Analysis of the Computational Singular Perturbation Reduction Method for Chemical Kinetics

TitleAnalysis of the Computational Singular Perturbation Reduction Method for Chemical Kinetics
Publication TypeReport
Year of Publication2003
AuthorsZagaris, A, Kaper, HG, Kaper, TJ
Series TitleJournal of Nonlinear Science
Pagination59-91
Date Published05/2003
Other NumbersANL/MCS-P1050-0503
Abstract

This article is concerned with the asymptotic accuracy of the Computational Singular Perturbation (CSP) method developed by Lam and Goussis to reduce the dimensionality of a system of chemical kinetics equations. The method exploits the presence of disparate time scales to model the dynamics by an evolution equation on a lower-dimensional slow manifold. In this article it is shown that the successive applications of the CSP algorithm generate, order by order, the asymptotic expansion of a slow manifold. The results are illustrated on the Michaelis-Menten-Henri equations of enzyme kinetics.

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