Wednesday, September 18, 2013

The Stochastic Perturbation Method for Computational Mechanics

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The Stochastic Perturbation Method for Computational Mechanics Title: The Stochastic Perturbation Method for Computational Mechanics
Author: Marcin Kaminski
Publisher: 2013-02-18
Format: Online PDF (348 pages, 3.7MB)
Language: English
ISBN-10: 0470770821
ISBN-13: 9780470770825

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Stochastic Perturbation Method in Applied Sciences and Engineering is devoted to the theoretical aspects and computational implementation of the generalized stochastic perturbation technique. It is based on any order Taylor expansions of random variables and enables for determination of up to fourth order probabilistic moments and characteristics of the physical system response.

Table of Contents

Key features:

    Provides a grounding in the basic elements of statistics and probability and reliability engineering
    Describes the Stochastic Finite, Boundary Element and Finite Difference Methods, formulated according to the perturbation method
    Demonstrates dual computational implementation of the perturbation method with the use of Direct Differentiation Method and the Response Function Method
    Accompanied by a website (www.wiley.com/go/kaminski) with supporting stochastic numerical software
    Covers the computational implementation of the homogenization method for periodic composites with random and stochastic material properties
    Features case studies, numerical examples and practical applications

Stochastic Perturbation Method in Applied Sciences and Engineering is a comprehensive reference for researchers and engineers, and is an ideal introduction to the subject for postgraduate and graduate students.

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