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Mathematics - Computational Science & Engineering | Modeling and Simulation - An Application-Oriented Introduction

Modeling and Simulation

An Application-Oriented Introduction

Bungartz, H.-J., Zimmer, S., Buchholz, M., Pflüger, D.

Translated by Le Borne, R., Le Borne, S.

2014, XIV, 413 p. 158 illus.

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  • 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

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.

Content Level » Upper undergraduate

Keywords » case studies for modeling and simulation - discrete simulation - mathematical modelling - numerical simulation

Related subjects » Computational Science & Engineering - Mathematics - Theoretical Computer Science

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