Macroscopic models for vehicular flows and crowd dynamics : theory and applications : classical and non-classical advanced mathematics for real life applications

著者

    • Rosini, Massimiliano Daniele

書誌事項

Macroscopic models for vehicular flows and crowd dynamics : theory and applications : classical and non-classical advanced mathematics for real life applications

Massimiliano Daniele Rosini

(Understanding complex systems / founding editor, J.A. Scott Kelso)

Springer, 2013

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

This monograph presents a systematic treatment of the theory for hyperbolic conservation laws and their applications to vehicular traffics and crowd dynamics. In the first part of the book, the author presents very basic considerations and gradually introduces the mathematical tools necessary to describe and understand the mathematical models developed in the following parts focusing on vehicular and pedestrian traffic. The book is a self-contained valuable resource for advanced courses in mathematical modeling, physics and civil engineering. A number of examples and figures facilitate a better understanding of the underlying concepts and motivations for the students. Important new techniques are presented, in particular the wave front tracking algorithm, the operator splitting approach, the non-classical theory of conservation laws and the constrained problems. This book is the first to present a comprehensive account of these fundamental new mathematical advances.

目次

Part I Mathematical Theory.- Part II Models for Vehicular Traffic.- Part III Models for Pedestrian Traffic.

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詳細情報

  • NII書誌ID(NCID)
    BB13064550
  • ISBN
    • 9783319001548
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Heidelberg
  • ページ数/冊数
    xii, 242 p.
  • 大きさ
    25 cm
  • 親書誌ID
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