An Adaptive Filon Algorithm for Highly Oscillatory Integrals

DOI10.1007/978-3-319-72456-0_19zbMath1405.65028OpenAlexW2804540640MaRDI QIDQ4611810

Arieh Iserles, Jing Gao

Publication date: 22 January 2019

Published in: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-72456-0_19

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (1)

A unified framework for asymptotic analysis and computation of finite Hankel transform

Cites Work

• Interpolation and cubature approximations and analysis for a class of wideband integrals on the sphere
• Error analysis of the extended filon-type method for highly oscillatory integrals
• A numerical coordinate transformation for efficient evaluation of oscillatory integrals over wave boundary integrals
• Efficient evaluation of highly oscillatory acoustic scattering surface integrals
• A generalization of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals
• Fast integration of rapidly oscillatory functions
• An adaptive Filon-type method for oscillatory integrals without stationary points
• On quadrature methods for highly oscillatory integrals and their implementation
• Complex Gaussian quadrature for oscillatory integral transforms
• Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals
• Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering
• On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
• The kissing polynomials and their Hankel determinants
• Efficient quadrature of highly oscillatory integrals using derivatives
• Moment-free numerical integration of highly oscillatory functions

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