The performance of a multidisciplinary system is inevitably affected by various sources of uncertainties, usually categorized as aleatory (e.g. input variability) or epistemic (e.g. model uncertainty) uncertainty. In the framework of design under uncertainty, all sources of uncertainties should be aggregated to assess the uncertainty of system quantities of interest (QOIs). In a multidisciplina...

When propagating uncertainty in the data of differential equations, probability laws describing are typically themselves subject to uncertainty. We present a sensitivity analysis propagation for equations with random inputs perturbations input measures. focus on elliptic diffusion equation coefficient and source term, which measure solution field is shown be Lipschitz-continuous both total vari...

A novel adaptive scheme is presented in order to refine and to coarse the number of Gaussian components in a Gaussian mixture and it is integrated with a previous adaptive Gaussian sum for uncertainty propagation through dynamical systems. The previously presented adaptive Gaussian sum for uncertainty propagation adapts the weights of different components under the assumption that the number of...

It is considered that the process of fatigue fracture could be arranged the three classes, i.e., crack initiation, crack propagation and fracture. Of these the second process is important from the following point of view. (1) As has so far been reported in many publications, the importance of crack propagation process in total fatigue life increases in proportion to the increase in the stress c...

Observation uncertainty techniques offer a way to dynamically compensate automatic speech recognizers to account for the information missing in real world scenarios. These techniques have been demonstrated to effectively be able to compensate multiple environment distortions and improve the integration of ASR systems with speech enhancement pre-processing through uncertainty propagation. Unfort...

New aspects and advancements in classical uncertainty propagation methods were used to develop a nutrient budget with associated uncertainty for a northern Gulf of Mexico coastal embayment. Uncertainty was calculated for budget terms by propagating the standard error and degrees of freedom. New aspects include the combined use of Monte Carlo simulations with classical error propagation methods,...