000 | 03931nam a22005295i 4500 | ||
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001 | 978-3-642-32160-3 | ||
003 | DE-He213 | ||
005 | 20190213151909.0 | ||
007 | cr nn 008mamaa | ||
008 | 121213s2013 gw | s |||| 0|eng d | ||
020 |
_a9783642321603 _9978-3-642-32160-3 |
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024 | 7 |
_a10.1007/978-3-642-32160-3 _2doi |
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050 | 4 | _aQA370-380 | |
072 | 7 |
_aPBKJ _2bicssc |
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_aMAT007000 _2bisacsh |
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072 | 7 |
_aPBKJ _2thema |
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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 |
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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 |
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