Fundamental Notions in Stochastic Modeling of Uncertainties and Their Propagation in Computational Models

Abstract

This first chapter deals with a very short overview of fundamental notions, of concepts, and of vocabulary, concerning the aleatory uncertainties and the epistemic uncertainties, the sources of uncertainties and the variabilities (that are illustrated by showing experimental measurements for a real system), the role played by the model-parameter uncertainties and by the modeling errors in a nominal computational model, the major challenges for the computational models, and finally, concerning the fundamental methodologies.