Modelling and Optimisation of Flows on Networks [electronic resource] :Cetraro, Italy 2009, Editors: Benedetto Piccoli, Michel Rascle / by Luigi Ambrosio, Alberto Bressan, Dirk Helbing, Axel Klar, Enrique Zuazua.
by Ambrosio, Luigi [author.]; Bressan, Alberto [author.]; Helbing, Dirk [author.]; Klar, Axel [author.]; Zuazua, Enrique [author.]; SpringerLink (Online service).
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BookSeries: Lecture Notes in Mathematics: 2062Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : 2013.Description: XIV, 497 p. 141 illus., 32 illus. in color. online resource.ISBN: 9783642321603.Subject(s): Mathematics | Global analysis (Mathematics) | Differential equations, partial | Mathematics | Partial Differential Equations | Mathematical Modeling and Industrial Mathematics | AnalysisDDC classification: 515.353 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
| MAIN LIBRARY | QA370-380 (Browse shelf) | Available |
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| TJ212-225 Stability Analysis and Design for Nonlinear Singular Systems | QA75.5-76.95 Similarity Search and Applications | QA273.A1-274.9 Stochastic Biomathematical Models | QA370-380 Modelling and Optimisation of Flows on Networks | QC770-798 Introduction to Polarization Physics | TK7800-8360 Advancement in Sensing Technology | R856-857 4th International Conference on Biomedical Engineering in Vietnam |
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.
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.
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