| Description |
1 online resource |
| Series |
Lecture notes in mathematics, 0075-8434 ; 2062 |
|
Lecture notes in mathematics (Springer-Verlag) ; 2062.
|
| Contents |
A User's Guide to Optimal Transport / Luigi Ambrosio, Nicola Gigli -- Hyperbolic Conservation Laws: An Illustrated Tutorial / Alberto Bressan -- Derivation of Non-local Macroscopic Traffic Equations and Consistent Traffic Pressures from Microscopic Car-Following Models / Dirk Helbing -- On the Controversy Around Daganzo's Requiem for and Aw-Rascle's Resurrection of Second-Order Traffic Flow Models / Dirk Helbing, Anders Johansson -- Theoretical vs. Empirical Classification and Prediction of Congested Traffic States / Dirk Helbing, Martin Treiber, Arne Kesting -- Self-Organized Network Flows / Dirk Helbing, Jan Siegmeier, Stefan Lämmer -- Operation Regimes and Slower-is-Faster-Effect in the Control of Traffic Intersections / Dirk Helbing, Amin Mazloumian -- Modeling and Optimization of Scalar Flows on Networks / Simone Göttlich, Axel Klar -- Control and Stabilization of Waves on 1-d Networks / Enrique Zuazua |
| Summary |
In 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 |
| Analysis |
Mathematics |
|
Global analysis (Mathematics) |
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Partial Differential Equations |
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Mathematical Modeling and Industrial Mathematics |
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Analysis |
| Bibliography |
Includes bibliographical references |
| Subject |
System analysis -- Congresses
|
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Differential equations, Partial -- Congresses
|
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Ecuaciones en derivadas parciales -- Congresos
|
|
Differential equations, Partial
|
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System analysis
|
| Genre/Form |
proceedings (reports)
|
|
Conference papers and proceedings
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Conference papers and proceedings.
|
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Actes de congrès.
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| Form |
Electronic book
|
| Author |
Piccoli, Benedetto, 1968-
|
|
Rascle, M., 1947-
|
|
Ambrosio, Luigi.
|
| ISBN |
9783642321603 |
|
3642321607 |
|
3642321593 |
|
9783642321597 |
|
