Nonlinear computation
type: Item
instance of: scholarly article
title: Nonlinear computation
zbMATH Open document ID: 0886.34043
DOI: 10.1016/S0016-0032(97)00033-1
published in: Journal of the Franklin Institute
publication date: 1997-11-12T00:00:00Z
review text: This is an expository paper laying the right emphasis on the need to involve nonlinearity in the modelling of natural phenomena so as not to miss features like bifurcation, period doubling and chaos in the computed solutions. Several illustrations are given to show how methods like continuation and branch switching and features like instability and chaos are vital ingredients in the understanding of nature's functioning. Computer calculations of nonlinear systems of equations and data handling call for more effort and monitoring of accuracy and ensuring of `safety' of the computed results become more relevant. Errors of computation are usually small compared to errors in simulation and modelling is to be involved as the major source of inaccuracy of the computed results.
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 65J99
zbMATH DE Number: 1085426
zbMATH Keywords: natural phenomena
zbMATH Keywords: bifurcation
zbMATH Keywords: period doubling
zbMATH Keywords: chaos
zbMATH Keywords: computed solutions
author: Rüdiger U. Seydel
describes a project that uses: BIFPACK
MaRDI profile type: Publication
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full work available at URL: s0016-0032(97)00033-1
OpenAlex ID: W4240786568