358 citations · 3.8k across the 153 of their papers we have counts for
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Uniform in time error estimates for a finite element method applied to a downscaling data assimilation algorithm for the Navier-Stokes equations
García-Archilla, Julia Novo, Edriss S. Titi
In this paper we analyze a finite element method applied to a continuous downscaling data assimilation algorithm for the numerical approximation of the two and three dimensional Na…
Uniform in time error estimates for fully discrete numerical schemes of a data assimilation algorithm
Hussain A. Ibdah, Cecilia F. Mondaini, Edriss S. Titi
We consider fully discrete numerical schemes for a downscaling data assimilation algorithm aimed at approximating the velocity field of the 2D Navier-Stokes equations corresponding…
Postprocessing Galerkin method applied to a data assimilation algorithm: a uniform in time error estimate
Cecilia F. Mondaini, Edriss S. Titi
We apply the Postprocessing Galerkin method to a recently introduced continuous data assimilation (downscaling) algorithm for obtaining a numerical approximation of the solution of…
Analysis and Computation of a Discrete KdV-Burgers Type Equation with Fast Dispersion and Slow Diffusion
Zvi Artstein, C. William Gear, Ioannis G. Kevrekidis +2
The long time behavior of the dynamics of a fast-slow system of ordinary differential equations is examined. The system is derived from a spatial discretization of a Korteweg-de Vr…
A Posteriori Regularity of the Three-dimensional Navier-Stokes Equations from Numerical Computations
Sergei I. Chernyshenko, Peter Constantin, James C. Robinson +1
In this paper we consider the rôle that numerical computations -- in particular Galerkin approximations -- can play in problems modelled by the 3d Navier-Stokes equations, for whic…