358 citations · 1k across the 16 of their papers we have counts for
6 papers · 1 filter
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…
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…
A Computational Study of a Data Assimilation Algorithm for the Two-dimensional Navier--Stokes Equations
Masakazu Gesho, Eric Olson, Edriss S. Titi
We study the numerical performance of a continuous data assimilation (downscaling) algorithm, based on ideas from feedback control theory, in the context of the two-dimensional inc…
Discrete Data Assimilation in the Lorenz and 2D Navier--Stokes Equations
Kevin Hayden, Eric Olson, Edriss S. Titi
Consider a continuous dynamical system for which partial information about its current state is observed at a sequence of discrete times. Discrete data assimilation inserts these o…