Error analysis of the extended filon-type method for highly oscillatory integrals

DOI10.1186/s40687-017-0110-4zbMath1396.65081OpenAlexW4249869264WikidataQ59523554 ScholiaQ59523554MaRDI QIDQ721961

Jing Gao, Arieh Iserles

Publication date: 20 July 2018

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://www.repository.cam.ac.uk/handle/1810/269643

zbMATH Keywords

error analysisJacobi polynomialClenshaw-Curtis pointsFilon-type methodPeano kernel theorem

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Algorithms with automatic result verification (65G20)

Related Items (9)

On an extended Filon method for highly oscillatory integrals over a simplex ⋮ A generalization of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals ⋮ Adaptive FCC+ rules for oscillatory integrals ⋮ A bivariate Filon-Clenshaw-Curtis method of the highly oscillatory integrals on a square ⋮ Asymptotic computation without derivatives for the multivariate highly oscillatory integral ⋮ Third-order exponential integrator for linear Klein–Gordon equations with time and space-dependent mass ⋮ An Adaptive Filon Algorithm for Highly Oscillatory Integrals ⋮ Efficient construction of FCC+ rules ⋮ On product integration rules for highly oscillatory integrals on a triangle

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