Overview
- Presents macroscopic models for vehicular and pedestrian dynamics
- The described models are simple enough to permit a complete understanding, but rich enough to describe important phenomena typical of urban traffic
- Introduces to more specialized investigations, such as traffic on networks, supply chains, telecommunications, blood flow, phase transitions, fluid dynamics
Part of the book series: Understanding Complex Systems (UCS)
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About this book
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.
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Table of contents (17 chapters)
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Front Matter
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Part I-Mathematical Theory
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Front Matter
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Part II-Models for Vehicular Traffic
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Front Matter
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Part III-Models for Pedestrian Traffic
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Front Matter
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Authors and Affiliations
Bibliographic Information
Book Title: Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications
Book Subtitle: Classical and Non–Classical Advanced Mathematics for Real Life Applications
Authors: Massimiliano Daniele Rosini
Series Title: Understanding Complex Systems
DOI: https://doi.org/10.1007/978-3-319-00155-5
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing Switzerland 2013
Hardcover ISBN: 978-3-319-00154-8Published: 31 May 2013
Softcover ISBN: 978-3-319-03348-8Published: 23 June 2015
eBook ISBN: 978-3-319-00155-5Published: 15 March 2013
Series ISSN: 1860-0832
Series E-ISSN: 1860-0840
Edition Number: 1
Number of Pages: XII, 242
Topics: Complexity, Applications of Nonlinear Dynamics and Chaos Theory