Modeling and simulation : an application-oriented introduction / Hans-Joachim Bungartz...[et al.]. and translated from the german by Sabine Le Borne and Richard Le Borne.

Translated from the German by Sabine Le Borne and Richard Le Borne.

Includes bibliographical references and index.

1 Introduction --
2. Required tools in short--
3. Game theory--
4. Group decision making--
5. Scheduling--
6. Wiener processes--
7. Macroscopic simulation of road traffic--
8. Microscopic simulation of road traffic--
9. Stochastic traffic simulation--
10. Population dynamics--
11. Control engineering--
12. Chaos theory--
13. Molecular dynamics--
14. Heat transfer--
15. Fluid dynamics--
16. Global Illumination in computer graphics--
Concluding remarks--
References--
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.