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" Modeling and inverse problems in the presence of uncertainty "
H. Thomas Banks, Shuhua Hu, William Clayton Thompson.
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BL
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| Record Number
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614944
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dltt
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| Main Entry
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Banks, H. T., (Harvey Thomas),1940-
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| Title & Author
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Modeling and inverse problems in the presence of uncertainty\ H. Thomas Banks, Shuhua Hu, William Clayton Thompson.
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| Publication Statement
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Boca Raton :: CRC Press, Taylor and Francis,, 2014.
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| Series Statement
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Monographs and research notes in mathematics
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1 online resource (403 pages) :: illustrations.
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| ISBN
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9781482206432
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: 1482206439
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9781482206425
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| Contents
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1. Introduction -- 2. Probability and statistics overview -- 3. Mathematical and statistical aspects of inverse problems -- 4. Model selection criteria -- 5. Estimation of probability measures using aggregate population data -- 6. Optimal design -- 7. Propagation of uncertainty in a continuous time dynamical system -- 8. A stochastic system and its corresponding deterministic system.
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| Abstract
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Modeling and Inverse Problems in the Presence of Uncertainty collects recent research-including the authors' own substantial projects-on uncertainty propagation and quantification. It covers two sources of uncertainty: where uncertainty is present primarily due to measurement errors and where uncertainty is present due to the modeling formulation itself. After a useful review of relevant probability and statistical concepts, the book summarizes mathematical and statistical aspects of inverse problem methodology, including ordinary, weighted, and generalized le.
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Inverse problems (Differential equations)
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Mathematical models.
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MATHEMATICS-- General.
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Inverse problems (Differential equations)
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Mathematical models.
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Hu, Shuhua.
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Thompson, W. Clayton
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