Collective Dynamics from Bacteria to Crowds
An Excursion Through Modeling, Analysis and Simulation
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Beschreibung
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.
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.
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
Autor*in
Adrian Muntean
Themen in »Collective Dynamics from Bacteria to Crowds«
Balance of Measures Microscopic Dynamics Particle Systems Populations Dynamics complexity