TY - BOOK AU - Banagaaya,N. AU - Alì,G. AU - Schilders,W.H.A. ED - SpringerLink (Online service) TI - Index-aware Model Order Reduction Methods: Applications to Differential-Algebraic Equations T2 - Atlantis Studies in Scientific Computing in Electromagnetics, SN - 9789462391895 AV - QA71-90 U1 - 518 23 PY - 2016/// CY - Paris PB - Atlantis Press, Imprint: Atlantis Press KW - Mathematics KW - Computer science KW - Computer mathematics KW - Electrical engineering KW - Computational Mathematics and Numerical Analysis KW - Electrical Engineering KW - Mathematics of Computing N1 - Introduction -- Di?erential-Algebraic Equations -- Decoupling of linear constant DAEs -- Index-aware model order reduction -- Large scale problems -- Conclusion N2 - 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 UR - http://148.231.10.114:2048/login?url=http://dx.doi.org/10.2991/978-94-6239-189-5 ER -