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

2014-03-18 | ISBN: 3709117844 | PDF | 177 Pages | 2.79 MB

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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