional diffusion problems: BURA solution methods and algorithms
- Optimal solvers for linear systems with fractional powers of sparse SPD matrices
- Best uniform rational approximation of 𝑥^{𝛼} on [0,1]
- Numerical approximation of fractional powers of elliptic operators
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