Method of invariant manifold for chemical kinetics
arXiv:cond-mat/0207231 · doi:10.1016/j.ces.2002.12.001
Abstract
In this paper, we review the construction of low-dimensional manifolds of reduced description for equations of chemical kinetics from the standpoint of the method of invariant manifold (MIM). MIM is based on a formulation of the condition of invariance as an equation, and its solution by Newton iterations. A review of existing alternative methods is extended by a thermodynamically consistent version of the method of intrinsic low-dimensional manifolds. A grid-based version of MIM is developed, and model extensions of low-dimensional dynamics are described. Generalizations to open systems are suggested. The set of methods covered makes it possible to effectively reduce description in chemical kinetics.
41 pages, 1 figure
References in corpus (1)
Cited by in corpus (5)
- Constructive Methods of Invariant Manifolds for Kinetic Problems
- Uniqueness of thermodynamic projector and kinetic basis of molecular individualism
- Legendre Integrators, Post-Processing and Quasiequilibrium
- Analysis of the CSP Reduction Method for Chemical Kinetics
- Invariance correction to Grad's equations: Where to go beyond approximations?