Multiscale Modeling of Pedestrian Dynamics

• Κύριοι συγγραφείς: Cristiani, Emiliano (Συγγραφέας), Piccoli, Benedetto (Συγγραφέας), Tosin, Andrea (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Σειρά: MS&A, Modeling, Simulation and Applications, 12
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.