A Sinc Rule for the Hankel Transform

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Scientific Computing Pub Date : 2024-06-04 DOI:10.1007/s10915-024-02575-5

Eleonora Denich, Paolo Novati

引用次数: 0

Abstract

This paper deals with the computation of the Hankel transform by means of the sinc rule applied after a special exponential transformation. An error analysis, particularly suitable for meromorphic functions, together with the parameter selection strategy, is considered. A prototype algorithm for automatic integration is also presented.

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汉克尔变换的 Sinc 规则

本文论述了通过在特殊指数变换后应用 sinc 规则来计算汉克尔变换。文中考虑了误差分析，特别是适用于合态函数的误差分析，以及参数选择策略。此外，还介绍了一种自动积分的原型算法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Scientific Computing 数学-应用数学

CiteScore

4.00

自引率

12.00%

发文量

302

审稿时长

4-8 weeks

期刊介绍： Journal of Scientific Computing is an international interdisciplinary forum for the publication of papers on state-of-the-art developments in scientific computing and its applications in science and engineering. The journal publishes high-quality, peer-reviewed original papers, review papers and short communications on scientific computing.