β Scribed by Hans-Joachim Bungartz, Stefan Zimmer, Martin Buchholz, Dirk PflΓΌger (auth.)
No coin nor oath required. For personal study only.
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.
Front Matter....Pages i-xiv
Introduction....Pages 1-15
Required Tools in Short....Pages 17-83
Front Matter....Pages 85-86
Game Theory....Pages 87-98
Group Decision Making....Pages 99-110
Scheduling....Pages 111-129
Wiener Processes....Pages 131-143
Front Matter....Pages 145-147
Macroscopic Simulation of Road Traffic....Pages 149-170
Microscopic Simulation of Road Traffic....Pages 171-201
Stochastic Traffic Simulation....Pages 203-238
Front Matter....Pages 239-240
Population Dynamics....Pages 241-253
Control Engineering....Pages 255-289
Chaos Theory....Pages 291-314
Front Matter....Pages 315-316
Molecular Dynamics....Pages 317-335
Heat Transfer....Pages 337-353
Fluid Dynamics....Pages 355-380
Global Illumination in Computer Graphics....Pages 381-399
Back Matter....Pages 401-413
Computational Science and Engineering; Computational Mathematics and Numerical Analysis; Mathematical Modeling and Industrial Mathematics; Simulation and Modeling
π SIMILAR VOLUMES
This text teaches, by example, how to create models, simulate performance simulations and analyse results. It takes a quantitative approach and covers a range of event driven and time driven models. In addition it is software independent - to make implementations as generic as possible, which allows
Π£ΡΠ΅Π±Π½ΠΎΠ΅ ΠΏΠΎΡΠΎΠ±ΠΈΠ΅, <br/>TUTORIAL.<br/>Version 2006, 139p.<br/>Abstract.<br/>Object-Oriented modeling is a fast-growing area of modeling and simulation that provides a structured, computer-supported way of doing mathematical and equation-based modeling. Modelica is today the most promising modeling and