2003/05/26 by Antonios Zagaris, Zagaris, Antonios, Hans G. Kaper +3 · 1 citation
Chemical Engineering · Engineering · Mathematics · #34C20 #34E13 #34E15 #Advanced Combustion Engine Technologies #Classical Analysis and ODEs (math.CA) #Combustion and flame dynamics #Dynamical Systems (math.DS) #FOS: Mathematics #Thermochemical Biomass Conversion Processes #math.CA #math.DS #msc:34C20 #msc:34E13 #msc:34E15
paper · pdf · doi:10.48550/arxiv.math/0305355
39 pages
arxiv created 2003/05/26 · openalex publication_date 2003/05/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.