The quantification of uncertainty in computational fluid dynamics (CFD) predictions is both a
significant challenge and an important goal. Probabilistic uncertainty quantification (UQ) …

This book results from a course developed by the author and reflects both his own and
collaborative research regarding the development and implementation of uncertainty …

This paper presents an extended polynomial chaos formalism for epistemic uncertainties
and a new framework for evaluating sensitivities and variations of output probability density …

This paper deals with a short overview on stochastic modeling of uncertainties. We introduce
the types of uncertainties, the variability of real systems, the types of probabilistic …

Sensitivity analysis and reliability assessment are two important aspects of structural and
system safety. Epistemic uncertainty with respect to probabilistic model of input parameters …

Reasonable modeling of non-Gaussian system inputs from limited observations and efficient
propagation of system response are of great significance in uncertain analysis of real …

In this paper, we offer a short overview of a number of methods that have been reported in
the computational-mechanics literature for quantifying uncertainties in engineering …

Stochastic Models of Uncertainties in Computational Mechanics: Front Matter Page 1
Lecture Notes in Mechanics 2 Stochastic Models of Uncertainties in Computational …

This paper investigates the formulation and numerical solution of reliability-based
optimization of structures exhibiting grouped uncertain-but-bounded variations. Based on …

Over the past decades there has been considerable interest among the scientific community
in modeling random system inputs from limited observations and propagating the system …