Analysis of the CSP Reduction Method for Chemical Kinetics

Details Analysis of the CSP Reduction Method for Chemical Kinetics Analysis of the CSP Reduction Method for Chemical Kinetics

2003-05-26

arxiv.org/abs/math/0305355v1

Mathematics

Dynamical Systems

39 pages

Scientific paper

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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