Differential-Algebraic Equations Forum

Surveys in Differential-Algebraic Equations I

Editors: Ilchmann, Achim, Reis, Timo (Eds.)

  • A collection of survey articles, covering a broad spectrum of areas related to DAEs, each of which presented in an individual chapter
  • Unique in the sense that other books provide rather an introduction to the principles of DAEs
  • Suitable not only for graduate students for self-study but also for active researchers by dealing with specific aspects of particular fields of DAEs
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eBook $99.00
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  • ISBN 978-3-642-34928-7
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Softcover $129.00
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  • ISBN 978-3-642-34927-0
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About this book

The need for a rigorous mathematical theory for Differential-Algebraic Equations (DAEs) has its roots in the widespread applications of controlled dynamical systems, especially in mechanical and electrical engineering. Due to the strong relation to (ordinary) differential equations, the literature for DAEs mainly started out from introductory textbooks.

As such, the present monograph is new in the sense that it comprises survey articles on various fields of DAEs, providing reviews, presentations of the current state of research and new concepts in

-  Controllability for linear DAEs

-  Port-Hamiltonian differential-algebraic systems

-  Robustness of DAEs

-  Solution concepts for DAEs

-  DAEs in circuit modeling.

The results in the individual chapters 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.

Table of contents (5 chapters)

  • Controllability of Linear Differential-Algebraic Systems—A Survey

    Berger, Thomas (et al.)

    Pages 1-61

  • Robust Stability of Differential-Algebraic Equations

    Du, Nguyen Huu (et al.)

    Pages 63-95

  • DAEs in Circuit Modelling: A Survey

    Riaza, Ricardo

    Pages 97-136

  • Solution Concepts for Linear DAEs: A Survey

    Trenn, Stephan

    Pages 137-172

  • Port-Hamiltonian Differential-Algebraic Systems

    Schaft, A. J.

    Pages 173-226

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-642-34928-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $129.00
price for USA
  • ISBN 978-3-642-34927-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Surveys in Differential-Algebraic Equations I
Editors
  • Achim Ilchmann
  • Timo Reis
Series Title
Differential-Algebraic Equations Forum
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-34928-7
DOI
10.1007/978-3-642-34928-7
Softcover ISBN
978-3-642-34927-0
Series ISSN
2199-7497
Edition Number
1
Number of Pages
VII, 231
Number of Illustrations and Tables
13 b/w illustrations
Topics