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Differential-algebraic equations : a projector based analysis

Author: René Lamour; Roswitha März; Caren Tischendorf
Publisher: Berlin ; New York : Springer, ©2013.
Series: Differential-algebraic equations forum.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: René Lamour; Roswitha März; Caren Tischendorf
ISBN: 9783642275555 3642275559
OCLC Number: 826126664
Description: 1 online resource.
Contents: Projector based approach --
Linear constant coefficient DAEs --
Linear DAEs with variable coefficients --
Nonlinear DAEs --
Index-1 DAEs: Analysis and numerical treatment --
Analysis --
Numerical integration --
Stability issues --
Computational aspects --
Computational linear algebra aspects --
Aspects of the numerical treatment of higher index DAEs --
Advanced topics --
Quasi-regular DAEs --
Nonregular DAEs --
Minimization with constraints described by DAEs --
Abstract differential-algebraic equations.
Series Title: Differential-algebraic equations forum.
Responsibility: René Lamour, Roswitha März, Caren Tischendorf.
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Abstract:

This book analyzes the impressive complexity of Differential algebraic equations (DAEs), to describe the state of the art and to examine open problems, thus to motivate further research on this  Read more...

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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 Marz Read more...

 
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