Collective Dynamics from Bacteria to Crowds An Excursion Through Modeling, Analysis and Simulation / [electronic resource] :
edited by Adrian Muntean, Federico Toschi.
- 1.
- VII, 177 p. 29 illus. online resource.
- CISM International Centre for Mechanical Sciences, 553 0254-1971 ; .
- CISM International Centre for Mechanical Sciences, 553 .
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.
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.
9783709117859
10.1007/978-3-7091-1785-9 doi
Physics.
Biomathematics.
Statistical physics.
Dynamical systems.
Complexity, Computational.
Physics.
Statistical Physics, Dynamical Systems and Complexity.
Complexity.
Mathematical and Computational Biology.
QC174.7-175.36
621
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.
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.
9783709117859
10.1007/978-3-7091-1785-9 doi
Physics.
Biomathematics.
Statistical physics.
Dynamical systems.
Complexity, Computational.
Physics.
Statistical Physics, Dynamical Systems and Complexity.
Complexity.
Mathematical and Computational Biology.
QC174.7-175.36
621