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Bibframe Work

Title
Uncertainty Quantification
Type
Text
Monograph
Multimedia
Contribution
Soize, Christian (Author)
Subject
(BISACSH)
Applied mathematics (LCSH)
Computer science--Mathematics (LCSH)
Engineering mathematics (LCSH)
Probabilities (LCSH)
Language
English
Classification
DDC: 004 full (Source: 23)
Content
text
Summary
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.
Table Of Contents
Fundamental Notions in Stochastic Modeling of Uncertainties and their Propagation in Computational Models
Elements of Probability Theory
Markov Process and Stochastic Differential Equation
MCMC Methods for Generating Realizations and for Estimating the Mathematical Expectation of Nonlinear Mappings of Random Vectors
Fundamental Probabilistic Tools for Stochastic Modeling of Uncertainties
Brief Overview of Stochastic Solvers for the Propagation of Uncertainties
Fundamental Tools for Statistical Inverse Problems
Uncertainty Quantification in Computational Structural Dynamics and Vibroacoustics
Robust Analysis with Respect to the Uncertainties for Analysis, Updating, Optimization, and Design
Random Fields and Uncertainty Quantification in Solid Mechanics of Continuum Media.
Authorized Access Point
Soize, Christian Uncertainty Quantification
Admin Metadata
Generation Process: DLC marc2bibframe2 v2.5.0
Status: changed
Encoding Level: preliminary
Identified By: bf:Local, 21771544
Change Date: 2020-10-26T17:32:50
Creation Date: 2017-04-24
Description Language: English
Assigner: United States, Library of Congress

Has Instance
Cham: Springer International Publishing, Imprint: Springer; 2017

Uncertainty QuantificationAn Accelerated Course with Advanced Applications in Computational Engineering () Cham: Springer International Publishing, Imprint: Springer; 2017

Other Physical Format
Soize, Christian Uncertainty quantification

Soize, Christian Uncertainty quantification (Text, Monograph)

Uncertainty Quantification : An Accelerated Course with Advanced Applications in Computational Engineering
Uncertainty Quantification : An Accelerated Course with Advanced Applications in Computational Engineering
Uncertainty Quantification : An Accelerated Course with Advanced Applications in Computational Engineering