Application of the Cauchy integral approach to singular and highly oscillatory integrals

DOI10.1080/00207160.2021.1876228zbMath1480.65061OpenAlexW3124528866WikidataQ114101716 ScholiaQ114101716MaRDI QIDQ5033389

Turgut Öziş, Suliman Alfaqeih, I. Kayijuka

Publication date: 22 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2021.1876228

zbMATH Keywords

Gauss-Laguerre quadrature rulehighly oscillatory integralsGauss quadrature rulesChebyshev algorithmnumerical steepest descent method

Mathematics Subject Classification ID

Numerical integration (65D30)

Related Items (2)

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Uses Software

• Mathematica
• OPQ

Cites Work

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• The double exponential formula for oscillatory functions over the half infinite interval
• Fast computation of singular oscillatory Fourier transforms
• Fast integration of rapidly oscillatory functions
• Computation of integrals with oscillatory and singular integrands using Chebyshev expansions
• Clenshaw-Curtis algorithms for an efficient numerical approximation of singular and highly oscillatory Fourier transform integrals
• Fast computation of a class of highly oscillatory integrals
• Efficient methods for highly oscillatory integrals with weak and Cauchy singularities
• On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
• Algorithm 726: ORTHPOL–a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules

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