A guide to the quantification of uncertainty in simulation models, aimed at students and researchers in mathematics, science and engineering. Num Pages: 400 pages, Illustrations (black and white). BIC Classification: PBT; PBWH; PDE; TBJ. Category: (P) Professional & Vocational. Dimension: 262 x 182 x 23. Weight in Grams: 898. . 2013. Hardcover. . . . .

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Bibliographic Details

Title: Uncertainty Quantification: Theory, Implementation, and Applications
Publisher: Society for Industrial & Applied Mathematics,U.S.
Publication Date: 2014
Language: English
ISBN 10: 161197321X
ISBN 13: 9781611973211
Binding: Hardcover
Condition: New

About this title

Synopsis

The need to quantify and characterise uncertainties arising in mathematical models with unknown parameters leads to the rapidly evolving field of uncertainty quantification. This book provides readers with the concepts, theory, and algorithms necessary to quantify input and response uncertainties for simulation models. It covers concepts from probability and statistics such as parameter selection techniques, frequentist and Bayesian model calibration, propagation of uncertainties, quantification of model discrepancy, and sensitivity analysis. The book goes on to explore applications and open problems from a wide array of disciplines, particularly those such as climate science, hydrology, and nuclear power where uncertainty quantification is crucial for both scientific understanding and public policy. An accompanying web page provides data used in the exercises and other supplementary material. The text is intended as a coursebook for advanced undergraduates and above, and as a resource for researchers in mathematics, statistics, operations research, science, and engineering.

About the Author

Ralph Smith is a Professor of Mathematics and Associate Director of the Center for Research in Scientific Computation at North Carolina State University.

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