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Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications

von Massimiliano Daniele Rosini
Hardcover - 9783319001548
106,99 €
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Softcover - 9783319033488
129,98 €

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Weitere Formate

Softcover - 9783319033488
129,98 €

Beschreibung

This monograph presents a systematic treatment of the theory for hyperbolic conservation laws and their applications to vehicular traffics and crowd dynamics. In the first part of the book, the author presents very basic considerations and gradually introduces the mathematical tools necessary to describe and understand the mathematical models developed in the following parts focusing on vehicular and pedestrian traffic. The book is a self-contained valuable resource for advanced courses in mathematical modeling, physics and civil engineering. A number of examples and figures facilitate a better understanding of the underlying concepts and motivations for the students. Important new techniques are presented, in particular the wave front tracking algorithm, the operator splitting approach, the non-classical theory of conservation laws and the constrained problems. This book is the first to present a comprehensive account of these fundamental new mathematical advances.

Classical and Non–Classical Advanced Mathematics for Real Life Applications

Classical and Non–Classical Advanced Mathematics for Real Life Applications

Details

Verlag Springer International Publishing
Ersterscheinung 31. Mai 2013
Maße 23.5 cm x 15.5 cm
Gewicht 553 Gramm
Format Hardcover
ISBN-13 9783319001548
Auflage 2013
Seiten 242