On the convergence of a rule by Monegato for the numerical evaluation of Cauchy principal value integrals

DOI10.1007/BF02242190zbMath0633.41029MaRDI QIDQ1096112

Claudia Chiodo, Giuliana Criscuolo

Publication date: 1988

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

uniform convergenceLegendre polynomialsCauchy principal value integraldegree of exactnessremainder estimatesinterpolatory type quadrature rule

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (2)

A new algorithm for Cauchy principal value and Hadamard finite-part integrals ⋮ Convergence and stability of a new quadrature rule for evaluating Hilbert transform

Cites Work

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• Gaussian formulae for the calculation of Cauchy principal value integrals and their convergence
• Convergence of Gauss-Christoffel formula with preassigned node for Cauchy principal-value integrals
• On the convergence of the Gauss quadrature rules for Cauchy principal value integrals
• The numerical evaluation of one-dimensional Cauchy principal value integrals
• Rates of Convergence of Gaussian Quadrature for Singular Integrands
• On the Convergence of an Interpolatory Product Rule for Evaluating Cauchy Principal Value Integrals
• On the convergence of Hunter's quadrature rule for Cauchy principal value integrals
• Numerical evaluation of cauchy principal values of integrals

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