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Physics - Complexity | Collective Dynamics from Bacteria to Crowds - An Excursion Through Modeling, Analysis and Simulation

Collective Dynamics from Bacteria to Crowds

An Excursion Through Modeling, Analysis and Simulation

Muntean, Adrian, Toschi, Federico (Eds.)

2014, VII, 177 p. 29 illus.

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  • 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

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.

Content Level » Research

Keywords » Balance of Measures - Microscopic Dynamics - Particle Systems - Populations Dynamics

Related subjects » Complexity

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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