Multiscale Modeling of Pedestrian Dynamics
1st Edition
Published on 12. September 2014
XVI, 262 pages
978-3-319-06620-2 (ISBN)
Description
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 / Votes
"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)
More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
XVI, 260 p. 62 illus., 45 illus. in color.
File size
6,04 MB
ISBN-13
978-3-319-06620-2 (9783319066202)
DOI
10.1007/978-3-319-06620-2
Schweitzer Classification
Other editions
Additional editions
Emiliano Cristiani | Benedetto Piccoli | Andrea Tosin
Multiscale Modeling of Pedestrian Dynamics
Book
09/2014
Springer
€53.49
Shipment within 10-15 days
Content
1 An Introduction to the Modeling of Crowd Dynamics.- 2 Problems and Simulations.- 3 Psychological Insights.- 4 An Overview of the Modeling of Crowd Dynamics.- 5 Multiscale Modeling by Time-Evolving Measures.- 6 Basic Theory of Measure-Based Models.- 7 Evolution in Measure Spaces with Wasserstein Distance.- 8 Generalizations of the Multiscale Approach.- 9 Appendices: A Basics of Measure and Probability Theory; B Pseudo-Code for the Multiscale Algorithm.
