Understanding Complex Systems

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

Classical and Non–Classical Advanced Mathematics for Real Life Applications

Authors: Rosini, Massimiliano Daniele

  • 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
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eBook $119.00
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  • ISBN 978-3-319-00155-5
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Hardcover $159.00
price for USA
  • ISBN 978-3-319-00154-8
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  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-3-319-03348-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
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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.

Table of contents (17 chapters)

  • Introduction

    Rosini, Massimiliano Daniele

    Pages 1-7

  • Mathematical Preliminaries

    Rosini, Massimiliano Daniele

    Pages 11-21

  • One-Dimensional Scalar Conservation Laws

    Rosini, Massimiliano Daniele

    Pages 23-42

  • The Riemann Problem

    Rosini, Massimiliano Daniele

    Pages 43-50

  • The Cauchy Problem

    Rosini, Massimiliano Daniele

    Pages 51-62

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-3-319-00155-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-3-319-00154-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-3-319-03348-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

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
Series Title
Understanding Complex Systems
Copyright
2013
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-00155-5
DOI
10.1007/978-3-319-00155-5
Hardcover ISBN
978-3-319-00154-8
Softcover ISBN
978-3-319-03348-8
Series ISSN
1860-0832
Edition Number
1
Number of Pages
XII, 242
Topics