Probabilistic analysis is increasing in popularity and importance
within engineering and the applied sciences. However, the
stochastic perturbation technique is a fairly recent development
and therefore remains as yet unknown to many students, researchers
and engineers. Fields in which the methodology can be applied are
widespread, including various branches of engineering, heat
transfer and statistical mechanics, reliability assessment and also
financial investments or economical prognosis in analytical and
computational contexts.
"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.
Key features: Provides a grounding in the basic elements of
statistics and probability and reliability engineeringDescribes 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 softwareCovers the computational
implementation of the homogenization method for periodic composites
with random and stochastic material propertiesFeatures 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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