http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Modeling and inverse problems in the presence of uncertainty
1 online resource (403 pages) : illustrations
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.
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.
H. Thomas Banks, Shuhua Hu, William Clayton Thompson.
Includes bibliographical references and index.
Inverse problems (Differential equations)
Problèmes inverses (Équations différentielles)
Monographs and research notes in mathematics