Collective Dynamics from Bacteria to Crowds: An Excursion Through Modeling, Analysis and Simulation
Adrian Muntean, Federico Toschi, "Collective Dynamics from Bacteria to Crowds: An Excursion Through Modeling, Analysis and Simulation"
English | ISBN: 3709117844 | 2014 | 177 pages | PDF | 3 MB
English | ISBN: 3709117844 | 2014 | 177 pages | PDF | 3 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.