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Uncertainty quantification : theory, implementation, and applications / Ralph C. Smith.

By: Material type: TextTextSeries: Computational science and engineeringPublication details: Philadelphia : Society for Industrial and Applied Mathematics, c2014.Description: xviii, 382 p. : illustrations ; 26 cmISBN:
  • 9781611973211
Subject(s): DDC classification:
  • 000SA.09 23 Sm657
Contents:
Preface; Notation; Acronyms and initialisms; 1. Introduction; 2. Large-scale applications; 3. Prototypical models; 4. Fundamentals of probability, random processes, and statistics; 5. Representation of random inputs; 6. Parameter selection techniques; 7. Frequentist techniques for parameter estimation; 8. Bayesian techniques for parameter estimation; 9. Uncertainty propagation in models; 10. Stochastic spectral methods; 11. Sparse grid quadrature and interpolation techniques; 12. Prediction in the presence of model discrepancy; 13. Surrogate models; 14. Local sensitivity analysis; 15. Global sensitivity analysis; A. Concepts from functional analysis; Bibliography; Index.
Summary: A guide to the quantification of uncertainty in simulation models, aimed at students and researchers in mathematics, science and engineering.
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Includes bibliographical references and index.

Preface;
Notation;
Acronyms and initialisms;
1. Introduction;
2. Large-scale applications;
3. Prototypical models;
4. Fundamentals of probability, random processes, and statistics;
5. Representation of random inputs;
6. Parameter selection techniques;
7. Frequentist techniques for parameter estimation;
8. Bayesian techniques for parameter estimation;
9. Uncertainty propagation in models;
10. Stochastic spectral methods;
11. Sparse grid quadrature and interpolation techniques;
12. Prediction in the presence of model discrepancy;
13. Surrogate models;
14. Local sensitivity analysis;
15. Global sensitivity analysis;
A. Concepts from functional analysis;
Bibliography;
Index.

A guide to the quantification of uncertainty in simulation models, aimed at students and researchers in mathematics, science and engineering.

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