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Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications

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Cover of 'Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Mathematical Preliminaries
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    Chapter 3 One-Dimensional Scalar Conservation Laws
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    Chapter 4 The Riemann Problem
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    Chapter 5 The Cauchy Problem
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    Chapter 6 The Initial-Boundary Value Problem and the Constraint
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    Chapter 7 One-Dimensional Systems of Conservation Laws
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    Chapter 8 One-Dimensional Systems of Balance Laws (Weakly Coupled)
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    Chapter 9 Vehicular Traffic
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    Chapter 10 Equilibrium Traffic Models
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    Chapter 11 Generalizations of Equilibrium Traffic Models
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    Chapter 12 Cost Functionals
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    Chapter 13 Numerical Applications
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    Chapter 14 Non-equilibrium Traffic Models
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    Chapter 15 General Concepts
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    Chapter 16 The CR Model
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    Chapter 17 Applications
Attention for Chapter 6: The Initial-Boundary Value Problem and the Constraint
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