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Differential-Algebraic Equations: A Projector Based Analysis (Differential-Algebraic Equations Forum) - Softcover
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.
"synopsis" may belong to another edition of this title.
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
Review
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)"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2013
- ISBN 10 3642275540
- ISBN 13 9783642275548
- BindingPaperback
- LanguageEnglish
- Number of pages676
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Differential-Algebraic Equations: A Projector Based Analysis (Differential-Algebraic Equations Forum)
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Differential-Algebraic Equations: A Projector Based Analysis (Paperback)
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ISBN 10: 3642275540
ISBN 13: 9783642275548
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Paperback. Condition: new. Paperback. 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. 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 versatile topic from a broader mathematical perspective. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783642275548
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Differential-Algebraic Equations: A Projector Based Analysis
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Differential-Algebraic Equations: A Projector Based Analysis
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 680 pp. Englisch. Seller Inventory # 9783642275548
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Differential-Algebraic Equations: A Projector Based Analysis
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 # 9783642275548
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Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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. Seller Inventory # 5055315
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