Galerkin method for Wiener-Hopf operators with piecewise continuous symbol
type: Item
instance of: scholarly article
title: Galerkin method for Wiener-Hopf operators with piecewise continuous symbol
zbMATH Open document ID: 0976.65116
DOI: 10.1007/BF01192302
author: Pedro A. Santos
author: B. Silbermann
published in: Integral Equations and Operator Theory
publication date: 2002-01-08T00:00:00Z
review text: The Galerkin method is applied to Wiener-Hopf operators with piecewise continuous symbols. For this, an algebra of sequences is introduced, which contains the approximating sequences. The objective of this paper is to study the stability of these sequences using spline Galerkin methods for Wiener-Hopf operators. There is a direct relationship between the stability of the approximation method for the given operator and the invertibility of the corresponding sequence in the introduced algebra. Exploring this relationships stability criteria for the approximation sequences are derived.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 47B35
zbMATH DE Number: 1542582
zbMATH Keywords: Galerkin method
zbMATH Keywords: Wiener-Hopf operators
zbMATH Keywords: piecewise continuous symbols
zbMATH Keywords: stability
zbMATH Keywords: approximation sequences
reviewed by: Lechoslaw Hącia
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1542582