This dissertation compares and contrasts large-scale optimization algorithms in the use of variational and sequential data assimilation on two novel problems chosen to highlight the challenges in non-linear and non-smooth data assimilation. The first problem explores the impact of a highly non-linear observation operator and highlights the importance of background information on the data assimilation problem. The second problem tackles large-scale data assimilation with a non-smooth observation operator. Together, these two cases show both the importance of choosing an appropriate data assimilation method and, when a variational or variationally-inspired method is chosen, the importance of choosing the right optimization algorithm for the problem at hand. / A Dissertation submitted to the Department of Scientiļ¬c Computing in partial fulfillment of the requirements for the degree of Doctor of Philosophy. / Spring Semester, 2012. / November 21, 2011. / All-sky infrared satellite, Cloudy IR, Inverse problem, Limited Memory Bundle Method, Non-differentiable, Quasi-Newton / Includes bibliographical references. / Ionel Michael Navon, Professor Directing Thesis; Guosheng Liu, University Representative; Max Gunzburger, Committee Member; Gordon Erlebacher, Committee Member; Milijia Zupanski, Committee Member; Napsu Karmitsa, Committee Member.
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_183131 |
| Contributors | Steward, Jeffrey L. (Jeffrey Lawrence), 1980- (authoraut), Navon, Ionel Michael (professor directing thesis), Liu, Guosheng (university representative), Gunzburger, Max (committee member), Erlebacher, Gordon (committee member), Zupanski, Milijia (committee member), Karmitsa, Napsu (committee member), Department of Scientific Computing (degree granting department), Florida State University (degree granting institution) |
| Publisher | Florida State University, Florida State University |
| Source Sets | Florida State University |
| Language | English, English |
| Detected Language | English |
| Type | Text, text |
| Format | 1 online resource, computer, application/pdf |
| Rights | This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). The copyright in theses and dissertations completed at Florida State University is held by the students who author them. |
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