A unified framework for asymptotic analysis and computation of finite Hankel transform
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Publication:2287237
DOI10.1016/j.jmaa.2019.123640zbMath1430.44001arXiv1801.06950OpenAlexW2983013745WikidataQ126860467 ScholiaQ126860467MaRDI QIDQ2287237
Publication date: 20 January 2020
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.06950
asymptotic expansionoscillatory integralsfinite Hankel transformextended complete Chebyshev systemmodified Filon-type methods
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10)
Related Items (12)
Numerical methods for Cauchy principal value integrals of oscillatory Bessel functions ⋮ A bivariate Filon-Clenshaw-Curtis method of the highly oscillatory integrals on a square ⋮ 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 ⋮ Fast computation of highly oscillatory Bessel transforms ⋮ Numerical evaluation and error analysis of many different oscillatory Bessel transforms via confluent hypergeometric function ⋮ Asymptotic expansion of the integral with two oscillations on an infinite interval ⋮ Efficient quadrature rules for the singularly oscillatory Bessel transforms and their error analysis ⋮ Asymptotic analysis and numerical methods for oscillatory infinite generalized Bessel transforms with an irregular oscillator ⋮ Numerical methods for two classes of singularly oscillatory Bessel transforms and their error analysis ⋮ Numerical evaluation and analysis of highly oscillatory singular Bessel transforms with a particular oscillator
Uses Software
Cites Work
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