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Double-Exponential transformation: A quick review of a Japanese tradition (2301.01920v2)
Published 5 Jan 2023 in math.NA and cs.NA
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.