Uncertainty Quantification: An Accelerated Course with Advanced Applications in Computational Engineering (Interdisciplinary Applied Mathematics, 47)

Soize, Christian

ISBN 10: 3319853724 / ISBN 13: 9783319853727

Published by Springer, 2018

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Bibliographic Details

• Title: Uncertainty Quantification: An Accelerated Course with Advanced Applications in Computational Engineering (Interdisciplinary Applied Mathematics, 47)
• Publisher: Springer
• Publication Date: 2018
• Language: English
• ISBN 10: 3319853724
• ISBN 13: 9783319853727
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.

About the Author

Christian Soize is professor at Universite Paris-Est Marne-la-Valee.  His research interests include stochastic modeling of uncertainties in computational mechanics, their propagation and their quantification.