Dynamic Dimension Reduction in ODE Models

The paper analyzes a splitting technique into fast and slow dynamical components of ODE systems as suggested by Maas And Poperecently. Their technique is based on a real block — Schur decomposition of the Jacobian of the right hand side of the ODE. As a result of the analysis, a computationally cheap monitor for the possible necessary recovering of the splitting is derived by singular perturbation theory. Numerical experiments on moderate size, but challenging reaction kinetics problems document the efficiency of the new device within a linearly-implicit stiff integrator.

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