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Surveys in differential-algebraic equations III / edited by Achim Ilchmann, Timo Reis.

Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International Available online

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Format:
Book
Contributor:
Ilchmann, Achim, 1956- Editor.
Reis, Timo, Editor.
Series:
Differential-Algebraic Equations Forum, 2199-7497
Language:
English
Subjects (All):
Differential equations.
Numerical analysis.
System theory.
Ordinary Differential Equations.
Numerical Analysis.
Systems Theory, Control.
Local Subjects:
Ordinary Differential Equations.
Numerical Analysis.
Systems Theory, Control.
Physical Description:
1 online resource (320 p.)
Edition:
1st ed. 2015.
Place of Publication:
Cham : Springer International Publishing : Imprint: Springer, 2015.
Language Note:
English
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.
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).
Notes:
Description based upon print version of record.
Includes bibliographical references and index.
ISBN:
3-319-22428-X

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