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010   $a3-319-06620-X
024 7 $a10.1007/978-3-319-06620-2
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035   $a(EBL)1968305
035   $a(OCoLC)890809731
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035   $a(PQKBTitleCode)TC0001354217
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035   $a(DE-He213)978-3-319-06620-2
035   $a(PPN)181354403
035   $a(EXLCZ)993710000000239384
100   $a20140912d2014      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aMultiscale Modeling of Pedestrian Dynamics /$fby Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (271 p.)
225 1 $aMS&A, Modeling, Simulation and Applications,$x2037-5255 ;$v12
300   $aDescription based upon print version of record.
311   $a3-319-06619-6 
320   $aIncludes bibliographical references and index.
327   $a1 An Introduction to the Modeling of Crowd Dynamics -- 2 Problems and Simulations -- 3 Psychological Insights -- 4 An Overview of the Modeling of Crowd Dynamics -- 5 Multiscale Modeling by Time-Evolving Measures -- 6 Basic Theory of Measure-Based Models -- 7 Evolution in Measure Spaces with Wasserstein Distance -- 8 Generalizations of the Multiscale Approach -- 9 Appendices: A Basics of Measure and Probability Theory; B Pseudo-Code for the Multiscale Algorithm.
330   $aThis book presents mathematical models and numerical simulations of crowd dynamics. The core topic is the development of a new multiscale paradigm, which bridges the microscopic and macroscopic scales taking the most from each of them for capturing the relevant clues of complexity of crowds. The background idea is indeed that most of the complex trends exhibited by crowds are due to an intrinsic interplay between individual and collective behaviors. The modeling approach promoted in this book pursues actively this intuition and profits from it for designing general mathematical structures susceptible of application also in fields different from the inspiring original one. The book considers also the two most traditional points of view: the microscopic one, in which pedestrians are tracked individually, and the macroscopic one, in which pedestrians are assimilated to a continuum. Selected existing models are critically analyzed. The work is addressed to researchers and graduate students.
410  0$aMS&A, Modeling, Simulation and Applications,$x2037-5255 ;$v12
606   $aPartial differential equations
606   $aSystem theory
606   $aMathematical physics
606   $aMathematical models
606   $aGame theory
606   $aApplied mathematics
606   $aEngineering mathematics
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/M13090
606   $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120
606   $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068
606   $aGame Theory, Economics, Social and Behav. Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13011
606   $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003
615  0$aPartial differential equations.
615  0$aSystem theory.
615  0$aMathematical physics.
615  0$aMathematical models.
615  0$aGame theory.
615  0$aApplied mathematics.
615  0$aEngineering mathematics.
615 14$aPartial Differential Equations.
615 24$aComplex Systems.
615 24$aMathematical Applications in the Physical Sciences.
615 24$aMathematical Modeling and Industrial Mathematics.
615 24$aGame Theory, Economics, Social and Behav. Sciences.
615 24$aApplications of Mathematics.
676   $a388.41
700   $aCristiani$b Emiliano$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721782
702   $aPiccoli$b Benedetto$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aTosin$b Andrea$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299980003321
996   $aMultiscale Modeling of Pedestrian Dynamics$92536885
997   $aUNINA