Modeling and Simulation: An Application-Oriented Introduction [Hardcover]

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.

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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 .

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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.

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.

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