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Title : Downscaling Data Assimilation Algorithm for Dissipative Evolution Models Employing Coarse Mesh Observables
Name of the speaker : Edriss S. Titi
Affiliation : Texas A&M University and The Weizmann Institute of Science
Laboratory organizer : LMD
Date and time : 05-07-2018 14h30
Location : Ecole Normale Supérieure, 24 rue Lhomond, salle E314
Summary :

One of the main characteristics of infinite-dimensional dissipative evolution equations, such as the Navier-Stokes equations and reaction-diffusion systems, is that their long-time dynamics is determined by finitely many parameters – finite number of determining modes, nodes, volume elements and other determining interpolants. In this talk I will show how to explore this finite-dimensional feature of the long-time behavior of infinite-dimensional dissipative systems to design nudging downscaling data assimilation algorithms for weather prediction based on discrete coarse mesh measurements. Moreover, I will also demonstrate uniform in time error estimates of the numerical discretization of these algorithms, which makes reliable upon implementation computationally. Furthermore, I will also present some recent results concerning a statistical version of these algorithms.

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