Analysis of Series and Products. Part 2: The Trapezoidal Rule

Thompson, Ian ORCID: 0000-0001-5537-450X, Davies, M and Urbikain, Miren Karmele (2021) Analysis of Series and Products. Part 2: The Trapezoidal Rule. American Mathematical Monthly, 128 (3). pp. 198-213.

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Official URL: http://dx.doi.org/10.1080/00029890.2021.1859323

Abstract

Following on from our recent investigation of series and products using the Euler–Maclaurin formula, we show how the trapezoidal rule can be used to obtain the same asymptotic expansions and can also produce exact transformations into equivalent series with different convergence properties.

Item Type:	Article
Depositing User:	Symplectic Admin
Date Deposited:	12 Aug 2020 08:23
Last Modified:	18 Jan 2023 23:37
DOI:	10.1080/00029890.2021.1859323
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3097199