Li, Zhenquan and Roberts, A. J. (2007) A flexible error estimate for the application of centre manifold theory. Global Journal of Pure and Applied Mathematics, 3 (3). pp. 241249. ISSN 09731768

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Abstract
In applications of centre manifold theory we need more flexible error estimates than that provided by, for example, the Approximation Theorem 3 by Carr [4, 6]. Here we extend the theory to cover the case where the order of approximation in parameters and that in dynamical variables may be completely different. This allows, for example, the effective evaluation of lowdimensional dynamical models at finite parameter values.
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Item Type:  Article (Commonwealth Reporting Category C) 

Refereed:  Yes 
Item Status:  Live Archive 
Additional Information:  Submitted Version made accessible, and also available at http://arxiv.org/abs/math.DS/0002138 
Depositing User:  ePrints Administrator 
Faculty / Department / School:  Historic  Faculty of Sciences  Department of Maths and Computing 
Date Deposited:  20 Apr 2010 12:32 
Last Modified:  02 Jul 2013 23:48 
Uncontrolled Keywords:  error; estimation theory; approximation theory; functional analysis; polynomials; centre manifold; error estimate 
Fields of Research (FOR2008):  01 Mathematical Sciences > 0101 Pure Mathematics > 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems 09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics 01 Mathematical Sciences > 0101 Pure Mathematics > 010199 Pure Mathematics not elsewhere classified 
SocioEconomic Objective (SEO2008):  E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences 
URI:  http://eprints.usq.edu.au/id/eprint/7527 
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