Models for Vehicular Traffic on Networks

By Mauro Garavello, Ke Han and Benedetto Piccoli 

This book presents a theory of modeling, analyzing, computing, and optimizing traffic flows on networks. It provides comprehensive and self-contained descriptions and analyses on the widely used conservation law models for dynamic traffic flows on networks.

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Multiscale Modeling of Pedestrian Dynamics


By Emiliano Cristiani, Benedetto Piccoli and Andrea Tosin

This book presents mathematical models and numerical simulations of crowd dynamics. The core topic is the development of a new multiscale paradigm, which bridges the microscopic and macroscopic scales taking the most from each of them for capturing the relevant clues of complexity of crowds.

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Modeling, Simulation, and Optimization of Supply Chains: A Continuous Approach

book coverBy Ciro D’Apice, Simone Göttlich, Michael Herty and Benedetto Piccoli

This book offers a state-of-the-art introduction to the mathematical theory of supply chain networks, focusing on those described by partial differential equations.

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Introduction to the Mathematical Theory of Control

book coverBy Alberto Bressan and Benedetto Piccoli

This book provides an introduction to the mathematical theory of nonlinear control systems.

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Traffic Flow on Networks

book coverBy Mauro Garavello and Benedetto Piccoli

This volume is devoted to macroscopic models for traffic on a network, with possible applications to car traffic, telecommunications and supply chains.

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Optimal Syntheses for Control Systems on 2-D Manifolds

 9783540203063By Ugo Boscain and Benedetto Piccoli

This monograph is the first devoted to optimal syntheses in control theory and focuses on minimum time on 2-D manifolds.

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