Analysis of the Csp Reduction Method for Chemical Kinetics

نویسندگان

  • Antonios Zagaris
  • Hans G. Kaper
  • Tasso J. Kaper
چکیده

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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تاریخ انتشار 2003