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

• Corporate Author: SpringerLink (Online service)
• Other Authors: Muntean, Adrian (Editor), Toschi, Federico (Editor)
• Format: Electronic eBook
• Language: English
• Published: Vienna : Springer Vienna : Imprint: Springer, 2014.
• Edition: 1.
• Series: CISM International Centre for Mechanical Sciences, 553
• Subjects: Physics.; Biomathematics.; Statistical physics.; Dynamical systems.; Complexity, Computational.; Statistical Physics, Dynamical Systems and Complexity.; Complexity.; Mathematical and Computational Biology.
• Physical Description: VII, 177 p. 29 illus. online resource.
• ISBN: 9783709117859
• ISSN: 0254-1971 ;

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.