Description: Please refer to the section BELOW (and NOT ABOVE) this line for the product details - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Title:Stochastic Finite Elements: A Spectral Approach, Revised EditionISBN13:9780486428185ISBN10:0486428184Author:Ghanem, Roger G. (Author), Spanos, Pol D. (Author), Engineering (Author)Description:Discrepancies Frequently Occur Between A Physical System's Responses And Predictions Obtained From Mathematical Models The Spectral Stochastic Finite Element Method (Ssfem) Has Proven Successful At Forecasting A Variety Of Uncertainties In Calculating System Responses This Text Analyzes A Class Of Discrete Mathematical Models Of Engineering Systems, Identifying Key Issues And Reviewing Relevant Theoretical Concepts, With Particular Attention To A Spectral Approach Random System Parameters Are Modeled As Second-Order Stochastic Processes, Defined By Their Mean And Covariance Functions Relying On The Spectral Properties Of The Covariance Function, The Karhunen-Loeve Expansion Is Employed To Represent These Processes In Terms Of A Countable Set Of Uncorrected Random Variables, Casting The Problem In A Finite Dimensional Setting Various Spectral Approximations For The Stochastic Response Of The System Are Obtained Implementing The Concept Of Generalized Inverse Leads To An Explicit Expression For The Response Process As A Multivariate Polynomial Functional Of A Set Of Uncorrelated Random Variables Alternatively, The Solution Process Is Treated As An Element In The Hilbert Space Of Random Functions, In Which A Spectral Representation Is Identified In Terms Of Polynomial Chaos In This Context, The Solution Process Is Approximated By Its Projection Onto A Finite Subspace Spanned By These Polynomials Binding:Paperback, PaperbackPublisher:DOVER PUBN INCPublication Date:2012-07-17Weight:0.59 lbsDimensions:0.56'' H x 8.42'' L x 5.4'' WNumber of Pages:240Language:English
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Location: USA
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Book Title: Stochastic Finite Elements: A Spectral Approach, Revised Edi...
Item Length: 8.4in
Item Height: 0.6in
Item Width: 5.4in
Author: Pol D. Spanos, Roger G. Ghanem
Publication Name: Stochastic Finite Elements : a Spectral Approach
Format: Trade Paperback
Language: English
Publisher: Dover Publications, Incorporated
Series: Dover Civil and Mechanical Engineering Ser.
Publication Year: 2012
Type: Textbook
Item Weight: 9.1 Oz
Number of Pages: 240 Pages
