Efficient Filon method for oscillatory integrals

DOI10.1016/j.amc.2013.06.085zbMath1329.65062OpenAlexW2025203162MaRDI QIDQ905353

Lawrence F. Shampine

Publication date: 19 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.06.085

zbMATH Keywords

quadratureoscillatoryFilon

Mathematics Subject Classification ID

Numerical integration (65D30)

Related Items (4)

Filon-Clenshaw-Curtis rules for a class of highly-oscillatory integrals with logarithmic singularities ⋮ On the implementation of the asymptotic Filon-type method for infinite integrals with oscillatory Bessel kernels ⋮ Numerical results for Saito’s uniqueness theorem in inverse scattering theory ⋮ Numerical Integration of Functions of a Rapidly Rotating Phase

Uses Software

• Matlab
• Algorithm 644
• quadgk
• quadgF
• quadva

Cites Work

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• Filon-Clenshaw-Curtis rules for a class of highly-oscillatory integrals with logarithmic singularities
• Computation of oscillating integrals
• Two robust methods for irregular oscillatory integrals over a finite range
• A comparison of some methods for the evaluation of highly oscillatory integrals
• Integrating oscillatory functions in \texttt{Matlab}. II.
• Vectorized adaptive quadrature in MATLAB
• Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals
• Integrating oscillatory functions in M<scp>atlab</scp>
• Algorithm 644
• Efficient quadrature of highly oscillatory integrals using derivatives
• An algorithm for Filon quadrature

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