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＜電子ブック＞
Modeling and Simulation : An Application-Oriented Introduction / by Hans-Joachim Bungartz, Stefan Zimmer, Martin Buchholz, Dirk Pflüger
(Springer Undergraduate Texts in Mathematics and Technology. ISSN:18675514)

版	1st ed. 2014.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2014
本文言語	英語
大きさ	XIV, 413 p. 158 illus : online resource
著者標目	*Bungartz, Hans-Joachim author Zimmer, Stefan author Buchholz, Martin author Pflüger, Dirk author SpringerLink (Online service)
件　名	LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Mathematical models LCSH:Computer simulation FREE:Computational Science and Engineering FREE:Computational Mathematics and Numerical Analysis FREE:Mathematical Modeling and Industrial Mathematics FREE:Computer Modelling
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-642-39524-6

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