Inverse Modeling of the Ocean and Atmosphere: Euler–Lagrange equations for a numerical weather prediction model

By Andrew F. Bennett. 2002

204 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/0c4d9028c216435b3e7ec8e893b6c966b98b47d0

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Citations in the corpus

MAP estimators and their consistency in Bayesian nonparametric inverse problems (2013, methodology): “n nite dimensions since it implicitly assumes that the Cameron-Martin norm is 0 a.s. nite. In our specic application to uid mechanics our analysis demonstrates that widely used variational methods [2] may be interpreted as MAP estimators for an appropriate Bayesian inverse problem and, in particula”
Optimal and Robust Estimation: With an Introduction to Stochastic Control Theory, Second Edition (2007, methodology): “In this context, measurement uncertainty has also been addressed using EKF estimation (Bennet 2002).”
Data Assimilation for Numerical Weather Prediction: A Review (2009, methodology): “D VAR PSAS is achieved using an algorithm related to the representers technique (Bennett 2002), which is a practical algorithm for decoupling the Euler-Lagrange equations associated with the variational problem with weak constraint.”
Sampling the posterior: An approach to non-Gaussian data assimilation (2007, unknown): “More recent references include [23, 18, 27, 28, 14, 2, 3].”
Collective Motion, Sensor Networks, and Ocean Sampling (2007, methodology): “We consider a simple data assimilation scheme called objective analysis 2 (see e.g., [ 43 ], [44]).”
A comprehensive ocean prediction and analysis system based on the tangent linear and adjoint of a regional ocean model (2004, methodology): “One very powerful variant of this approach is the so-called method of representers described in detail by Bennett (1992, 2002).”
Bayesian inverse problems for functions and applications to fluid mechanics (2009, background): “The book [5] provides a very clear discussion of variational methods and, of particular relevance to the development in this paper, develops a view of the subject in function space.”
Loop Current, Rings and Related Circulation in the Gulf of Mexico: A Review of Numerical Models and Future Challenges (2013, background): “Bennett’s [2002] and Kalnay’s [2003] books, coupled with Daley’s [ 99 ], are excellent for”