Skip to main content
SpringerLink
Log in

Multiscale Modeling of Pedestrian Dynamics

  • Book
  • © 2014

Overview

Authors:
  1. Emiliano Cristiani

    1. Ist. Applicazioni del Calcolo M. Picone, Consiglio Nazionale delle Ricerche, Roma, Italy

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Benedetto Piccoli

    1. Department of Mathematical Sciences, Rutgers University, Camden, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  3. Andrea Tosin

    1. Ist. Applicazioni del Calcolo M. Picone, Consiglio Nazionale delle Ricerche, Roma, Italy

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Promotes a true interplay among modeling, theory and numerics for a cutting-edge multidisciplinary research topic
  • Offers an accurate review of models of crowd dynamics
  • Numerical tests highlight the effects of the interplay between small and large scales on pedestrian dynamics
  • Provides a ready-to-implement pseudo-code version of the multiscale algorithm
  • Includes supplementary material: sn.pub/extras

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. Pedestrian Behavior: Phenomenology and Simulations

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. An Introduction to the Modeling of Crowd Dynamics

      • Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
      Pages 3-27

    3. Problems and Simulations

      • Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
      Pages 29-52

    4. Psychological Insights

      • Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
      Pages 53-69

  3. Modeling and Mathematical Problems

    1. Front Matter

      Pages 71-71
      Download chapter PDF

    2. An Overview of the Modeling of Crowd Dynamics

      • Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
      Pages 73-107

    3. Multiscale Modeling by Time-Evolving Measures

      • Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
      Pages 109-135

    4. Basic Theory of Measure-Based Models

      • Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
      Pages 137-168

    5. Evolution in Measure Spaces with Wasserstein Distance

      • Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
      Pages 169-194

    6. Generalizations of the Multiscale Approach

      • Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
      Pages 195-219

  4. Back Matter

    Pages 221-262
    Download chapter PDF
Back to top

Keywords

About this book

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.

Reviews

“The book is very well-written and contains many excellent illustrations. It is both a valuable introduction to the modeling of pedestrian dynamics and to the methods of multiscale modeling.” (Martin Gugat, zbMATH 1314.00081, 2015)

Authors and Affiliations

  • Ist. Applicazioni del Calcolo M. Picone, Consiglio Nazionale delle Ricerche, Roma, Italy

    Emiliano Cristiani, Andrea Tosin

  • Department of Mathematical Sciences, Rutgers University, Camden, USA

    Benedetto Piccoli

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation