Uncertainty Quantification

Chapter 1 Fundamental Notions in Stochastic Modeling of Uncertainties and Their Propagation in Computational Models

Chapter 3 Markov Process and Stochastic Differential Equation

Chapter 4 MCMC Methods for Generating Realizations and for Estimating the Mathematical Expectation of Nonlinear Mappings of Random Vectors

Chapter 5 Fundamental Probabilistic Tools for Stochastic Modeling of Uncertainties

Chapter 6 Brief Overview of Stochastic Solvers for the Propagation of Uncertainties

Chapter 7 Fundamental Tools for Statistical Inverse Problems

Chapter 8 Uncertainty Quantification in Computational Structural Dynamics and Vibroacoustics

Chapter 9 Robust Analysis with Respect to the Uncertainties for Analysis, Updating, Optimization, and Design

Chapter 10 Random Fields and Uncertainty Quantification in Solid Mechanics of Continuum Media