A new and efficient method for the computation of Legendre coefficients
Numerical Analysis
2011-06-03 v1 Mathematical Physics
math.MP
Abstract
An efficient procedure for the computation of the coefficients of Legendre expansions is here presented. We prove that the Legendre coefficients associated with a function f(x) can be represented as the Fourier coefficients of an Abel-type transform of f(x). The computation of N Legendre coefficients can then be performed in O(N log N) operations with a single Fast Fourier Transform of the Abel-type transform of f(x).
Cite
@article{arxiv.1106.0463,
title = {A new and efficient method for the computation of Legendre coefficients},
author = {Enrico De Micheli and Giovanni Alberto Viano},
journal= {arXiv preprint arXiv:1106.0463},
year = {2011}
}
Comments
5 pages