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Cacuci D.G. Sensitivity and uncertainty analysis. vol. 1: Theory

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Cacuci D.G. Sensitivity and uncertainty analysis. vol. 1: Theory
Chapman & Hall/CRC, Boca Raton, London, New York, 2003. – 285 pp. - ISBN 1-58488-115-1
In practice, scientists and engineers often face questions such as: how well does the model under consideration represent the underlying physical phenomena? What confidence can one have that the numerical results produced by the model are correct? How far can the calculated results be extrapolated? How can the predictability and/or extrapolation limits be extended and/or improved? Such questions are logical and easy to formulate, but quite difficult to answer quantitatively, in a mathematically and physically well-founded way. Answers to such questions are provided by sensitivity and uncertainty analyses. As computer-assisted modeling and analysis of physical processes have continued to grow and diversify, sensitivity and uncertainty analyses have become indispensable investigative scientific tools in their own rights.
Contents.
Concepts of matrix and operator theory for sensitivity and uncertainty analysis.
Concepts of probability theory for sensitivity and uncertainty analysis.
Measurement errors and uncertainties: basic concepts.
Local sensitivity and uncertainty analysis of linear systems.
Local sensitivity and uncertainty analysis of nonlinear systems.
Global optimization and sensitivity analysis.
References.
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