Modeling and inverse problems in the presence of uncertainty /
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 u...
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Main Authors: | , |
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Other Authors: | |
Format: | eBook |
Language: | English |
Published: |
Boca Raton :
CRC Press, Taylor and Francis,
2014.
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Series: | Monographs and research notes in mathematics.
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Subjects: | |
Online Access: | CONNECT CONNECT |
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100 | 1 | |a Banks, H. T. |q (Harvey Thomas), |d 1940- |e author. | |
245 | 1 | 0 | |a Modeling and inverse problems in the presence of uncertainty / |c H. Thomas Banks, Shuhua Hu, William Clayton Thompson. |
260 | |a Boca Raton : |b CRC Press, Taylor and Francis, |c 2014. | ||
300 | |a 1 online resource (403 pages) : |b illustrations | ||
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490 | 1 | |a Monographs and research notes in mathematics | |
588 | 0 | |a Print version record. | |
520 | |a 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. | ||
505 | 0 | |a 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. | |
504 | |a Includes bibliographical references and index. | ||
590 | |a O'Reilly Online Learning Platform: Academic Edition (SAML SSO Access) | ||
650 | 0 | |a Inverse problems (Differential equations) | |
650 | 0 | |a Mathematical models. | |
700 | 1 | |a Hu, Shuhua. | |
700 | 1 | |a Thompson, W. Clayton, |e author. | |
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776 | 0 | 8 | |i Print version: |a Banks, H.T. |t Modeling and Inverse Problems in the Presence of Uncertainty. |d Hoboken : Taylor and Francis, ©2014 |z 9781482206425 |
830 | 0 | |a Monographs and research notes in mathematics. | |
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