358 citations · 1k across the 16 of their papers we have counts for
19 papers
Data Assimilation using Time-Delay Nudging in the Presence of Gaussian Noise
Emine Celik, Eric Olson
We study a discrete-in-time data-assimilation algorithm based on nudging through a time-delayed feedback control in which the observational measurements have been contaminated by a…
On the Assouad dimension of differences of self-similar fractals
Alexandros Margaris, Eric J. Olson, James C. Robinson
If is a set with finite Assouad dimension, it is known that the Assouad dimension of does not necessarily obey any non-trivial bound in terms of the Assouad dimension of…
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…
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…
Continuity of pullback and uniform attractors
Luan T. Hoang, Eric J. Olson, James C. Robinson
We study the continuity of pullback and uniform attractors for non-autonomous dynamical systems with respect to perturbations of a parameter. Consider a family of dynamical systems…
Stochastic model error in the LANS-alpha and NS-alpha deconvolution models of turbulence
Eric Olson
This paper reports on a computational study of the model error in the LANS-alpha and NS-alpha deconvolution models of homogeneous isotropic turbulence. The focus is on how well the…