© 2017

Surveys in Differential-Algebraic Equations IV

  • Achim Ilchmann
  • Timo Reis
  • 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


Part of the Differential-Algebraic Equations Forum book series (DAEF)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Martin Arnold
    Pages 41-106
  3. Thomas Berger, Timo Reis, Stephan Trenn
    Pages 161-219
  4. Back Matter
    Pages 301-305

About this book


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 

- History of DAEs 
- DAE aspects of mechanical multibody systems 
- Model reduction of DAEs 
- Observability for DAEs 
- Numerical Analysis for DAEs

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.


differential-algebraic equations numerical analysis modeling control simulation of systems in mechanical multibody dynamics

Editors and affiliations

  • Achim Ilchmann
    • 1
  • Timo Reis
    • 2
  1. 1.Institut für MathematikTechnische Universität IlmenauIlmenauGermany
  2. 2.Fachbereich MathematikUniversität HamburgHamburgGermany

About the editors

Bibliographic information