Multiscale Modeling of Pedestrian Dynamics

Nonfiction, Science & Nature, Mathematics, Differential Equations, Applied
Cover of the book Multiscale Modeling of Pedestrian Dynamics by Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin, Springer International Publishing
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Author: Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin ISBN: 9783319066202
Publisher: Springer International Publishing Publication: September 12, 2014
Imprint: Springer Language: English
Author: Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
ISBN: 9783319066202
Publisher: Springer International Publishing
Publication: September 12, 2014
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

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