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

Classical and Non–Classical Advanced Mathematics for Real Life Applications

  • Massimiliano Daniele Rosini

Part of the Understanding Complex Systems book series (UCS)

Table of contents

  1. Front Matter
    Pages 1-10
  2. Massimiliano Daniele Rosini
    Pages 1-7
  3. Part I-Mathematical Theory

    1. Front Matter
      Pages 9-9
    2. Massimiliano Daniele Rosini
      Pages 11-21
    3. Massimiliano Daniele Rosini
      Pages 23-42
    4. Massimiliano Daniele Rosini
      Pages 43-50
    5. Massimiliano Daniele Rosini
      Pages 51-62
    6. Massimiliano Daniele Rosini
      Pages 63-91
    7. Massimiliano Daniele Rosini
      Pages 93-110
    8. Massimiliano Daniele Rosini
      Pages 111-120
  4. Part II-Models for Vehicular Traffic

    1. Front Matter
      Pages 121-121
    2. Massimiliano Daniele Rosini
      Pages 123-138
    3. Massimiliano Daniele Rosini
      Pages 139-148
    4. Massimiliano Daniele Rosini
      Pages 149-160
    5. Massimiliano Daniele Rosini
      Pages 161-166
    6. Massimiliano Daniele Rosini
      Pages 167-173
    7. Massimiliano Daniele Rosini
      Pages 175-190
  5. Part III-Models for Pedestrian Traffic

    1. Front Matter
      Pages 191-191
    2. Massimiliano Daniele Rosini
      Pages 193-201
    3. Massimiliano Daniele Rosini
      Pages 203-226
    4. Massimiliano Daniele Rosini
      Pages 227-237
  6. Back Matter
    Pages 239-242

About this book

Introduction

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.

 

Keywords

Air Shower Atmospheric Muons and Neutrinos Cosmic Accelerators Cosmic Rays Diffusive Shock Mechanism Gamma Astrophysics Neutrino Astronomy Neutrino Astrophysics Particle Astrophysics Particle Shower Solar Neutrinos

Authors and affiliations

  • Massimiliano Daniele Rosini
    • 1
  1. 1., ICMUniversity of WarsawWarsawPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-00155-5
  • Copyright Information Springer International Publishing Switzerland 2013
  • Publisher Name Springer, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-00154-8
  • Online ISBN 978-3-319-00155-5
  • Series Print ISSN 1860-0832
  • Series Online ISSN 1860-0840
  • Buy this book on publisher's site
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