Fast computation of highly oscillatory Bessel transforms

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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Veröffentlicht in:Results in applied mathematics 2024-02, Vol.21, p.100429, Article 100429
Hauptverfasser: Liu, Guidong, Xu, Zhenhua
Format: Artikel
Sprache:eng
Schlagworte:
Bessel transform
Highly oscillatory integrals
Steepest descent method
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Beschreibung
Zusammenfassung: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 transformed through distinct complex integration paths for cases with b
ISSN:2590-0374
2590-0374
DOI:10.1016/j.rinam.2023.100429