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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 problemsThe 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.
List of contents
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).
Summary
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.
