Inverse Methods in Physical Oceanography

ISBN-13: 9780521385688 / Angielski / Twarda / 1992 / 368 str.

Andrew F. Bennett; C. G. Batchelor; M. J. Ablowitz

Opis

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.

Recenzje

'… can be warmly recommended to every reader and library.' Mitteilungen German Geophysical Society

Spis treści

Preface; 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; Bibliography; Subject index.