Interpolatory quadrature rules for oscillatory integrals

DOI10.1007/s10915-012-9589-4zbMath1259.65223arXiv1406.5880OpenAlexW2013381930MaRDI QIDQ1936302

Veerle Ledoux, Marnix van Daele

Publication date: 4 February 2013

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.5880

zbMATH Keywords

numerical examplesnumerical quadratureFourier coefficientsexponential fittinghigh oscillationFilon-Clenchaw-Curtis rulesFilon-type rulesGauss-type rules

Mathematics Subject Classification ID

Numerical methods for trigonometric approximation and interpolation (65T40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (6)

Modified Gauss-Laguerre exponential fitting based formulae ⋮ Numerical Integration of Highly Oscillating Functions ⋮ An adaptive Filon-type method for oscillatory integrals without stationary points ⋮ A Gaussian quadrature rule for oscillatory integrals on a bounded interval ⋮ Large degree asymptotics of orthogonal polynomials with respect to an oscillatory weight on a bounded interval ⋮ A Numerical Method for Oscillatory Integrals with Coalescing Saddle Points

Uses Software

• RCMS

Cites Work

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