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A mathematical framework for data assimilation
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Stuart, A. M. (2009) A mathematical framework for data assimilation. In: Mathematical challenges in climate science, Leiden, The Netherlands, 9-13 Mar 2009 (Unpublished)
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Official URL: http://lorentzcenter.nl/lc/web/2009/344/info.php3?...
Abstract
Data assimilation has evolved, for the most part, in an applied context and the mathematical framework has not been fully developed. In this talk I will develop on abstract framework for inverse problems, viewed in the framework of Bayesian statistics, and show that a common framework underlies a range of application, including data assimilation in fluid mechanics, but encompassing other problems arising in filds such as nuclear waste management and oil recovery. This common framework will be demonstrated to be useful for a number of reasons, including the proper specification of prior information (regularization) as well as the development of algorithms which do not degenerate under mesh refinement.
Item Type: | Conference Item (Paper) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Official Date: | 10 March 2009 | ||||
Dates: |
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Status: | Not Peer Reviewed | ||||
Publication Status: | Unpublished | ||||
Conference Paper Type: | Paper | ||||
Title of Event: | Mathematical challenges in climate science | ||||
Type of Event: | Conference | ||||
Location of Event: | Leiden, The Netherlands | ||||
Date(s) of Event: | 9-13 Mar 2009 |
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