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Collective Dynamics from Bacteria to Crowds

An Excursion Through Modeling, Analysis and Simulation

Gebonden Engels 2014 2014e druk 9783709117842
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

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.

Specificaties

ISBN13:9783709117842
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:177
Uitgever:Springer Vienna
Druk:2014

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Inhoudsopgave

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.

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        Collective Dynamics from Bacteria to Crowds