Analysis of the Computational Singular Perturbation Reduction Method for Chemical Kinetics
|Title||Analysis of the Computational Singular Perturbation Reduction Method for Chemical Kinetics|
|Year of Publication||2003|
|Authors||Zagaris, A, Kaper, HG, Kaper, TJ|
|Series Title||Journal of Nonlinear Science|
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.