| Description |
1 online resource (403 pages) : illustrations |
| Series |
Monographs and research notes in mathematics |
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Monographs and research notes in mathematics.
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| Summary |
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. |
| Contents |
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. |
| Bibliography |
Includes bibliographical references and index. |
| Subject |
Inverse problems (Differential equations)
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Mathematical models.
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Problèmes inverses (Équations différentielles) |
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Modèles mathématiques. |
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mathematical models. |
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Inverse problems (Differential equations) |
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Mathematical models |
| Added Author |
Hu, Shuhua.
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Thompson, W. Clayton, author.
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| Other Form: |
Print version: Banks, H.T. Modeling and Inverse Problems in the Presence of Uncertainty. Hoboken : Taylor and Francis, ©2014 9781482206425 |
| ISBN |
9781482206432 (electronic bk.) |
|
1482206439 (electronic bk.) |
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1482206420 |
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9781482206425 |
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9780429171024 (electronic bk.) |
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0429171021 (electronic bk.) |
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