
Differential-Algebraic Equations: A Projector Based Analysis
Description
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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.
Reviews / Votes
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)More details
Other editions
Additional editions

Persons
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
Content
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