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 |