A comparison of some quadrature methods for approximating Cauchy principal value integrals
type: Item
instance of: scholarly article
title: A comparison of some quadrature methods for approximating Cauchy principal value integrals
zbMATH Open document ID: 0829.65027
author: V. Pereyra
published in: Journal of Computational Physics
publication date: 1995-04-05T00:00:00Z
review text: Numerical results of the evaluation of Cauchy principal value integrals are presented. The authors propose a modified IMT quadrature scheme [cf. \textit{M. Iri, S. Moriguti} and \textit{Y. Takasawa}, J. Comput. Appl. Math. 17, 3-20 (1987; Zbl 0616.65023)] and demonstrate better results than evaluations by means of the Sinc scheme or standard methods as Gaussian or Chebyshev schemes. Five problems are solved by all methods and comparative results are presented.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 740637
zbMATH Keywords: comparison
zbMATH Keywords: quadrature methods
zbMATH Keywords: Cauchy principal value integrals
zbMATH Keywords: Sinc scheme
MaRDI profile type: Publication
full work available at URL: jcph.1995.1034
OpenAlex ID: W2090937077
DOI: 10.1006/JCPH.1995.1034
description: scientific article; zbMATH DE number 740637