Double-Exponential transformation: A quick review of a Japanese tradition
Numerical Analysis
2025-05-22 v2 Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.2301.01920,
title = {Double-Exponential transformation: A quick review of a Japanese tradition},
author = {Kazuo Murota and Takayasu Matsuo},
journal= {arXiv preprint arXiv:2301.01920},
year = {2025}
}
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10 pages