Results 191 to 200 of about 13,481 (226)

Sparse polynomial chaos expansions in engineering applications

open access: yes, 2013
Sudret, Bruno; id_orcid0000-0002-9501-7395   +1 more
openaire   +1 more source

Multivariate Polynomial Chaos Expansions with Dependent Variables

SIAM Journal on Scientific Computing, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feinberg, Jonathan   +2 more
openaire   +3 more sources

Global sensitivity analysis using polynomial chaos expansions

Reliability Engineering & System Safety, 2008
Abstract Global sensitivity analysis (SA) aims at quantifying the respective effects of input random variables (or combinations thereof) onto the variance of the response of a physical or mathematical model. Among the abundant literature on sensitivity measures, the Sobol’ indices have received much attention since they provide accurate information ...
Bruno Sudret
openaire   +3 more sources

Polynomial Chaos Expansions for Stiff Random ODEs

SIAM Journal on Scientific Computing, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenjie Shi, Daniel M. Tartakovsky
openaire   +2 more sources

Polynomial chaos expansion for sensitivity analysis

Reliability Engineering & System Safety, 2009
Abstract In this paper, the computation of Sobol's sensitivity indices from the polynomial chaos expansion of a model output involving uncertain inputs is investigated. It is shown that when the model output is smooth with regards to the inputs, a spectral convergence of the computed sensitivity indices is achieved.
Thierry Crestaux   +2 more
openaire   +1 more source

On the guaranteed accuracy of Polynomial Chaos Expansions

IEEE Conference on Decision and Control and European Control Conference, 2011
This paper is concerned with the efficient simulation of stochastic nonlinear dynamical systems. A technique based on Polynomial Chaos Expansion (PCE) theory is used, in order to estimate the time evolution of the stochastic properties of the variables of interest.
FAGIANO, LORENZO   +2 more
openaire   +3 more sources

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