000 a
999 _c29797
_d29797
008 191120b xxu||||| |||| 00| 0 eng d
020 _a9783319543383
082 _a620.0015192
_bSOI
100 _aSoize, Christian
245 _aUncertainty quantification : an accelerated course with advanced applications in computational engineering
260 _aCham
_bSpringer
_c2017
300 _axxii, 329 p.
_bill. (some col.)
_c24 cm
365 _b74.99
_cEUR
_d82.00
490 _aInterdisciplinary applied mathematics
_vv. 47
504 _aIncludes bibliographical references and index.
520 _aThis 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.
650 _aInformation theory
650 _aStatistical methods
650 _aData processing
650 _aStochastic models
650 _aApplied Mathematics
650 _aComputational Methods of Engineering
650 _aEngineering mathematics
650 _aProbability Theory and Stochastic Processes
942 _2ddc
_cBK