Detailed modeling of complex reaction systems is becoming increasingly important in the
development, analysis, design, and control of chemical reaction processes. For industrial …

Publisher Summary Chemical mechanisms have been employed in hydrocarbon
combustion as a means of understanding the underlying phenomenology of the combustion …

This paper concerns two methods for reducing large systems of chemical kinetics equations,
namely, the method of intrinsic low-dimensional manifolds (ILDMs) due to Maas and Pope …

After the decay of transients, the behavior of a set of differential equations modeling a
chemical or biochemical system generally rests on a low-dimensional surface which is an …

Advanced experimental techniques in chemistry and physics provide increasing access to
detailed deterministic mass action models for chemical reaction kinetics. Especially in …

The computational singular perturbation (CSP) method ofLam and Goussis is an iterative
method to reduce the dimensionality of systems of ordinary differential equations with …

This review gives a brief account of basic ideas underlying approaches to analysis and
modeling of large‐scale reaction systems. The emphasis is on model simplification and …

This work addresses the construction of slow manifolds for chemically reactive flows. This
construction relies on the same decomposition of a local eigensystem that is used in …

In calculations of chemically reactive flows, dimension reduction of reactive systems via the
use of slow attracting manifolds is an effective approach to reducing the computational …

A new dimension-reduction method, the Invariant Constrained-equilibrium Edge Pre-Image
Curve (ICE-PIC) method, to simplify chemical kinetics has recently been developed by Ren …