Collective Dynamics from Bacteria to Crowds: An Excursion Through Modeling, Analysis and Simulation

Author:   Adrian Muntean ,  Federico Toschi
Publisher:   Springer Verlag GmbH
Edition:   2014 ed.
Volume:   553
ISBN:  

9783709117842


Pages:   177
Publication Date:   08 April 2014
Format:   Hardback
Availability:   In Print   Availability explained
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Collective Dynamics from Bacteria to Crowds: An Excursion Through Modeling, Analysis and Simulation


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Overview

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.

Full Product Details

Author:   Adrian Muntean ,  Federico Toschi
Publisher:   Springer Verlag GmbH
Imprint:   Springer Verlag GmbH
Edition:   2014 ed.
Volume:   553
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   0.408kg
ISBN:  

9783709117842


ISBN 10:   3709117844
Pages:   177
Publication Date:   08 April 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of 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.

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