Multiscale Modeling of Pedestrian Dynamics

Beschreibung

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.
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

Autor*in

Emiliano Cristiani

Themen in »Multiscale Modeling of Pedestrian Dynamics«

Crowd dynamics Measure theory Multiscale modeling Numerical simulations Qualitative analysis partial differential equations

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“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)

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