Modelling and Optimisation of Flows on Networks
Springer Berlin (Verlag)
978-3-642-32159-7 (ISBN)
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.
Dirk Helbing, ETH Zürich Chair of Sociology Dept., Theoretical physicist, Worldwide leading scientist in computational social sciences and econophysics/complexity research.
A 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
Erscheint lt. Verlag | 14.12.2012 |
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Reihe/Serie | C.I.M.E. Foundation Subseries | Lecture Notes in Mathematics |
Mitarbeit |
Anpassung von: Benedetto Piccoli, Michel Rascle |
Zusatzinfo | XIV, 497 p. 141 illus., 32 illus. in color. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 765 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
Schlagworte | 35R02, 35L65, 90B20 • Analysis • optimal transport • Partial differential equations • Traffic Flow • Vehicular traffic |
ISBN-10 | 3-642-32159-3 / 3642321593 |
ISBN-13 | 978-3-642-32159-7 / 9783642321597 |
Zustand | Neuware |
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