On the approximate evaluation of oscillatory-singular integrals

DOI10.1080/23311835.2017.1314066zbMath1426.65037OpenAlexW2617429875MaRDI QIDQ5193408

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Publication date: 10 September 2019

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23311835.2017.1314066

zbMATH Keywords

Cauchy principal valueanalytic functionerror boundHölder's conditionFilon's integralquasi-exact method

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical methods for trigonometric approximation and interpolation (65T40)

Cites Work

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• On quadrature for Cauchy principal value integrals of oscillatory functions.
• A method to generate generalized quadrature rules for oscillatory integrals
• Some Gauss-type formulae for the evaluation of Cauchy principal values of integrals
• Gauss Type Quadrature Rules for Cauchy Principal Value Integrals
• On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
• Quadrature Formulae for Cauchy Principal Value Integrals of Oscillatory Kind
• Calculation of the principal values, weights and nodes of the gauss quadrature formulae of integrals
• Numerical evaluation of cauchy principal values of integrals

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