358 citations · 1k across the 16 of their papers we have counts for
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math.DS2018
Spectral Filtering of Interpolant Observables for a Discrete-in-time Downscaling Data Assimilation Algorithm
Emine Celik, Eric Olson, Edriss S. Titi
We describe a spectrally-filtered discrete-in-time downscaling data assimilation algorithm and prove, in the context of the two-dimensional Navier--Stokes equations, that this algo…
math.AP2018
Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation
Michael S. Jolly, Vincent R. Martinez, Eric J. Olson +1
An intrinsic property of almost any physical measuring device is that it makes observations which are slightly blurred in time. We consider a nudging-based approach for data assimi…