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LANS Publications

"Analysis of the Computational Singular Perturbation Reduction Method for Chemical Kinetics"

A. Zagaris, H. G. Kaper, and T. J. Kaper

Journal of Nonlinear Science, vol. 14, no. 1, , pp. 59-91. Also Preprint ANL/MCS-P1050-0503

Preprint Version: [pdf]

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.