Efficient algorithms to compute Hankel transforms using wavelets

DOI10.1016/j.cpc.2008.07.005zbMath1197.42027OpenAlexW2046378542MaRDI QIDQ711075

Rajesh K. Pandey, Om Prakash Singh, Vineet Kumar Singh

Publication date: 25 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2008.07.005

zbMATH Keywords

Bessel functionsFourier-Bessel seriesLegendre waveletsfinite Hankel transformrationalized Haar wavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (11)

A wavelet algorithm for Fourier-Bessel transform arising in optics ⋮ An application of wavelet technique in numerical evaluation of Hankel transforms ⋮ A stable Hankel transforms algorithm based on Haar wavelet decomposition for noisy data ⋮ A stable algorithm for Hankel transforms using hybrid of Block-pulse and Legendre polynomials ⋮ Spherical Bessel transform via exponential sum approximation of spherical Bessel function ⋮ A stable algorithm for numerical evaluation of Hankel transforms using Haar wavelets ⋮ Numerical evaluation of Hankel transforms using Haar wavelets ⋮ Application of Wavelets in Numerical Evaluation of Hankel Transform Arising in Seismology ⋮ Sine-cosine wavelets approach in numerical evaluation of Hankel transform for seismology ⋮ A Hankel transform approach to inverse quasi-static steady-state thermal stresses in a thick circular plate ⋮ Fast Hankel transforms algorithm based on kernel function interpolation with exponential functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical evaluation of the Hankel transform by using linear Legendre multi-wavelets
• Finite Hankel transforms of distributions
• Numerical evaluation of the zero-order Hankel transform using Filon quadrature philosophy
• On the pseudo-differential operator \((-x^{-1}D)^ \nu\)
• Numerical evaluation of the Hankel transform
• About calculation of the Hankel transform using preliminary wavelet transform
• An inverse quasi-static steady-state thermal stresses in a thick circular plate
• Evaluation of first-order Hankel transforms using Filon quadrature philosophy
• Fast Hankel transform by fast sine and cosine transforms: the Mellin connection
• Dual algorithms for fast calculation of the Fourier-Bessel transform
• A theory for multiresolution signal decomposition: the wavelet representation
• An algorithm for the numerical evaluation of the Hankel and Abel transforms
• Fast Hankel transform algorithm
• Orthonormal bases of compactly supported wavelets
• Numerical evaluation of Hankel transforms via Gaussian-Laguerre polynomial expansions
• Computation of the Hankel transform using projections
• Ten Lectures on Wavelets
• The Fourier-Bessel Series Representation of the Pseudo-Differential Operator (-x -1 D) ν
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• Haar wavelet method for solving lumped and distributed-parameter systems

This page was built for publication: Efficient algorithms to compute Hankel transforms using wavelets