Efficient Modified Filon-Type Quadrature for Highly Oscillatory Bessel Transformations

DOI10.1063/1.3030799zbMATH Open1179.65030OpenAlexW1512957517MaRDI QIDQ3650639

Shuhuang Xiang

Publication date: 15 December 2009

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3030799

zbMATH Keywords

numerical resultserror boundnumerical quadratureBessel functionoscillatory integralFilon-type method

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (2)

An efficient quadrature rule for the oscillatory infinite generalized Bessel transform with a general oscillator and its error analysis ⋮ Efficient method for the computation of oscillatory Bessel transform and Bessel Hilbert transform

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