Efficient Preconditioner Updates for Semilinear Space–Time Fractional Reaction–Diffusion Equations
DOI10.1007/978-3-030-04088-8_15zbMath1453.65284OpenAlexW2939559873MaRDI QIDQ3294697
Daniele Bertaccini, Fabio Durastante
Publication date: 29 June 2020
Published in: Structured Matrices in Numerical Linear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-04088-8_15
localized and structured linear systemssemilinear fractional diffusion equationsupdate of preconditioners
Numerical computation of solutions to systems of equations (65H10) Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06) Toeplitz, Cauchy, and related matrices (15B05) 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)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A banded preconditioner for the two-sided, nonlinear space-fractional diffusion equation
- Sparse approximate inverse preconditioners on high performance GPU platforms
- Interpolating preconditioners for the solution of sequence of linear systems
- Solving mixed classical and fractional partial differential equations using short-memory principle and approximate inverses
- A preconditioned numerical solver for stiff nonlinear reaction-diffusion equations with fractional Laplacians that avoids dense matrices
- Propriétés des matrices ``bien localisées près de leur diagonale et quelques applications. (Properties of matrices ``well localized near the diagonal and some applications)
- Riesz potential operators and inverses via fractional centred derivatives
- Fractional PDE constrained optimization: an optimize-then-discretize approach with L-BFGS and approximate inverse preconditioning
- Efficient preconditioning for sequences of parametric complex symmetric linear systems
- Preconditioning techniques for large linear systems: A survey
- Trapezoidal methods for fractional differential equations: theoretical and computational aspects
- Pitfalls in fast numerical solvers for fractional differential equations
- Robust Approximate Inverse Preconditioning for the Conjugate Gradient Method
- Discretized Fractional Calculus
- Nonsymmetric Preconditioner Updates in Newton–Krylov Methods for Nonlinear Systems
- Approximate Inverse Circulant-plus-Diagonal Preconditioners for Toeplitz-plus-Diagonal Matrices
- Fast Numerical Solution of Nonlinear Volterra Convolution Equations
- A Proposal for Toeplitz Matrix Calculations
- A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems
- Scalable Parallel Preconditioning with the Sparse Approximate Inverse of Triangular Matrices
- A Sparse Approximate Inverse Preconditioner for the Conjugate Gradient Method
This page was built for publication: Efficient Preconditioner Updates for Semilinear Space–Time Fractional Reaction–Diffusion Equations