03830nam 22007335 450 991029973220332120251116211500.03-7091-1785-210.1007/978-3-7091-1785-9(CKB)2670000000548011(EBL)1698011(OCoLC)881165994(SSID)ssj0001186850(PQKBManifestationID)11700642(PQKBTitleCode)TC0001186850(PQKBWorkID)11241645(PQKB)11537170(MiAaPQ)EBC1698011(DE-He213)978-3-7091-1785-9(PPN)177825510(EXLCZ)99267000000054801120140318d2014 u| 0engur|n|---|||||txtccrCollective dynamics from bacteria to crowds an excursion through modeling, analysis and simulation /edited by Adrian Muntean, Federico Toschi1st ed. 2014.Vienna :Springer Vienna :Imprint: Springer,2014.1 online resource (182 p.)CISM International Centre for Mechanical Sciences, Courses and Lectures,0254-1971 ;553Description based upon print version of record.3-7091-1784-4 Includes bibliographical references at the end of each chapters.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.CISM International Centre for Mechanical Sciences, Courses and Lectures,0254-1971 ;553Statistical physicsDynamicsComputational complexityBiomathematicsComplex Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P33000Complexityhttps://scigraph.springernature.com/ontologies/product-market-codes/T11022Mathematical and Computational Biologyhttps://scigraph.springernature.com/ontologies/product-market-codes/M31000Statistical Physics and Dynamical Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P19090Statistical physics.Dynamics.Computational complexity.Biomathematics.Complex Systems.Complexity.Mathematical and Computational Biology.Statistical Physics and Dynamical Systems.531Muntean Adrianedthttp://id.loc.gov/vocabulary/relators/edtToschi Federicoedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910299732203321Collective Dynamics from Bacteria to Crowds2199693UNINA