The length of the de Rham curve
type: Item
instance of: scholarly article
title: The length of the de Rham curve
zbMATH Open document ID: 0924.65014
author: Serge Dubuc
author: Jean-Louis Merrien
author: P. Sablonnière
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-11-29T00:00:00Z
review text: The de Rham curve is the limit of a sequence of polygons depending on a parameter \(\gamma\). Starting from a simple polygon, say, a triangle, then the points dividing in three parts the sides of the first polygon are the vertices of the next polygon; and so on. The three parts have lengths proportional to \(1, \gamma, 1\). The paper is concerned with computing the length \(L\) of the de Rham curve. Several limiting sequences related with \(L\) are considered.
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 51M04
Mathematics Subject Classification ID: 14H45
zbMATH DE Number: 1215669
zbMATH Keywords: de Rham curve
zbMATH Keywords: numerical computation
zbMATH Keywords: length
reviewed by: Nico M. Temme
MaRDI profile type: Publication
full work available at URL: jmaa.1998.5967
OpenAlex ID: W2085642855
cites work: A Schur complement approach to a general extrapolation algorithm
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DOI: 10.1006/JMAA.1998.5967
description: scientific article; zbMATH DE number 1215669