A dual algorithm for fast calculation of the \(H^ 1_ 0\)-transform

DOI10.1016/0021-9991(86)90212-3zbMath0593.65090OpenAlexW2196697424MaRDI QIDQ1076502

Jean-Marc Loesch, Sebastien M. Candel, Annie Lelarge, Eric Boussarie

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-9991(86)90212-3

zbMATH Keywords

Hankel transformfast Fourier transformWalsh-Hadamard transformsdual algorithmFourier- Bessel transforms

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Numerical methods for trigonometric approximation and interpolation (65T40)

Cites Work

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• A Fourier Bessel transform method for efficiently calculating the magnetic field of solenoids
• Simultaneous calculation of Fourier-Bessel transforms up to order N
• Numerical Fourier and Bessel transforms in logarithmic variables
• Dual algorithms for fast calculation of the Fourier-Bessel transform
• An algorithm for the numerical evaluation of the Hankel and Abel transforms
• Theoretical and numerical Green’s function field solution in a plane multilayered medium
• Numerical evaluation of Hankel transforms via Gaussian-Laguerre polynomial expansions
• Computation of the Hankel transform using projections
• Slot Coupling of Rectangular and Spherical Wave Guides

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