Uncertainty Quantification: Theory, Implementation, and Applications (Computational Science and Engineering)

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9781611973211: Uncertainty Quantification: Theory, Implementation, and Applications (Computational Science and Engineering)
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Intended for students at the advanced undergraduate level plus and researchers, this book develops the probability theory, statistics and algorithm design necessary to quantify input and response uncertainties for simulation models. The book explores applications and open research problems from fields such as climate science, hydrology, and nuclear power.

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Reseña del editor:

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.

Biografía del autor:

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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