Overview
- Provides a better understanding of random dynamical systems and stochastic differential equations
- Offers fundamental ideas and tools for the modeling, analysis, and prediction of complex phenomena
- Presents elementary tool for turbulent flow simulations
- Includes supplementary material: sn.pub/extras
Part of the book series: Mathematical Engineering (MATHENGIN)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (8 chapters)
-
Front Matter
Keywords
About this book
Mathematical analyses and computational predictions of the behavior of complex systems are needed to effectively deal with weather and climate predictions, for example, and the optimal design of technical processes. Given the random nature of such systems and the recognized relevance of randomness, the equations used to describe such systems usually need to involve stochastics.
 The basic goal of this book is to introduce the mathematics and application of stochastic equations used for the modeling of complex systems. A first focus is on the introduction to different topics in mathematical analysis. A second focus is on the application of mathematical tools to the analysis of stochastic equations. A third focus is on the development and application of stochastic methods to simulate turbulent flows as seen in reality.
 This book is primarily oriented towards mathematics and engineering PhD students, young and experienced researchers, and professionals working in the area of stochastic differential equations and their applications. It contributes to a growing understanding of concepts and terminology used by mathematicians, engineers, and physicists in this relatively young and quickly expanding field.
Â
Editors and Affiliations
Bibliographic Information
Book Title: Stochastic Equations for Complex Systems
Book Subtitle: Theoretical and Computational Topics
Editors: Stefan Heinz, Hakima Bessaih
Series Title: Mathematical Engineering
DOI: https://doi.org/10.1007/978-3-319-18206-3
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-18205-6Published: 20 May 2015
Softcover ISBN: 978-3-319-38450-4Published: 17 October 2016
eBook ISBN: 978-3-319-18206-3Published: 06 May 2015
Series ISSN: 2192-4732
Series E-ISSN: 2192-4740
Edition Number: 1
Number of Pages: VII, 192
Number of Illustrations: 9 b/w illustrations, 33 illustrations in colour
Topics: Probability Theory and Stochastic Processes, Engineering Fluid Dynamics, Computational Science and Engineering, Applications of Nonlinear Dynamics and Chaos Theory, Complexity