Simultaneous calculation of Fourier-Bessel transforms up to order N

DOI10.1016/0021-9991(81)90050-4zbMath0485.65097OpenAlexW1970383820MaRDI QIDQ1164406

Sebastien M. Candel

Publication date: 1981

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(81)90050-4

zbMATH Keywords

Hankel transformsdiscrete Fourier transformsignal processingFourier series coefficientsFourier-Bessel transformsone-dimensional Fourier transform

Mathematics Subject Classification ID

Numerical methods for integral transforms (65R10) Numerical methods for trigonometric approximation and interpolation (65T40)

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A dual algorithm for fast calculation of the \(H^ 1_ 0\)-transform ⋮ Algorithms to numerically evaluate the Hankel transform ⋮ A method for computing Bessel function integrals ⋮ Transient radiation field of annular-sectorial planar pistons: the angular spectrum method ⋮ State vector solutions for nonaxisymmetric problem of multilayered half space piezoelectric medium ⋮ Numerical evaluation of the Hankel transform by using linear Legendre multi-wavelets ⋮ Numerical evaluation of the Hankel transform ⋮ Three-dimensional non-axisymmetric Lamb's problem for saturated soil

Cites Work

• A Fourier Bessel transform method for efficiently calculating the magnetic field of solenoids
• Numerical Fourier and Bessel transforms in logarithmic variables
• Dual algorithms for fast calculation of the Fourier-Bessel transform
• Numerical evaluation of Hankel transforms via Gaussian-Laguerre polynomial expansions
• Computation of the Hankel transform using projections
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