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020 _a9783642321603
_9978-3-642-32160-3
024 7 _a10.1007/978-3-642-32160-3
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
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072 7 _aPBKJ
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082 0 4 _a515.353
_223
100 1 _aAmbrosio, Luigi.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aModelling and Optimisation of Flows on Networks
_h[electronic resource] :
_bCetraro, Italy 2009, Editors: Benedetto Piccoli, Michel Rascle /
_cby Luigi Ambrosio, Alberto Bressan, Dirk Helbing, Axel Klar, Enrique Zuazua.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2013.
300 _aXIV, 497 p. 141 illus., 32 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aC.I.M.E. Foundation Subseries ;
_v2062
505 0 _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.
520 _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.
650 0 _aDifferential equations, partial.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
650 2 4 _aMathematical Modeling and Industrial Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M14068
650 2 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
700 1 _aBressan, Alberto.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aHelbing, Dirk.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aKlar, Axel.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aZuazua, Enrique.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642321597
776 0 8 _iPrinted edition:
_z9783642321610
830 0 _aC.I.M.E. Foundation Subseries ;
_v2062
856 4 0 _uhttps://doi.org/10.1007/978-3-642-32160-3
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c12261
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