Chaotic numerical instabilities arising in the transition from differential to difference nonlinear equations

For computational purposes, a numerical algorithm maps a differential equation into an often complex difference equation whose structure and stability depends on the scheme used. When considering nonlinear models, standard and nonstandard integration routines can act invasively and numerical chaotic...

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Bibliographic Details
Main Author: Alicia Serfaty de Markus
Format: Article
Language:English
Published: Hindawi Limited 2000-01-01
Series:Discrete Dynamics in Nature and Society
Subjects:
Online Access:http://dx.doi.org/10.1155/S1026022600000029