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Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models

  • Conference proceedings
  • © 2021

Overview

Editors:
  1. Gabriella Puppo

    1. Department of Mathematics, Sapienza University of Rome, Roma, Italy

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  2. Andrea Tosin

    1. Department of Mathematical Sciences “G. L. Lagrange”, Politecnico di Torino, Torino, Italy

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    You can also search for this editor in PubMed   Google Scholar

  • Mathematical methods and models of vehicular traffic at the three representative scales in a unique book
  • Frontier research topics in the mathematical modelling of vehicular traffic, including vehicle automation and data integration, addressed in various chapters under different points of view
  • Up-to-date representation of the most advanced research topics in the mathematical modelling of vehicular traffic

Part of the book series: SEMA SIMAI Springer Series (SEMA SIMAI, volume 12)

Part of the book sub series: ICIAM 2019 SEMA SIMAI Springer Series (ICIAM2019SSSS)

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Table of contents (5 papers)

  1. Front Matter

    Pages i-xii
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  2. Reconstruction of Traffic Speed Distributions from Kinetic Models with Uncertainties

    • Michael Herty, Andrea Tosin, Giuseppe Visconti, Mattia Zanella
    Pages 1-16

  3. From Kinetic to Macroscopic Models and Back

    • Michael Herty, Gabriella Puppo, Giuseppe Visconti
    Pages 17-34

  4. Structural Properties of the Stability of Jamitons

    • Rabie Ramadan, Rodolfo Ruben Rosales, Benjamin Seibold
    Pages 35-62

  5. Stop-and-Go Waves: A Microscopic and a Macroscopic Description

    • Caterina Balzotti, Elisa Iacomini
    Pages 63-78

  6. An Overview of Non-local Traffic Flow Models

    • Felisia Angela Chiarello
    Pages 79-91
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Keywords

About this book

The book originates from the mini-symposium "Mathematical descriptions of traffic flow: micro, macro and kinetic models" organised by the editors within the ICIAM 2019 Congress held in Valencia, Spain, in July 2019. The book is composed of five chapters, which address new research lines in the mathematical modelling of vehicular traffic, at the cutting edge of contemporary research, including traffic automation by means of autonomous vehicles. The contributions span the three most representative scales of mathematical modelling: the microscopic scale of particles, the mesoscopic scale of statistical kinetic description and the macroscopic scale of partial differential equations.The work is addressed to researchers in the field.

Editors and Affiliations

  • Department of Mathematics, Sapienza University of Rome, Roma, Italy

    Gabriella Puppo

  • Department of Mathematical Sciences “G. L. Lagrange”, Politecnico di Torino, Torino, Italy

    Andrea Tosin

About the editors

Gabriella Puppo is professor of numerical analysis at Sapienza, Università di Roma. Previously, she has had positions at Università dell'Insubria and Politecnico di Torino. She obtained a PhD in Applied Mathematics at the Courant Institute of NYU. Her research interests range from scientific computing for hyperbolic and kinetic equations, to modelling of physical and social phenomena using kinetic theory and hyperbolic PDE's.

Andrea Tosin is full professor of Mathematical Physics at Politecnico di Torino, Italy. His main research interests consist in revisiting the classical methods and concepts of kinetic theory, such as Boltzmann-type collisional equations and Fokker-Planck asymptotics, to investigate emerging problems in the realm of interacting multi-agent systems. Applications include vehicular traffic, crowd dynamics and social systems.

Bibliographic Information

  • Book Title: Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models

  • Editors: Gabriella Puppo, Andrea Tosin

  • Series Title: SEMA SIMAI Springer Series

  • DOI: https://doi.org/10.1007/978-3-030-66560-9

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-66559-3Published: 15 October 2021

  • Softcover ISBN: 978-3-030-66562-3Published: 15 October 2022

  • eBook ISBN: 978-3-030-66560-9Published: 31 March 2021

  • Series ISSN: 2199-3041

  • Series E-ISSN: 2199-305X

  • Edition Number: 1

  • Number of Pages: XII, 91

  • Number of Illustrations: 3 b/w illustrations, 26 illustrations in colour

  • Topics: Mathematical Modeling and Industrial Mathematics, Computational Mathematics and Numerical Analysis

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