Uncertainty quantification is the state-of-the-art framework dealing with uncertainties arising in all kind of real-life problems. One of the framework’s functions is to propagate uncertainties from the stochastic input factors to the output quantities of interest, hence the name uncertainty propagation. To this end, polynomial chaos expansions (PCE) have been effectively used in a wide variety...

This paper describes uncertainty quantification (UQ) of a complex system computational tool that supports policy-making for aviation environmental impact. The paper presents the methods needed to create a tool that is “UQ-enabled” with a particular focus on how to manage the complexity of long run times and massive input/output datasets. These methods include a process to quantify parameter unc...

Considering that excessive sample data points are needed in the probabilistic method, in this paper, two non-probabilistic methods are proposed for uncertainty quantification and propagation analysis based on the Gray mathematical theory and the information entropy theory. These two methods can give the interval estimation of true value from the framework of non-probabilistic theory under the c...

the 8th International Symposium on Imprecise Probability: Theories and Applications (ISIPTA’13). The symposium was organized by the Society for Imprecise Probability: Theories and Applications (SIPTA) at the University of Compiègne (France) in July 2013 (http://www.sipta.org/isipta13). The biennial ISIPTA meetings are well established among international conferences on generalized methods for u...

We consider the inverse problem of determining the permeability from the pressure in a Darcy model of flow in a porous medium. Mathematically the problem is to find the diffusion coefficient for a linear uniformly elliptic partial differential equation in divergence form, in a bounded domain in dimension d ≤ 3, from measurements of the solution in the interior. We adopt a Bayesian approach to t...

We determine the exchange relations of the level-one q-vertex operators of the quantum affine superalgebra Uq[ ̂ gl(N |N)]. We study in details the level-one irreducible highest weight representations of Uq[ ̂ gl(2|2)], and compute the characters and supercharacters associated with these irreducible modules. Mathematics Subject Classifications (1991): 17B37, 81R50, 81R10, 16W30

In this paper, Bayesian finite element (FE) model updating is applied for uncertainty quantification in the multi-stage damage assessment of a seven-story reinforced building slice. The results of the Bayesian updating scheme are analyzed using a detailed uncertainty and resolution analysis which involves computing the posterior statistics and solving an eigenvalue problem. It is shown that the...

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