Index-aware Model Order Reduction Methods

The main aim of this book is to discuss model order reduction (MOR) methods for differential-algebraic equations (DAEs) with linear coefficients that make use of splitting techniques before applying model order reduction. The splitting produces a system of ordinary differential equations (ODE) and a system of algebraic equations, which are then reduced separately. For the reduction of the ODE system, conventional MOR methods can be used, whereas for the reduction of the algebraic systems new methods are discussed. The discussion focuses on the index-aware model order reduction method (IMOR) and its variations, methods for which the so-called index of the original model is automatically preserved after reduction.

This is the first book on index-aware model order reduction methods The splitting technique described in this book is computationally much more effective than existing methods Methods described for the reduction of algebraic systems are new and widely applicable Includes supplementary material: sn.pub/extras

Inhalt
Introduction.- Dierential-Algebraic Equations.- Decoupling of linear constant DAEs.- Index-aware model order reduction.- Large scale problems.- Conclusion.