TY  - BOOK
AU  - Soize, Christian
TI  - Uncertainty quantification: an accelerated course with advanced applications in computational engineering 
SN  - 9783319853727
U1  - 003.54 SOI-C 
PY  - 2017///
CY  - Switzerland
PB  - Springer
KW  - Uncertainty--Mathematical models
KW  - Engineering mathematics
KW  - Mathematics
KW  - Probabilities
KW  - Computer science--Mathematics
KW  - Engineering--Mathematical models
KW  - Stochastic models
N1  - This book presents the fundamental notions and advanced mathematical tools in the stochastic modelling of uncertainties and their quantification for large-scale computational models in sciences and engineering. In particular, it focuses on 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
ER  -