| Differential-Algebraic Equations: A Projector Based Analysis 2013 Edition Contributor(s): Lamour, Rene (Author), Marz, Roswitha (Author), Tischendorf, Caren (Author) |
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ISBN: 3642275540 ISBN-13: 9783642275548 Publisher: Springer OUR PRICE: $104.49 Product Type: Paperback Published: January 2013 |
| Additional Information |
| BISAC Categories: - Mathematics | Applied - Mathematics | Counting & Numeration - Mathematics | Differential Equations - General |
| Dewey: 515.352 |
| Series: Differential-Algebraic Equations Forum |
| Physical Information: 1.5" H x 6.1" W x 9.1" (2.05 lbs) 649 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |
