Collective Dynamics from Bacteria to Crowds An Excursion Through Modeling, Analysis and Simulation /
| Otros autores o Colaboradores: | , |
|---|---|
| Formato: | Libro |
| Lengua: | inglés |
| Datos de publicación: |
Vienna :
Springer Vienna : Imprint: Springer,
2014.
|
| Edición: | 1. |
| Series: | CISM International Centre for Mechanical Sciences,
553 |
| Temas: | |
| Acceso en línea: | http://dx.doi.org/10.1007/978-3-7091-1785-9 |
| Resumen: | 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. |
| Descripción Física: | vii, 177 p. : il. |
| ISBN: | 9783709117859 |
| ISSN: | 0254-1971 ; |
| DOI: | 10.1007/978-3-7091-1785-9 |
Tabla de Contenidos:
- 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.