A numerical study of fractional linear algebraic systems
type: Item
instance of: scholarly article
title: A numerical study of fractional linear algebraic systems
author: Emmanuel Lorin
author: Simon Tian
published in: Mathematics and Computers in Simulation
publication date: 2021-03-06T00:00:00Z
Mathematics Subject Classification ID: 65Dxx
Mathematics Subject Classification ID: 34Axx
Mathematics Subject Classification ID: 65Fxx
Mathematics Subject Classification ID: 35Rxx
zbMATH DE Number: 7318268
zbMATH Keywords: Cauchy integral
zbMATH Keywords: Padé's approximants
zbMATH Keywords: ordinary differential equation solver
zbMATH Keywords: preconditioner
zbMATH Keywords: \(p\)th roots
zbMATH Keywords: GMRES
zbMATH Keywords: fractional differential equations
describes a project that uses: mftoolbox
describes a project that uses: FEAST
MaRDI profile type: Publication
full work available at URL: j.matcom.2020.11.010
OpenAlex ID: W3110515582
cites work: Efficient implementation of rational approximations to fractional differential operators
cites work: ABSORBING BOUNDARY CONDITIONS FOR THE TWO-DIMENSIONAL SCHRÖDINGER EQUATION WITH AN EXTERIOR POTENTIAL PART I: CONSTRUCTION AND A PRIORI ESTIMATES
cites work: Accelerating the Solution of Linear Systems by Iterative Refinement in Three Precisions
cites work: Q5701672
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Q5851422
cites work: A Schur–Newton Method for the Matrix \lowercase{\boldmathp}th Root and its Inverse
cites work: A black-box rational Arnoldi variant for Cauchy-Stieltjes matrix functions
cites work: Computing $A^\alpha, \log(A)$, and Related Matrix Functions by Contour Integrals
cites work: Evaluating Padé approximants of the matrix logarithm
cites work: Functions of Matrices
cites work: Numerical Methods for the Fractional Laplacian: A Finite Difference-Quadrature Approach
cites work: On the Newton Method for the Matrix Pth Root
cites work: Rational Iterative Methods for the Matrix Sign Function
cites work: A Padé family of iterations for the matrix sector function and the matrix p th root
cites work: Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation
cites work: Q4414854
cites work: Numerical Methods for Large Eigenvalue Problems
cites work: GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
cites work: A Schur Algorithm for Computing Matrix pth Roots
cites work: FEAST as a subspace iteration eigensolver accelerated by approximate spectral projection
cites work: Fast and stable algorithms for computing the principal \(n\)th root of a complex matrix and the matrix sector function
cites work: Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions
cites work: Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
DOI: 10.1016/J.MATCOM.2020.11.010
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description: scientific article; zbMATH DE number 7318268