A Fast Analysis-Based Discrete Hankel Transform Using Asymptotic Expansions
A fast and numerically stable algorithm is described for computing the discrete Hankel transform of order 0 as well as evaluating Schlömilch and Fourier--Bessel expansions in O(N(log N)[superscript 2]/loglog N) operations. The algorithm is based on an asymptotic expansion for Bessel functions of lar...
Main Author: | Townsend, Alex John |
---|---|
Other Authors: | Massachusetts Institute of Technology. Department of Mathematics |
Format: | Article |
Language: | en_US |
Published: |
Society for Industrial and Applied Mathematics
2015
|
Online Access: | http://hdl.handle.net/1721.1/100550 |
Similar Items
-
A fast, simple, and stable Chebyshev-Legendre transform using an asymptotic formula
by: Hale, N, et al.
Published: (2013) -
Asymptotic expansions of evolution equations with fast volatility
by: Howison, S, et al.
Published: (2025) -
Multiple scales and matched asymptotic expansions for the discrete logistic equation
by: Hall, C, et al.
Published: (2016) -
The Hilbert-Hankel transform and its application to shallow water ocean acoustics
Published: (2004) -
Hankel determinant for starlike and convex functions
by: Aini Janteng, et al.
Published: (2007)