Differential-Algebraic Equations: A Projector Based Analysis

Lamour, René

ISBN 10: 3642275540 / ISBN 13: 9783642275548

Published by Springer Spektrum, 2013

About this Item

Zustand: Sehr gut | Seiten: 680 | Sprache: Englisch | Produktart: Bücher | 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.

Seller Inventory # 12335280/12

Bibliographic Details

• Title: Differential-Algebraic Equations: A Projector Based Analysis
• Publisher: Springer Spektrum
• Publication Date: 2013
• Language: English
• ISBN 10: 3642275540
• ISBN 13: 9783642275548
• Binding: Soft cover
• Condition: Sehr gut
• Seller catalogs:
  • Bücher

About this title

Synopsis

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 Author

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