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Relative Entropy Application to Study the Elastoplastic Behavior of S235JR Structural Steel. [PDF]
Kamiński M, Strąkowski M.
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Uncertainty quantification via sparse polynomial chaos expansion
Ji Peng
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Sparse polynomial chaos expansions in engineering applications
Sudret, Bruno; id_orcid0000-0002-9501-7395 +1 more
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Multivariate Polynomial Chaos Expansions with Dependent Variables
SIAM Journal on Scientific Computing, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feinberg, Jonathan +2 more
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Global sensitivity analysis using polynomial chaos expansions
Reliability Engineering & System Safety, 2008Abstract 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
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Polynomial Chaos Expansions for Stiff Random ODEs
SIAM Journal on Scientific Computing, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenjie Shi, Daniel M. Tartakovsky
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Polynomial chaos expansion for sensitivity analysis
Reliability Engineering & System Safety, 2009Abstract 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
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On the guaranteed accuracy of Polynomial Chaos Expansions
IEEE Conference on Decision and Control and European Control Conference, 2011This 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
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