A method for the numerical evaluation of a Hadamard finite part integral

DOI10.1016/S0010-4655(97)00080-5zbMath0930.65014MaRDI QIDQ1301535

V. Pereyra

Publication date: 12 September 1999

Published in: Computer Physics Communications (Search for Journal in Brave)

zbMATH Keywords

asymptotic error analysisCauchy principal value integralIMT quadratureHadamard finite part integral

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Cites Work

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• A sinc quadrature rule for Hadamard finite-part integrals
• The numerical evaluation of Hadamard finite-part integrals
• Hilbert and Hadamard transforms by generalized Chebyshev expansion
• A comparison of some quadrature methods for approximating Cauchy principal value integrals
• On the solution of integral equations with strongly singular kernels
• An error analysis of the Cauchy principal value integral evaluation by the IMT scheme
• THE MATHEMATICS OF PRINCIPAL VALUE INTEGRALS AND APPLICATIONS TO NUCLEAR PHYSICS, TRANSPORT THEORY, AND CONDENSED MATTER PHYSICS

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