Modeling and Simulation

An Application-Oriented Introduction

  • Hans-Joachim Bungartz
  • Stefan Zimmer
  • Martin Buchholz
  • Dirk Pflüger
Part of the Springer Undergraduate Texts in Mathematics and Technology book series (SUMAT)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Hans-Joachim Bungartz, Stefan Zimmer, Martin Buchholz, Dirk Pflüger
    Pages 1-15
  3. Hans-Joachim Bungartz, Stefan Zimmer, Martin Buchholz, Dirk Pflüger
    Pages 17-83
  4. Gaming—Deciding—Planning: A Warm-up for Modeling

    1. Front Matter
      Pages 85-86
    2. Hans-Joachim Bungartz, Stefan Zimmer, Martin Buchholz, Dirk Pflüger
      Pages 87-98
    3. Hans-Joachim Bungartz, Stefan Zimmer, Martin Buchholz, Dirk Pflüger
      Pages 99-110
    4. Hans-Joachim Bungartz, Stefan Zimmer, Martin Buchholz, Dirk Pflüger
      Pages 111-129
    5. Hans-Joachim Bungartz, Stefan Zimmer, Martin Buchholz, Dirk Pflüger
      Pages 131-143
  5. Traffic on Highways and Data Highways: Once Through the Simulation Pipeline

    1. Front Matter
      Pages 145-147
    2. Hans-Joachim Bungartz, Stefan Zimmer, Martin Buchholz, Dirk Pflüger
      Pages 149-170
    3. Hans-Joachim Bungartz, Stefan Zimmer, Martin Buchholz, Dirk Pflüger
      Pages 171-201
    4. Hans-Joachim Bungartz, Stefan Zimmer, Martin Buchholz, Dirk Pflüger
      Pages 203-238
  6. Dynamical Systems: Cause, Effect, and Interplay

    1. Front Matter
      Pages 239-240
    2. Hans-Joachim Bungartz, Stefan Zimmer, Martin Buchholz, Dirk Pflüger
      Pages 241-253
    3. Hans-Joachim Bungartz, Stefan Zimmer, Martin Buchholz, Dirk Pflüger
      Pages 255-289
    4. Hans-Joachim Bungartz, Stefan Zimmer, Martin Buchholz, Dirk Pflüger
      Pages 291-314
  7. Physics in the Computer: Take-Off Toward Number Crunching

    1. Front Matter
      Pages 315-316
    2. Hans-Joachim Bungartz, Stefan Zimmer, Martin Buchholz, Dirk Pflüger
      Pages 317-335
    3. Hans-Joachim Bungartz, Stefan Zimmer, Martin Buchholz, Dirk Pflüger
      Pages 337-353
    4. Hans-Joachim Bungartz, Stefan Zimmer, Martin Buchholz, Dirk Pflüger
      Pages 355-380

About this book

Introduction

This book provides an introduction to mathematical and computer-oriented modeling and to simulation as a universal methodology. It therefore addresses various model classes and their derivations. And it demonstrates the diversity of approaches that can be taken: be it discrete or continuous, deterministic or stochastic. A common underlying theme throughout the book are the means in which one obtains practical simulation results from these different abstract models.

 

Subsequent to a brief review of the mathematical tools that are required, the concept of the simulation pipeline, "from model derivation to the simulation", is applied to 14 example scenarios from diverse fields such as "Game theory - deciding - planning", "Traffic on highways and data highways", "Dynamical systems" and "Physics in the computer".

 

Whether it is game theory or mathematical finance, traffic or control theory, population dynamics or chaos, or molecular dynamics, continuum mechanics or computer graphics - the reader gains insight into the world of simulation in a descriptive yet systematic way.

Keywords

case studies for modeling and simulation discrete simulation mathematical modelling numerical simulation

Authors and affiliations

  • Hans-Joachim Bungartz
    • 1
  • Stefan Zimmer
    • 2
  • Martin Buchholz
    • 3
  • Dirk Pflüger
    • 4
  1. 1.Department of InformaticsTechnische Universität MünchenMunichGermany
  2. 2.University of Stuttgart IPVSStuttgartGermany
  3. 3.Realtime Technology AGMunichGermany
  4. 4.University of Stuttgart IPVSStuttgartGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-39524-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 2014
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-39523-9
  • Online ISBN 978-3-642-39524-6
  • Series Print ISSN 1867-5506
  • Series Online ISSN 1867-5514
  • About this book