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 In: Mathematical challenges in climate science, Leiden, The Netherlands, 9-13 Mar 2009 (Unpublished)

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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)
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Official Date:	10 March 2009
Dates:	Date Event 10 March 2009 Completion
Status:	Not Peer Reviewed
Publication Status:	Unpublished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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