On error bounds of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals

DOI10.1007/s10444-014-9377-9zbMath1320.65043OpenAlexW1998650240MaRDI QIDQ2355180

Yeol Je Cho, Shuhuang Xiang, Guo He

Publication date: 21 July 2015

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-014-9377-9

zbMATH Keywords

convergenceerror boundnumerical experimentChebyshev pointsoscillatory integralChebyshev series expansionsFilon-Clenshaw-Curtis quadraturealgebraical or logarithmical singularities

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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