Multiscale Modeling of Pedestrian Dynamics

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...

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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Cristiani, Emiliano (Auteur), Piccoli, Benedetto (Auteur), Tosin, Andrea (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Cham : Springer International Publishing : Imprint: Springer, 2014.
Édition:1st ed. 2014.
Collection:MS&A, Modeling, Simulation and Applications, 12
Sujets:
Differential equations.
System theory.
Mathematical physics.
Mathematical models.
Game theory.
Mathematics.
Differential Equations.
Complex Systems.
Mathematical Physics.
Mathematical Modeling and Industrial Mathematics.
Game Theory.
Applications of Mathematics.
Accès en ligne:Texto Completo
Table des matières:
  • 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.

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