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Modeling and simulation : an application-oriented introduction / by Hans-Joachim Bungartz, Stefan Zimmer, Martin Buchholz, Dirk Pflüger ; translated by Sabine Le Borne, Richard Le Borne.

By: Contributor(s): Material type: TextTextLanguage: English Original language: German Series: Springer undergraduate texts in mathematics and technologyPublisher: Berlin : Springer, 2014Description: xiv, 413 pages : illustrations (black and white, and colour) ; 24 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9783642395239 (hbk.)
Uniform titles:
  • Modellbildung und Simulation. English
Subject(s): DDC classification:
  • 003.3 B.H.M 23
Online resources:
Contents:
1 Introduction.- 2 The necessary instruments in brief.- Part I Playing - deciding - planning: A modeling warm-up.- 3 Game theory.- 4 Group decisions.- 5 Schedules.- 6 Wiener processes.- Part II Traffic on highways and data highways: A trip through the simulation pipeline.- 7 Macroscopic simulation of traffic.- 8 Microscopic simulation of traffic.- 9 Stochastic traffic simulations.- Part III Dynamic systems: Cause, effect and interaction.- 10 Population dynamics.- 11 Controllers.- 12 Chaos theory.- Part IV Physics on the computer: The switch to number crunchers.- 13 Molecular dynamics.- 14 Thermal conduction.- 15 Fluid mechanics.- 16 Global illumination in computer graphics.- Closing remarks.- Bibliography.- Index.
Summary: 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.
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1 Introduction.- 2 The necessary instruments in brief.- Part I Playing - deciding - planning: A modeling warm-up.- 3 Game theory.- 4 Group decisions.- 5 Schedules.- 6 Wiener processes.- Part II Traffic on highways and data highways: A trip through the simulation pipeline.- 7 Macroscopic simulation of traffic.- 8 Microscopic simulation of traffic.- 9 Stochastic traffic simulations.- Part III Dynamic systems: Cause, effect and interaction.- 10 Population dynamics.- 11 Controllers.- 12 Chaos theory.- Part IV Physics on the computer: The switch to number crunchers.- 13 Molecular dynamics.- 14 Thermal conduction.- 15 Fluid mechanics.- 16 Global illumination in computer graphics.- Closing remarks.- Bibliography.- Index.

1 Introduction.- 2 The necessary instruments in brief.- Part I Playing - deciding - planning: A modeling warm-up.- 3 Game theory.- 4 Group decisions.- 5 Schedules.- 6 Wiener processes.- Part II Traffic on highways and data highways: A trip through the simulation pipeline.- 7 Macroscopic simulation of traffic.- 8 Microscopic simulation of traffic.- 9 Stochastic traffic simulations.- Part III Dynamic systems: Cause, effect and interaction.- 10 Population dynamics.- 11 Controllers.- 12 Chaos theory.- Part IV Physics on the computer: The switch to number crunchers.- 13 Molecular dynamics.- 14 Thermal conduction.- 15 Fluid mechanics.- 16 Global illumination in computer graphics.- Closing remarks.- Bibliography.- Index.

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.

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