Buch, Englisch, Band 553, 177 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 408 g
An Excursion Through Modeling, Analysis and Simulation
Buch, Englisch, Band 553, 177 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 408 g
Reihe: CISM International Centre for Mechanical Sciences
ISBN: 978-3-7091-1784-2
Verlag: Springer
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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Research
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Weitere Infos & Material
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.