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Professor Bennett's work explores the potential for inverse theory, emphasizing possibilities rather than expedient or rudimentary applications. In addition to interpolating the data and adding realism to the model solutions, the methods can yield estimates for unobserved flow variables, forcing fields, and model parameters. Inverse formulations can resolve ill-posed modeling problems, lead to design criteria for oceanic observing systems, and enable the testing of models as scientific hypothesis. Ocean models considered range from linear, finite-dimensional systems of equality and inequality constraints, to nonlinear, regional primitive-equation models. Examples from the recent oceanographic literature are analyzed, and several outstanding research problems are surveyed. The methods employ solution techniques including Kalman filters and smoothers, representer expansions and descent algorithms. Exercises of varying difficulty rehearse technical skills and supplement the central theoretical development.Read more
- Rigorous mathematical treatment of the subject
- Well-respected author
- Covers important topics in both oceanography and meteorology
Reviews & endorsements
"...gives an excellent overview of how certain techniques that have been applied to other inverse problems can be applied to tackle inverse problems arising in oceanography....accessible to well-prepared graduate students, researchers, and applied mathematicians." Fadil Santosa, Applied Mechanics ReviewSee more reviews
"...could fill an important niche in the literature." John Derber, Bulletin of the American Meteorological Society
"Oceanographers and meteorologists...will find that there is no substitute for this book." M. Ghil and C.L. Keppenne, PAGEOPH
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- Date Published: January 2008
- format: Paperback
- isbn: 9780521055284
- length: 368 pages
- dimensions: 228 x 151 x 20 mm
- weight: 0.553kg
- contains: 102 b/w illus. 9 tables
- availability: Available
Table of Contents
1. Finite-dimensional inverse theory
2. The smoothing of observations
3. Data assimilation
4. The spatial structure of the Kalman filter
5. Generalized inverses of dynamical models
6. Antenna analysis
7. Nonlinear quasi-geostrophic models
8. Open-ocean modeling: quasi-geostrophy
9. Primitive-equation models
10. Outstanding problems
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