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Multiscale Modeling of Pedestrian Dynamics

  • Emiliano Cristiani
  • Benedetto Piccoli
  • Andrea Tosin

Part of the MS&A book series (MS&A, volume 12)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Pedestrian Behavior: Phenomenology and Simulations

    1. Front Matter
      Pages 1-1
    2. Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
      Pages 3-27
    3. Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
      Pages 29-52
    4. Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
      Pages 53-69
  3. Modeling and Mathematical Problems

    1. Front Matter
      Pages 71-71
    2. Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
      Pages 73-107
    3. Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
      Pages 109-135
    4. Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
      Pages 137-168
    5. Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
      Pages 169-194
    6. Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
      Pages 195-219
  4. Back Matter
    Pages 221-262

About this book

Introduction

​This book presents mathematical models and numerical simulations of crowd dynamics. The core topic is the development of a new multiscale paradigm, which bridges the microscopic and macroscopic scales taking the most from each of them for capturing the relevant clues of complexity of crowds. The background idea is indeed that most of the complex trends exhibited by crowds are due to an intrinsic interplay between individual and collective behaviors. The modeling approach promoted in this book pursues actively this intuition and profits from it for designing general mathematical structures susceptible of application also in fields different from the inspiring original one. The book considers also the two most traditional points of view: the microscopic one, in which pedestrians are tracked individually, and the macroscopic one, in which pedestrians are assimilated to a continuum. Selected existing models are critically analyzed. The work is addressed to researchers and graduate students.

Keywords

Crowd dynamics Measure theory Multiscale modeling Numerical simulations Qualitative analysis

Authors and affiliations

  • Emiliano Cristiani
    • 1
  • Benedetto Piccoli
    • 2
  • Andrea Tosin
    • 3
  1. 1.Ist. Applicazioni del Calcolo M. PiconeConsiglio Nazionale delle RicercheRomaItaly
  2. 2.Department of Mathematical SciencesRutgers UniversityCamdenUSA
  3. 3.Ist. Applicazioni del Calcolo M. PiconeConsiglio Nazionale delle RicercheRomaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-06620-2
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-06619-6
  • Online ISBN 978-3-319-06620-2
  • Series Print ISSN 2037-5255
  • Series Online ISSN 2037-5263
  • Buy this book on publisher's site