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<span style="font-size: 14pt;"><b><i>"You Will Be Assimilated: Incorporating Data for Insights into Physics & Mathematics"</i></b></span>
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<div class="ContentPasted0"><span style="font-size: 14pt;"><b>Elizabeth A. Carlson</b></span></div>
<div class="ContentPasted0"><span style="font-size: 10pt;">von Karman Instructor in Computing and Mathematical Sciences</span></div>
<div class="ContentPasted0"><span style="font-size: 10pt;">California Institute of Technology</span></div>
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<div class="ContentPasted0">Please feel free to forward/share this invitation with other groups/disciplines that might be interested in this talk/topic.
<b>All are welcome to attend. </b> </div>
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<div class="ContentPasted0"><i>NOTE: In-person attendance is requested. Zoom access is intended for external (non-departmental) participants only.
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<div class="ContentPasted0"><b>https://fsu.zoom.us/j/94273595552 </b></div>
<div class="ContentPasted0">Meeting # <b>942 7359 5552 </b></div>
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<div class="ContentPasted0">🎦 Colloquium recordings will be made available here,
<a href="https://nam04.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.sc.fsu.edu%2Fcolloquium&data=05%7C02%7Csc-seminar-announce%40lists.fsu.edu%7C3791b9a604d546eb081c08dc479021aa%7Ca36450ebdb0642a78d1b026719f701e3%7C0%7C0%7C638463931556865272%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C0%7C%7C%7C&sdata=lbcnBT2%2FHAEAEIDMR6yvdsVYP%2F6bdAdhJ0HtFVv7f8g%3D&reserved=0" originalsrc="https://www.sc.fsu.edu/colloquium" shash="h9YujYG1dst+TLwd3lJfP7OSiH683Eup+f5x4FzSAWu8B9FQJKAqR617uRpC+hcH6bVFd0LOWq/CbG+U6HTTc7HRyYRw7BRjkFWmG093bjLv2hknTf3Qn0mDF53t1NUbNs3n7NVbQOQvDjThr5qU8KFPwpMgMjDBzJjyLu+HICU=">
https://www.sc.fsu.edu/colloquium</a> </div>
<div class="ContentPasted0"><b>Thursday, Mar 21</b>, 2024, Schedule: </div>
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<div class="ContentPasted0">* <b>3:00 to 3:30 PM</b> Eastern Time (US and Canada)
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<div class="ContentPasted0">☕ <b>Nespresso & Teatime</b> - 417 DSL Commons </div>
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<div class="ContentPasted0"><b>* 3:30 to 4:30 PM Eastern Time (US and Canada) </b>
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<div class="ContentPasted0"><b>🕟 Colloquium - 499 DSL Seminar Room </b></div>
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<div class="ContentPasted0"><b>Abstract: </b></div>
<div class="ContentPasted0 elementToProof">One of the challenges of the accurate simulation of turbulent flows is that initial data is often incomplete. Data assimilation circumvents this issue by continually incorporating the observed data into the model.
A continuous data assimilation approach known as the Azouani-Olson-Titi (AOT) algorithm introduced a feedback control term to the 2D incompressible Navier-Stokes equations (NSE) in order to incorporate sparse measurements. The solution to the AOT algorithm
applied to the 2D NSE was proven to converge exponentially to the true solution of the 2D NSE with respect to the given initial data. In this presentation, we will discuss history of data assimilation for different methods, with an emphasis on the continuous
data assimilation algorithm that was used to prove the convergence in the perfect data setting, present various robustness results of the continuous data assimilation algorithm, and discuss how continuous data assimilation can be used to identify and correct
model error. We will focus on the implementation of the AOT algorithm in the Model for Prediction Across Scales - Ocean model and present a proof of the convergence of a nonlinear version of the AOT algorithm in the setting of the 2D NSE, where for a portion
of time the convergence rate is proven to be double exponential.</div>
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<div>Additional colloquium details can be found here,<br>
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<div class="ContentPasted0 elementToProof"><a href="https://nam04.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.sc.fsu.edu%2Fnews-and-events%2Fcolloquium%2F1775-special-seminar-with-elizabeth-a-carlson-2024-03-21&data=05%7C02%7Csc-seminar-announce%40lists.fsu.edu%7C3791b9a604d546eb081c08dc479021aa%7Ca36450ebdb0642a78d1b026719f701e3%7C0%7C0%7C638463931556865272%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C0%7C%7C%7C&sdata=k0Qf0oym6nSwRoWSIItx6tFID4CRZykf9Hgu3Opd9jk%3D&reserved=0" originalsrc="https://www.sc.fsu.edu/news-and-events/colloquium/1775-special-seminar-with-elizabeth-a-carlson-2024-03-21" shash="H7mjf2ORP1BcPUUpLOrjtwt8fj+6XVSoAuJQRtkXI6WwOkxLwqe4BhIBXd5cWjogM/cyEMovig5c+7UN4lrCZlQnvmv3ic4YQJCNOdt2u6GgLU/1lVHjMA8oos7uM/gbHWZi/vq87YTMWIFikmqeKIJYMegZOkV+mRnrgRr5R98=" style="font-family: Tahoma, Geneva, sans-serif; font-size: 12pt;">https://www.sc.fsu.edu/news-and-events/colloquium/1775-special-seminar-with-elizabeth-a-carlson-2024-03-21</a></div>
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