Nudging is an important data assimilation technique where partial field measurements are
used to control the evolution of a dynamical system and/or to reconstruct the entire phase …

We adapt a previously introduced continuous in time data assimilation (downscaling)
algorithm for the two-dimensional Navier--Stokes equations to the more realistic case when …

We study the applicability of tools developed by the computer vision community for feature
learning and semantic image inpainting to perform data reconstruction of fluid turbulence …

We present a computational study of a simple finite-dimensional feedback control algorithm
for stabilizing solutions of infinite-dimensional dissipative evolution equations such as …

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 …

We consider a recently introduced continuous data assimilation (CDA) approach for
downscaling a coarse resolution configuration of the 2D Bénard convection equations into a …

Motivated by recent progress in data assimilation, we develop an algorithm to dynamically
learn the parameters of a chaotic system from partial observations. Under reasonable …

We study a continuous data assimilation algorithm proposed by Azouani, Olson, and Titi
(AOT) in the context of an unknown viscosity. We determine the large-time error between the …

In this paper we propose a continuous data assimilation (downscaling) algorithm for the
Bénard convection in porous media using only discrete spatial-mesh measurements of the …

Analyzing the validity and success of a data assimilation algorithmwhen some state variable
observations are not available is an important problem in meteorology and engineering. We …