An algorithm for computing fundamental solutions of difference operators
type: Item
instance of: scholarly article
title: An algorithm for computing fundamental solutions of difference operators
zbMATH Open document ID: 1082.65137
author: Henrik Brandén
author: Per Sundqvist
published in: Numerical Algorithms
publication date: 2005-03-15T00:00:00Z
review text: The authors show that fundamental solutions of difference operators with constant coefficients can be computed using the fast Fourier transform (FFT). They propose an FFT-based algorithm for it with special remedy for the problem that occurs when the symbol has zeros.
Mathematics Subject Classification ID: 65Q05
Mathematics Subject Classification ID: 39A70
Mathematics Subject Classification ID: 65T50
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 2145927
zbMATH Keywords: fast Fourier transform
zbMATH Keywords: discrete findamental solutions
MaRDI profile type: Publication
full work available at URL: s11075-004-2879-7
OpenAlex ID: W2015731251
cites work: Q4942162
cites work: Preconditioners based on fundamental solutions
cites work: Q4328538
cites work: Toeplitz preconditioners for Hermitian Toeplitz systems
cites work: The method of fundamental solutions and compactly supported radial basis functions: A meshless approach to 3D problems
cites work: $l_2 $-Solutions to Underdetermined Linear Systems
cites work: Fundamental Solutions for Multivariate Difference Equations
cites work: Solution of Sparse Underdetermined Systems of Linear Equations
cites work: Q3359644
cites work: Q3752135
cites work: Toeplitz approximate inverse preconditioner for banded Toeplitz matrices
cites work: On the division of distributions by polynomials
cites work: Q4888880
cites work: Sur le problème de la division
cites work: An Error Analysis of a Method for Solving Matrix Equations
cites work: Methods of fundamental solutions for harmonic and biharmonic boundary value problems
DOI: 10.1007/S11075-004-2879-7
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description: scientific article; zbMATH DE number 2145927