Logo - springer
Slogan - springer

Mathematics - Dynamical Systems & Differential Equations | Differential-Algebraic Equations: A Projector Based Analysis

Differential-Algebraic Equations: A Projector Based Analysis

Lamour, René, März, Roswitha, Tischendorf, Caren

2013, XXVII, 649 p. 24 illus., 19 illus. in color.

Available Formats:

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.


(net) price for USA

ISBN 978-3-642-27555-5

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase

learn more about Springer eBooks

add to marked items


Softcover (also known as softback) version.

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.


(net) price for USA

ISBN 978-3-642-27554-8

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days

add to marked items

  • 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)
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 certain constraints in order to simulate and to control processes in various application fields such as network simulation, chemical kinematics, mechanical engineering and systems biology.
DAEs and their more abstract versions in infinite dimensional spaces comprise a great potential for the 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 in so doing to motivate further research of this versatile, extraordinary topic from a broader mathematical perspective.
The book elaborates on 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. Some issues on numerical integration and computational aspects are also treated in this context.

Content Level » Upper undergraduate

Keywords » Abstract Differential-Algebraic Equations - Applied Analysis - Descriptor Systems - Differential-Algebraic Equations - Ordinary Differential Equiations

Related subjects » Applications - Computational Science & Engineering - Dynamical Systems & Differential Equations

Table of contents / Preface / Sample pages 

Popular Content within this publication 



Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Ordinary Differential Equations.