A continuation method for the efficient solution of parametric optimization problems in kinetic model reduction
Optimization and Control
2013-07-09 v1 Numerical Analysis
Abstract
Model reduction methods often aim at an identification of slow invariant manifolds in the state space of dynamical systems modeled by ordinary differential equations. We present a predictor corrector method for a fast solution of an optimization problem the solution of which is supposed to approximate points on slow invariant manifolds. The corrector method is either an interior point method or a generalized Gauss--Newton method. The predictor is an Euler prediction based on the parameter sensitivities of the optimization problem. The benefit of a step size strategy in the predictor corrector scheme is shown for an example.
Cite
@article{arxiv.1301.5815,
title = {A continuation method for the efficient solution of parametric optimization problems in kinetic model reduction},
author = {Dirk Lebiedz and Jochen Siehr},
journal= {arXiv preprint arXiv:1301.5815},
year = {2013}
}