Description
Collective Dynamics from Bacteria to Crowds, 2014
An Excursion Through Modeling, Analysis and Simulation
CISM International Centre for Mechanical Sciences Series, Vol. 553
Coordinators: Muntean Adrian, Toschi Federico
Language: EnglishSubjects for Collective Dynamics from Bacteria to Crowds:
Publication date: 04-2014
177 p. · 15.5x23.5 cm · Hardback
177 p. · 15.5x23.5 cm · Hardback
Description
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Multiscale models in social applications combine mean-field and kinetic equations with either microscopic or macroscopic level descriptions. In this book the reader will find not only a wide spectrum of multiscale analysis results (like convergence proofs), but also practically important information such as derivations of mean-field equations, methods to handle hard contacts numerically, to model group behavior, to quantitative estimate microscopic/macroscopic segregation of competing species, to quantitative understand the limits of validity of mass-action kinetics for simple reactions.
The derivation of swarming models: mean-field limit and Wasserstein distances.- Non-smooth evolution models in crowd dynamics: mathematical and numerical issues.- Pedestrians moving in the dark: balancing measures and playing games on lattices.- Stochastic competition between two populations in space.- Discrete and continuum dynamics of reacting and interacting individuals.- Multiscale crowd dynamics: modeling and theory.
A wide spectrum of multiscale analysis results (like convergence proofs) can be found in this book
Presents practically important information such as derivations of mean-field equations, methods to handle hard contacts numerically, to model group behavior
Multidisciplinary approach
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