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

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

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About the Book

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.


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Product Details
  • ISBN-13: 9783319543383
  • Publisher: Springer International Publishing AG
  • Publisher Imprint: Springer International Publishing AG
  • Height: 235 mm
  • No of Pages: 329
  • Series Title: 47 Interdisciplinary Applied Mathematics
  • Width: 155 mm
  • ISBN-10: 3319543385
  • Publisher Date: 03 May 2017
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Sub Title: An Accelerated Course with Advanced Applications in Computational Engineering


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

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