Differential-Algebraic Equations Forum

Differential-Algebraic Equations: A Projector Based Analysis

Authors: Lamour, René, März, Roswitha, Tischendorf, Caren

  • New comprehensive analysis of general nonlinear DAEs
  • First book describing the projector approach for nonlinear, higher-index DAEs
  • Rigorous description, multitude of examples highlighting analytical and numerical challenges in this field
  • Suitable for students, researchers and users from different application fields (e.g. circuit and electromagnetic simulation, mechanical engineering, system biology)
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eBook $109.00
price for USA (gross)
  • ISBN 978-3-642-27555-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $149.00
price for USA
  • ISBN 978-3-642-27554-8
  • 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
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About this book

Differential algebraic equations (DAEs), including so-called descriptor systems, began to attract significant research interest in applied and numerical mathematics in the early 1980s, no more than about three decades ago. In this relatively short time, DAEs have become a widely acknowledged tool to model processes subjected to constraints, in order to  simulate and to control processes in various application fields such as network simulation, chemical kinematics, mechanical engineering, system biology.
DAEs and their more abstract versions in infinite-dimensional spaces comprise a  great potential for future mathematical modeling of complex coupled processes.
The purpose of the book is to expose the impressive complexity of general DAEs from an analytical point of view, to describe the state of the art as well as open problems and so to motivate further research to this versatile, extra-ordinary topic from a broader mathematical perspective.
The book elaborates a new general structural analysis capturing linear and nonlinear DAEs in a hierarchical way. The DAE structure is exposed by means of special projector functions. Numerical integration issues and computational aspects are treated also in this context.

About the authors

Dr. René Lamour, Humbold University of Berlin, Department of Mathematics, Germany

Prof. Dr. Roswitha März, Humbold University of Berlin, Department of Mathematics, Germany

Prof. Dr. Caren Tischendorf, University of Cologne, Mathematical Institute, Germany



Reviews

From the reviews:

“This book is devoted to the projector-based analysis and numerical treatment of differential-algebraic equations (DAEs), which is a research direction established by Roswitha März (Humboldt University, Berlin, Germany) about 30 years ago. … The book presents a rigorous and detailed analytical treatment of DAEs. … This nicely written book is an excellent textbook addressed to graduate students and researchers, who are interested in DAEs. It is also recommendable for people working on various DAE-related industrial applications.” (Vu Hoang Linh, zbMATH, Vol. 1276, 2014)




Table of contents (12 chapters)

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-642-27555-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $149.00
price for USA
  • ISBN 978-3-642-27554-8
  • 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
Differential-Algebraic Equations: A Projector Based Analysis
Authors
Series Title
Differential-Algebraic Equations Forum
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-27555-5
DOI
10.1007/978-3-642-27555-5
Softcover ISBN
978-3-642-27554-8
Series ISSN
2199-7497
Edition Number
1
Number of Pages
XXVII, 649
Number of Illustrations and Tables
5 b/w illustrations, 19 illustrations in colour
Topics