Generalizing the trapezoidal rule in the complex plane
type: Item
instance of: scholarly article
title: Generalizing the trapezoidal rule in the complex plane
zbMATH Open document ID: 1490.65039
author: Bengt Fornberg
published in: Numerical Algorithms
publication date: 2021-04-27T00:00:00Z
review text: The authors use the trapezoidal rule to integrate periodic functions defined along some line in the complex plane using a representation of the function to be integrated by grid-based function values. The choice of the trapezoidal rule is natural because of its accuracy and simplicity. The accuracy of the trapezoidal rule can be increased, for example, by using an end correction strategy for finite interval integrations.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 65D30
Mathematics Subject Classification ID: 65B15
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 7340122
zbMATH Keywords: Euler-Maclaurin formula
zbMATH Keywords: trapezoidal rule
zbMATH Keywords: contour integrals
zbMATH Keywords: equispaced grids
zbMATH Keywords: hexagonal grid
reviewed by: Josef Kofroň
MaRDI profile type: Publication
full work available at URL: s11075-020-00963-0
OpenAlex ID: W3045327592
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DOI: 10.1007/S11075-020-00963-0
description: scientific article; zbMATH DE number 7340122