Asymptotic analysis and numerical methods for oscillatory infinite generalized Bessel transforms with an irregular oscillator

DOI10.1007/s10915-020-01132-0OpenAlexW3002981423WikidataQ126305761 ScholiaQ126305761MaRDI QIDQ2291952

Yanyan Li

Publication date: 31 January 2020

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-020-01132-0

zbMATH Keywords

error analysisasymptotic expansionsstationary pointsnew modified filon-type methodsoscillatory infinite Bessel transforms

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Numerical methods for integral transforms (65R10) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Related Items (5)

Numerical methods for Cauchy principal value integrals of oscillatory Bessel functions ⋮ Approximation of oscillatory Bessel integral transforms ⋮ An efficient quadrature rule for the oscillatory infinite generalized Bessel transform with a general oscillator and its error analysis ⋮ Numerical evaluation and error analysis of many different oscillatory Bessel transforms via confluent hypergeometric function ⋮ Efficient quadrature rules for the singularly oscillatory Bessel transforms and their error analysis

Uses Software

• DLMF

Cites Work

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