LEADER 04556nam 22006975 450 001 996466481203316 005 20200702022424.0 010 $a3-642-32160-7 024 7 $a10.1007/978-3-642-32160-3 035 $a(CKB)3400000000102755 035 $a(SSID)ssj0000880041 035 $a(PQKBManifestationID)11546667 035 $a(PQKBTitleCode)TC0000880041 035 $a(PQKBWorkID)10853712 035 $a(PQKB)11035055 035 $a(DE-He213)978-3-642-32160-3 035 $a(MiAaPQ)EBC3070969 035 $a(PPN)168321122 035 $a(EXLCZ)993400000000102755 100 $a20121213d2013 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aModelling and Optimisation of Flows on Networks$b[electronic resource] $eCetraro, Italy 2009, Editors: Benedetto Piccoli, Michel Rascle /$fby Luigi Ambrosio, Alberto Bressan, Dirk Helbing, Axel Klar, Enrique Zuazua 205 $a1st ed. 2013. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2013. 215 $a1 online resource (XIV, 497 p. 141 illus., 32 illus. in color.) 225 1 $aC.I.M.E. Foundation Subseries ;$v2062 300 $a"The present volume collects notes from lectures delivered for the CIME course on Modelling and optimisation of flows on networks, held in Cetraro in the summer of 2009."--P. vii. 311 $a3-642-32159-3 320 $aIncludes bibliographical references. 327 $aA User?s Guide to Optimal Transport -- Hyperbolic Conservation Laws: an Illustrated Tutorial -- Derivation of Non-Local Macroscopic Traffic Equations and Consistent Traffic Pressures from Microscopic Car-Following Models -- On the Controversy around Daganzo?s Requiem for and Aw-Rascle?s Resurrection of Second-Order Traffic Flow Models -- Theoretical vs. Empirical Classification and Prediction of Congested Traffic States -- Self-Organized Network Flows -- Operation Regimes and Slower-is-Faster-Effect in the Control of Traffic Intersections -- Modeling and Optimization of Scalar Flows on Networks -- The Wave Equation: Control and Numerics. 330 $aIn recent years flows in networks have attracted the interest of many researchers from different areas, e.g. applied mathematicians, engineers, physicists, economists. The main reason for this ubiquity is the wide and diverse range of applications, such as vehicular traffic, supply chains, blood flow, irrigation channels, data networks and others. This book presents an extensive set of notes by world leaders on the main mathematical techniques used to address such problems, together with investigations into specific applications. The main focus is on partial differential equations in networks, but ordinary differential equations and optimal transport are also included. Moreover, the modeling is completed by analysis, numerics, control and optimization of flows in networks. The book will be a valuable resource for every researcher or student interested in the subject. 410 0$aC.I.M.E. Foundation Subseries ;$v2062 606 $aPartial differential equations 606 $aMathematical models 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 615 0$aPartial differential equations. 615 0$aMathematical models. 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 14$aPartial Differential Equations. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aAnalysis. 676 $a515.353 700 $aAmbrosio$b Luigi$4aut$4http://id.loc.gov/vocabulary/relators/aut$044009 702 $aBressan$b Alberto$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aHelbing$b Dirk$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aKlar$b Axel$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aZuazua$b Enrique$4aut$4http://id.loc.gov/vocabulary/relators/aut 712 12$aC.I.M.E. Summer School$f(2009 :$eCetraro, Italy) 906 $aBOOK 912 $a996466481203316 996 $aModelling and optimisation of flows on networks$9258684 997 $aUNISA