Algorithm for the computation of Bessel function integrals

DOI10.1016/0377-0427(84)90037-2zbMath0542.65009OpenAlexW1985726911WikidataQ126656700 ScholiaQ126656700MaRDI QIDQ795467

Maria Branders, Robert Piessens

Publication date: 1984

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(84)90037-2

zbMATH Keywords

Bessel functionsFourier-Bessel transformChebyshev expansionFORTRAN programrapidly oscillatory integrand

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)

Related Items

A method for computing Bessel function integrals ⋮ Fast integration of rapidly oscillatory functions ⋮ On evaluation of oscillatory transforms from position to momentum space ⋮ Optimal-by-order quadrature formulae for fast oscillatory functions with inaccurately given a priori information

Uses Software

• LINPACK

Cites Work

• Unnamed Item
• Unnamed Item
• Modified Clenshaw-Curtis method for the computation of Bessel function integrals
• FFT as Nested Multiplication, with a Twist