书目名称 | Uncertainty Quantification |
副标题 | An Accelerated Cours |
编辑 | Christian Soize |
视频video | |
概述 | Presents fundamental mathematical tools of probability and statistics that are directly useful for uncertainty quantification.Includes several topics not currently published in research monographs.Cov |
丛书名称 | Interdisciplinary Applied Mathematics |
图书封面 |  |
描述 | 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.. |
出版日期 | Textbook 2017 |
关键词 | High Stochastic Dimension; Maximum Entropy Principle; MCMC Methods; Model Uncertainties; Model-parameter |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-54339-0 |
isbn_softcover | 978-3-319-85372-7 |
isbn_ebook | 978-3-319-54339-0Series ISSN 0939-6047 Series E-ISSN 2196-9973 |
issn_series | 0939-6047 |
copyright | Springer International Publishing AG 2017 |