Uncertainty Quantification

This book presents the fundamental notions and advanced mathematical tools in the stochastic modeling of uncertainties and their quantification for large-scale computational models in sciences and engineering. In particular, it focuses in parametric uncertainties, and non-parametric uncertainties with applications from the structural dynamics and vibroacoustics of complex mechanical systems, from micromechanics and multiscale mechanics of heterogeneous materials.
Resulting from a course developed by the author, the book begins with a description of the fundamental mathematical tools of probability and statistics that are directly useful for uncertainty quantification. It proceeds with a well carried out description of some basic and advanced methods for constructing stochastic models of uncertainties, paying particular attention to the problem of calibrating and identifying a stochastic model of uncertainty when experimental data is available.
This book is intended to be a graduate-level textbook for students as well as professionals interested in the theory, computation, and applications of risk and prediction in science and engineering fields.

Aceasta carte prezinta notiunile fundamentale si instrumentele matematice avansate in modelarea stocastica a incertitudinilor si cuantificarea acestora pentru modele de calcul pe scara larga in stiinte si inginerie. In special, se concentreaza asupra incertitudinilor parametrice si a incertitudinilor neparametrice cu aplicatii din dinamica structurala si vibroacustica sistemelor mecanice complexe, din micromecanica si mecanica multicanala a materialelor eterogene.