Numerical quadrature for Bessel transformations

DOI10.1016/j.apnum.2007.07.002zbMath1152.65041OpenAlexW2076204025MaRDI QIDQ941604

Pinghua Mo, Shuhuang Xiang, Wei Hua Gui

Publication date: 1 September 2008

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2007.07.002

zbMATH Keywords

collocation methodasymptotic methodnumerical integrationerror boundsBessel functionquadrature and cubature formulasoscillatory integrals

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Related Items (18)

On the evaluation of infinite integrals involving Bessel functions ⋮ Numerical method for solving Volterra integral equations with oscillatory kernels using a transform ⋮ Laplace transforms for approximation of highly oscillatory Volterra integral equations of the first kind ⋮ Numerical Integration of Highly Oscillating Functions ⋮ Approximation of oscillatory Bessel integral transforms ⋮ 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 ⋮ Asymptotic expansion and quadrature rule for a class of singular-oscillatory-Bessel-type transforms ⋮ On Van der Corput-type lemmas for Bessel and Airy transforms and applications ⋮ On the evaluation of Bessel transformations with the oscillators via asymptotic series of Whittaker functions ⋮ On Filon methods for a class of Volterra integral equations with highly oscillatory Bessel kernels ⋮ On the implementation of the asymptotic Filon-type method for infinite integrals with oscillatory Bessel kernels ⋮ Fast integration of highly oscillatory integrals with exotic oscillators ⋮ A unified framework for asymptotic analysis and computation of finite Hankel transform ⋮ Note on the homotopy perturbation method for multivariate vector-value oscillatory integrals ⋮ Numerical Quadrature for Bessel Transformations with High Oscillations ⋮ Asymptotic analysis and numerical methods for oscillatory infinite generalized Bessel transforms with an irregular oscillator ⋮ Numerical approximations for highly oscillatory Bessel transforms and applications

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