On quadrature of Bessel transformations

DOI10.1016/j.cam.2004.09.027zbMath1062.65141OpenAlexW168191837MaRDI QIDQ1763773

Shuhuang Xiang

Publication date: 22 February 2005

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.2004.09.027

zbMATH Keywords

numerical examplesBessel functionsquadratureFilon-type methodintegral transformations of highly oscillatory functions

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Integral transforms of special functions (44A20) Numerical methods for integral transforms (65R10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Numerical approximation and evaluation of special functions (33F05)

Related Items (5)

Numerical evaluation of highly oscillatory Bessel transforms ⋮ An efficient quadrature rule for the oscillatory infinite generalized Bessel transform with a general oscillator and its error analysis ⋮ On evaluation of Bessel transforms with oscillatory and algebraic singular integrands ⋮ On the implementation of the asymptotic Filon-type method for infinite integrals with oscillatory Bessel kernels ⋮ Asymptotic analysis and numerical methods for oscillatory infinite generalized Bessel transforms with an irregular oscillator

Cites Work

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• A method for computing Bessel function integrals
• Fourier or Bessel transformations of highly oscillatory functions
• On the numerical quadrature of highly-oscillating integrals II: Irregular oscillators
• On the numerical quadrature of highly-oscillating integrals I: Fourier transforms
• Efficient quadrature of highly oscillatory integrals using derivatives

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