Modeling and Simulation
An Application-Oriented Introduction
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Beschreibung
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.
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.
Covering a wide range of modeling-driven domains: decisions, traffic, dynamical systems, physics Motivated by concrete relevant scenarios, but not application-bound Looking at modeling and simulation as a general methodology for science and engineering fed by mathematics and informatics Includes supplementary material: sn.pub/extras
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Hans-Joachim Bungartz
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From the reviews:
“This is an introductory textbook to modeling and simulation that are considered as systematic approach to gain knowledge and results. … The book is very suitable for the first touch with the topics. It contains very intuitive examples for learning. … it has to be an excellent advertising of computer modeling and simulation.” (Eduard Kostolansky, zbMATH, Vol. 1281, 2014)
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