Analysis of the CSP Reduction Method for Chemical Kinetics
作者： Antonios Zagaris , Tasso J. Kaper , Hans G. Kaper
DOI:
关键词: Curse of dimensionality 、 Chemical kinetics 、 Applied mathematics 、 Evolution equation 、 Dynamical systems theory 、 Asymptotic expansion 、 Slow manifold 、 Mathematics 、 Singular perturbation 、 Reduction (complexity) 、 Mathematical analysis
摘要: This article is concerned with the asymptotic accuracy of Computational Singular Perturbation (CSP) method developed by Lam and Goussis to reduce dimensionality a system chemical kinetics equations. The exploits presence disparate time scales model dynamics an evolution equation on lower-dimensional slow manifold. In this it shown that successive applications CSP algorithm generate, order order, expansion results are illustrated Michaelis-Menten-Henri equations enzyme kinetics.
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