000			03580nam a22005415i 4500
001			978-3-642-32160-3
003			DE-He213
005			20160624101838.0
007			cr nn 008mamaa
008			121213s2013 gw | s |||| 0|eng d
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 _2bisacsh
082	0	4	_a515.353 _223
100	1		_aAmbrosio, Luigi. _eauthor.
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.
260		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2013.
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		_aLecture Notes in Mathematics, _x0075-8434 ; _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	_aMathematics.
650		0	_aGlobal analysis (Mathematics).
650		0	_aDifferential equations, partial.
650	1	4	_aMathematics.
650	2	4	_aPartial Differential Equations.
650	2	4	_aMathematical Modeling and Industrial Mathematics.
650	2	4	_aAnalysis.
700	1		_aBressan, Alberto. _eauthor.
700	1		_aHelbing, Dirk. _eauthor.
700	1		_aKlar, Axel. _eauthor.
700	1		_aZuazua, Enrique. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642321597
786			_dSpringer
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v2062
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-642-32160-3
942			_2EBK2006 _cEBK
999			_c31300 _d31300