The stability of the Gauss-Chebyshev method for Cauchy singular integral equations
type: Item
instance of: scholarly article
title: The stability of the Gauss-Chebyshev method for Cauchy singular integral equations
zbMATH Open document ID: 0635.65140
DOI: 10.1016/0898-1221(87)90139-8
author: R. P. Srivastav
author: Apostolos Gerasoulis
publication date: 1987-01-01T00:00:00Z
review text: It is shown that the infinity condition number for the Gauss-Chebyshev method of the complete Cauchy singular integral equation of the first kind is bounded above and below by the condition number of the dominant equation times a constant. The condition number of the dominant equation is asymptotically equal to \(c_ 0\cdot n\cdot \ln (n)\). This implies that the Gauss-Chebyshev method is stable for very large n's.
reviewed by: M.Schleiff
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45E05
zbMATH DE Number: 4035091
zbMATH Keywords: stability of numerical methods
zbMATH Keywords: infinity condition number
zbMATH Keywords: Gauss- Chebyshev method
zbMATH Keywords: complete Cauchy singular integral equation of the first kind
zbMATH Keywords: dominant equation
MaRDI profile type: Publication
full work available at URL: 0898-1221(87)90139-8
OpenAlex ID: W2081741141
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 4035091