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Collective Dynamics from Bacteria to Crowds An Excursion Through Modeling, Analysis and Simulation
Başlık:
Collective Dynamics from Bacteria to Crowds An Excursion Through Modeling, Analysis and Simulation
Yazar:
Muntean, Adrian. editor.
ISBN:
9783709117859
Edisyon:
1.
Fiziksel Niteleme:
VII, 177 p. 29 illus. online resource.
Seri:
CISM International Centre for Mechanical Sciences, 553
İçindekiler:
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.
Özet:
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.
Ek Kurum Yazar:
Elektronik Erişim:
http://dx.doi.org/10.1007/978-3-7091-1785-9