Modeling and Simulation

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, "e;from model derivation to the simulation"e;, is applied to 14 example scenarios from diverse fields such as "e;Game theory - deciding - planning"e;, "e;Traffic on highways and data highways"e;, "e;Dynamical systems"e; and "e;Physics in the computer"e;. 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.