Uncertainty Quantification: An Accelerated Course with Advanced Applications in Computational Engineering 2017 Edition Contributor(s): Soize, Christian (Author) |
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ISBN: 3319543385 ISBN-13: 9783319543383 Publisher: Springer OUR PRICE: $94.99 Product Type: Hardcover - Other Formats Published: May 2017 |
Additional Information |
BISAC Categories: - Computers | Computer Science - Mathematics | Applied - Mathematics | Probability & Statistics - General |
Dewey: 004 |
Series: Interdisciplinary Applied Mathematics |
Physical Information: 0.91" H x 6.53" W x 9.59" (1.40 lbs) 329 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |