Surveys in Differential-Algebraic Equations III, 1st ed. 2015 Differential-Algebraic Equations Forum Series

The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs), which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations. The individual chapters provide reviews, presentations of the current state of research and new concepts in - Flexibility of DAE formulations - Reachability analysis and deterministic global optimization - Numerical linear algebra methods - Boundary value problems The results are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.

1 The Flexibility of DAE Formulations (Stephen L. Campbell).- 2 Reachability Analysis and Deterministic Global Optimization of DAE Models (Joseph K. Scott and Paul I. Barton).- 3 Numerical Linear Algebra Methods for Linear Differential-Algebraic Equations (Peter Benner, Philip Losse, Volker Mehrmann and Matthias Voigt).- 4 Boundary Value Problems for Differential-Algebraic Equations (René Lamour, Roswitha März and Ewa Weinmüller).