Multiscale Modeling of Pedestrian Dynamics

• Main Authors: Cristiani, Emiliano (Author), Piccoli, Benedetto (Author), Tosin, Andrea (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: MS&A, Modeling, Simulation and Applications, 12
• Subjects: Mathematics.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Game theory.; System theory.; Mathematical physics.; Mathematical models.; Partial Differential Equations.; Complex Systems.; Mathematical Applications in the Physical Sciences.; Mathematical Modeling and Industrial Mathematics.; Game Theory, Economics, Social and Behav. Sciences.; Applications of Mathematics.

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 bac...

Table of Contents:

• 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.