Euler's discretization revisited
type: Item
instance of: scholarly article
title: Euler's discretization revisited
zbMATH Open document ID: 0837.65086
author: Yoichi Maeda
published in: Proceedings of the Japan Academy. Series A
publication date: 1995-09-24T00:00:00Z
review text: The author addresses the application of Euler's discretization on a class of scalar ordinary differential equations for which the numerical solution turns into chaos (in the sense of Li-Yorke) for arbitrary small stepsizes. Conditions for which the numerical solution is chaotic are presented and a simple example is given.
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 799720
zbMATH Keywords: instability of numerical solution
zbMATH Keywords: Euler's method
zbMATH Keywords: chaos
reviewed by: Claus Bendtsen
MaRDI profile type: Publication
full work available at URL: pjaa.71.58
OpenAlex ID: W2038252655
cites work: Period Three Implies Chaos
cites work: Euler's finite difference scheme and chaos
cites work: Euler's finite difference scheme and chaos in \(R^ n\)
DOI: 10.3792/PJAA.71.58
description: scientific article; zbMATH DE number 799720