Algorithms to numerically evaluate the Hankel transform
From MaRDI portal
Publication:2367575
DOI10.1016/0898-1221(93)90081-6zbMath0783.65086OpenAlexW1973359217MaRDI QIDQ2367575
Publication date: 10 March 1994
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0898-1221(93)90081-6
performancealgorithmscomparative studyprojection based methodsnumerical evaluation of the Hankel transformnumerical quadrature methods
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral transforms of special functions (44A20) Numerical methods for integral transforms (65R10)
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Cites Work
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- Modified Clenshaw-Curtis method for the computation of Bessel function integrals
- Fast computation of zero order Hankel transform
- A Fourier Bessel transform method for efficiently calculating the magnetic field of solenoids
- Approximation for Bessel functions and their application in the computation of Hankel transforms
- Simultaneous calculation of Fourier-Bessel transforms up to order N
- Evaluation of Bessel function integrals with algebraic singularities
- Numerical evaluation of spherical Bessel transforms via fast Fourier transforms
- Numerical Fourier and Bessel transforms in logarithmic variables
- Dual algorithms for fast calculation of the Fourier-Bessel transform
- Tables for the Rapid and Accurate Numerical Evaluation of Certain Infinite Integrals Involving Bessel Functions
- [https://portal.mardi4nfdi.de/wiki/Publication:3280446 A Short Table of � ∞ x J 0 (t)t -n dt and � ∞ x J 1 (t) t -n dt]
- An algorithm for the numerical evaluation of the Hankel and Abel transforms
- Fast Hankel transform algorithm
- Numerical evaluation of Hankel transforms via Gaussian-Laguerre polynomial expansions
- Computation of the Hankel transform using projections
- Towards a discrete hanke! transform and its applications
- Gaussian Quadrature Formulas for the Evaluation of Fourier‐Cosine Coefficients
- A Method for Computing Bessel Function Integrals
