Numerical analysis for Cauchy principal value integrals of oscillatory kind

DOI10.1080/00207160.2012.655688zbMath1255.65070OpenAlexW2133618020MaRDI QIDQ4903568

Ru-yun Chen

Publication date: 22 January 2013

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

Full work available at URL: https://doi.org/10.1080/00207160.2012.655688

zbMATH Keywords

Cauchy principal valueapproximationnumerical quadratureHermite interpolationoscillatory integral

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Related Items (8)

Numerical evaluation of oscillatory-singular integrals ⋮ Fast computation of a class of highly oscillatory integrals ⋮ Asymptotics and numerical approximation of highly oscillatory Hilbert transforms ⋮ On quadrature of highly oscillatory integrals with logarithmic singularities ⋮ Numerical approximations of highly oscillatory Hilbert transforms ⋮ Efficient numerical methods for hypersingular finite-part integrals with highly oscillatory integrands ⋮ An improved algorithm for the evaluation of Cauchy principal value integrals of oscillatory functions and its application ⋮ Efficient numerical methods for Cauchy principal value integrals with highly oscillatory integrands

Cites Work

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• Efficient Filon-type methods for \(\int_a^b f(x)\,e^{i\omega g(x)}\, dx\)
• Uniform approximations to Cauchy principal value integrals of oscillatory functions
• On quadrature for Cauchy principal value integrals of oscillatory functions.
• The numerical solution of linear recurrence relations

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