A unified framework for asymptotic analysis and computation of finite Hankel transform
Numerical Analysis
2020-01-08 v2
Abstract
In this paper we present a unified framework for asymptotic analysis and computation of the finite Hankel transform. This framework enables us to derive asymptotic expansions of the transform, including the cases where the oscillator has zeros and stationary points. As a consequence, two efficient and affordable methods for computing the transform numerically are developed and a detailed analysis of their asymptotic error estimate is carried out. Numerical examples are provided to confirm our analysis.
Keywords
Cite
@article{arxiv.1801.06950,
title = {A unified framework for asymptotic analysis and computation of finite Hankel transform},
author = {Haiyong Wang},
journal= {arXiv preprint arXiv:1801.06950},
year = {2020}
}
Comments
31 pages