Efficient evaluation of oscillatory Bessel Hilbert transforms

DOI10.1016/j.cam.2013.08.031zbMath1294.65110OpenAlexW2004603799MaRDI QIDQ2252192

Shuhuang Xiang, Guo He, Zhen Hua Xu

Publication date: 16 July 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2013.08.031

zbMATH Keywords

numerical exampleFilon-type methodGauss-Laguerre quadratureoscillatory Bessel Hilbert transformadaptive Clenshaw-Curtis quadrature

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10) Numerical quadrature and cubature formulas (65D32)

Related Items

Numerical methods for Cauchy principal value integrals of oscillatory Bessel functions, Efficient computation of highly oscillatory integrals with Hankel kernel, Interpolation based formulation of the oscillatory finite Hilbert transforms, Asymptotics and numerical approximation of highly oscillatory Hilbert transforms, Approximation of oscillatory Bessel integral transforms, Efficient methods for highly oscillatory integrals with weak and Cauchy singularities, On uniform approximations to hypersingular finite-part integrals, Efficient computation of oscillatory Bessel transforms with a singularity of Cauchy type, Efficient computational methods of highly oscillatory Bessel transforms with a singular point of Cauchy type and a nonlinear special oscillator, An efficient quadrature rule for the oscillatory infinite generalized Bessel transform with a general oscillator and its error analysis, Efficient numerical methods for hypersingular finite-part integrals with highly oscillatory integrands, Asymptotic analysis and numerical methods for oscillatory infinite generalized Bessel transforms with an irregular oscillator, Efficient method for the computation of oscillatory Bessel transform and Bessel Hilbert transform, Numerical methods for two classes of singularly oscillatory Bessel transforms and their error analysis

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