Surveys in Differential-Algebraic Equations III

Başlık:

Yazar:

Ilchmann, Achim. editor.

ISBN:

9783319224282

Edition:

1st ed. 2015.

Fiziksel Tanım:

IX, 313 p. 42 illus., 21 illus. in color. online resource.

Series:

Differential-Algebraic Equations Forum,

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).

Abstract:

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.

Konu Terimleri:

Mathematics.

Differential equations.

System theory.

Numerical analysis.

Ordinary Differential Equations.

Systems Theory, Control.

Added Author:

Ilchmann, Achim.

Reis, Timo.

Added Corporate Author:

SpringerLink (Online service)

Electronic Access:

http://dx.doi.org/10.1007/978-3-319-22428-2

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Özet

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.