Atomic radial basis functions in numerical algorithms for solving boundary-value problems for the Laplace equation
type: Item
instance of: scholarly article
title: Atomic radial basis functions in numerical algorithms for solving boundary-value problems for the Laplace equation
zbMATH Open document ID: 1163.65084
author: V. M. Kolodyazhnyj
author: V. A. Rvachov
published in: Cybernetics and Systems Analysis
publication date: 2009-03-27T00:00:00Z
review text: The authors introduce a special class of radial basis functions, the so called atomic functions, and use them to solve the Dirichlet problem for Laplace's equation on a rectangle. An outline of the proof of the convergence is carried out.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 5534477
zbMATH Keywords: Laplace equation
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: radial basis functions
zbMATH Keywords: Fourier series
zbMATH Keywords: Bessel functions
zbMATH Keywords: atomic functions
zbMATH Keywords: convergence
reviewed by: Calin Ioan Gheorghiu
MaRDI profile type: Publication
full work available at URL: s10559-008-9031-y
OpenAlex ID: W2026857545
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DOI: 10.1007/S10559-008-9031-Y
description: scientific article; zbMATH DE number 5534477