Multiscale Modeling of Pedestrian Dynamics - hardcover

EAN (ISBN-13): 9783319066196
ISBN (ISBN-10): 3319066196
Hardcover
Publishing year: 2014
Publisher: Springer International Publishing

Book in our database since 2014-10-10T06:00:08+01:00 (London)
Detail page last modified on 2023-11-29T13:26:38+00:00 (London)
ISBN/EAN: 9783319066196

ISBN - alternate spelling:
3-319-06619-6, 978-3-319-06619-6
Alternate spelling and related search-keywords:
Book author: tos, tosi, benedetto, picco, piccoli, cristiani
Book title: dynamics, benedetto

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Information from Publisher

Author: Emiliano Cristiani; Benedetto Piccoli; Andrea Tosin
Title: MS&A; Multiscale Modeling of Pedestrian Dynamics
Publisher: Springer; Springer International Publishing
262 Pages
Publishing year: 2014-09-25
Cham; CH
Printed / Made in
Language: English
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
POD
XVI, 262 p. 62 illus., 45 illus. in color.

BB; Hardcover, Softcover / Mathematik/Analysis; Differentialrechnung und -gleichungen; Verstehen; Crowd dynamics; Measure theory; Multiscale modeling; Numerical simulations; Qualitative analysis; partial differential equations; Differential Equations; Complex Systems; Mathematical Physics; Mathematical Modeling and Industrial Mathematics; Game Theory; Applications of Mathematics; Kybernetik und Systemtheorie; Mathematische Physik; Mathematische Modellierung; Mathematik für Ingenieure; Spieltheorie; Angewandte Mathematik; EA; BC

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.
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