Adaptive Model Reduction for Chemical Kinetics

An adaptive model reduction algorithm is proposed for systems of ODEs from chemical kinetics. Its goal is to provide an accurate approximation to the solution of these systems faster than could be obtained through straightforward numerical integration. The algorithm approximates a system with a sequence of reduced models, each one appropriate to the dynamics of the system during a period of the tra-jectory. Reduced models are identical to the original system except for the deletion of some chemical reactions. This saves the cost of computing unimportant reaction coeecients. Both the reduced models and the durations for which they are used are selected adaptively in order to eeciently yield an accurate approximate solution. The performance of the algorithm is assessed through numerical experiments.