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Collective Dynamics from Bacteria to Crowds [electronic resource] : An Excursion Through Modeling, Analysis and Simulation / edited by Adrian Muntean, Federico Toschi.

Contributor(s): Muntean, Adrian [editor.] | Toschi, Federico [editor.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: CISM International Centre for Mechanical Sciences: 553Publisher: Vienna : Springer Vienna : Imprint: Springer, 2014Edition: 1.Description: VII, 177 p. 29 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783709117859.Subject(s): Physics | Biomathematics | Statistical physics | Dynamical systems | Complexity, Computational | Physics | Statistical Physics, Dynamical Systems and Complexity | Complexity | Mathematical and Computational BiologyAdditional physical formats: Printed edition:: No titleDDC classification: 621 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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.
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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.

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.

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