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Stochastic Equations for Complex Systems: Theoretical and Computational Topics: Mathematical Engineering

Editat de Stefan Heinz, Hakima Bessaih
en Limba Engleză Hardback – 20 mai 2015
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.
 
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Specificații

ISBN-13: 9783319182056
ISBN-10: 3319182056
Pagini: 192
Ilustrații: VII, 192 p. 42 illus., 33 illus. in color.
Dimensiuni: 155 x 235 x 17 mm
Greutate: 0.46 kg
Ediția:2015
Editura: Springer International Publishing
Colecția Springer
Seria Mathematical Engineering

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

Stochastic differential equations.- Malliavin Calculus.- Monte Carlo methods.- Multiscale models.- Molecular dynamics.- Stochastic methods for turbulent flows.

Textul de pe ultima copertă

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.
 

Caracteristici

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