Surveys in Differential-Algebraic Equations III

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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 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.

Author(s): Achim Ilchmann, Timo Reis (eds.)
Series: Differential-Algebraic Equations Forum
Publisher: Springer
Year: 2015

Language: English
Pages: 320
Tags: Ordinary Differential Equations; Numerical Analysis; Systems Theory, Control

Front Matter....Pages i-ix
The Flexibility of DAE Formulations....Pages 1-59
Reachability Analysis and Deterministic Global Optimization of DAE Models....Pages 61-116
Numerical Linear Algebra Methods for Linear Differential-Algebraic Equations....Pages 117-175
Boundary-Value Problems for Differential-Algebraic Equations: A Survey....Pages 177-309
Back Matter....Pages 311-313