Double-Exponential transformation: A quick review of a Japanese tradition

Fuente: arXiv
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Auteurs principaux: Murota, Kazuo, Matsuo, Takayasu
Format: Preprint
Publié: 2023
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author Murota, Kazuo
Matsuo, Takayasu
author_facet Murota, Kazuo
Matsuo, Takayasu
contents This paper is a short introduction to numerical methods using the double exponential (DE) transformation, such as tanh-sinh quadrature and DE-Sinc approximation. The DE-based methods for numerical computation have been developed intensively in Japan and the objective of this paper is to describe their history in addition to the underlying mathematical ideas.
format Preprint
id arxiv_https___arxiv_org_abs_2301_01920
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Double-Exponential transformation: A quick review of a Japanese tradition
Murota, Kazuo
Matsuo, Takayasu
Numerical Analysis
65D30, 65D15
This paper is a short introduction to numerical methods using the double exponential (DE) transformation, such as tanh-sinh quadrature and DE-Sinc approximation. The DE-based methods for numerical computation have been developed intensively in Japan and the objective of this paper is to describe their history in addition to the underlying mathematical ideas.
title Double-Exponential transformation: A quick review of a Japanese tradition
topic Numerical Analysis
65D30, 65D15
url https://arxiv.org/abs/2301.01920