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.
Editorial Reviews
Review
“…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 Review
“…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
Book Description
The work explores the potential for inverse theory which can combine observations of ocean circulation with numerical models.
Inverse Methods in Physical Oceanography (Cambridge Monographs on Mechanics)
Author(s): Andrew F. Bennett (Author)
Publisher: Cambridge University Press
Publication Date: January 21, 2008
Edition: 1st
Language: English
Print length: 368 pages
ISBN-10: 0521055288
ISBN-13: 9780521055284
Book Description
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.
Editorial Reviews
Review
“…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 Review
“…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
Book Description
The work explores the potential for inverse theory which can combine observations of ocean circulation with numerical models.
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