Fast computation of highly oscillatory Bessel transforms

This study focuses on the efficient and precise computation of Bessel transforms, defined as ∫abf(x)Jν(ωx)dx. Exploiting the integral representation of Jν(ωx), these Bessel transformations are reformulated into the oscillatory integrals of Fourier-type. When a>0, these Fourier-type integrals are...

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Bibliographic Details
Main Authors: Guidong Liu, Zhenhua Xu
Format: Article
Language:English
Published: Elsevier 2024-02-01
Series:Results in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037423000754