University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Current state of the art of polynomial chaos metamodel construction

Current state of the art of polynomial chaos metamodel construction

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Mustapha Amrani.

Turing Gateway to Mathematics

Polynomial chaos expansion is being increasingly used in the uncertainty quantification of industrial applications. Proposed by Weiner to represent random solution response with respect to input stochastic process with Gaussian random variable using a Hermite polynomial, polynomial chaos expansion (PCE) metamodel mimics the response of the solution over the random input parameter space and can be used in quantile estimation, reliability analysis and solution optimization, in addition to quantifying statistical moments. PCE is useful in the industrial context because analysis on a polynomial metamodel is essentially free in comparison to the time- and CPU -intensive evaluation of the complete numerical model. One of its main appeal lies in its non-intrusive approach: the PCE metamodel can be constructed from samples of the complete numerical model: a black-box. This talk will compare the current state of the art in PCE methodologies, namely the stochastic spectral projection, algebraic quadrature and least-squares, using examples.

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity