Efficient methods for highly oscillatory integrals with weakly singular and hypersingular kernels
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Publication:2286024
DOI10.1016/j.amc.2019.06.013zbMath1433.65034OpenAlexW2953610246WikidataQ127593876 ScholiaQ127593876MaRDI QIDQ2286024
Publication date: 9 January 2020
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2019.06.013
Filon-Clenshaw-Curtis methodhighly oscillatoryGauss-Laguerre quadratureHermite interpolation polynomialhypersingular
Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)
Related Items
Numerical methods for Cauchy principal value integrals of oscillatory Bessel functions, Asymptotics and numerical approximation of highly oscillatory Hilbert transforms, Efficient computation of oscillatory Bessel transforms with a singularity of Cauchy type, Efficient numerical methods for hypersingular finite-part integrals with highly oscillatory integrands, An efficient quadrature rule for weakly and strongly singular integrals, Efficient numerical methods for Cauchy principal value integrals with highly oscillatory integrands, Efficient and accurate quadrature methods of Fourier integrals with a special oscillator and weak singularities
Uses Software
Cites Work
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