Numerical Integration of Highly Oscillating Functions

DOI10.1007/978-1-4939-0258-3_23zbMath1325.65040OpenAlexW1853237464WikidataQ115058692 ScholiaQ115058692MaRDI QIDQ3193162

Gradimir V. Milovanović, Marija P. Stanić

Publication date: 15 October 2015

Published in: Analytic Number Theory, Approximation Theory, and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-0258-3_23

zbMATH Keywords

numerical examplenumerical integrationGaussian quadraturescontour integration methodexponential-fitting quadrature rulesFilon-type quadratureshighly oscillating functionsweighted Fourier integrals

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical methods for trigonometric approximation and interpolation (65T40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

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Uses Software

• OrthogonalPolynomials
• quadgF

Cites Work

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