A. Cohen

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20082023

most citedApproximation and learning by greedy algorithms

323 citations · 420 across the 20 of their papers we have counts for

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4 papers · 1 filter

math.AP2023

Reduced order modeling for elliptic problems with high contrast diffusion coefficients

Albert Cohen, Matthieu Dolbeault, Agustin Somacal +1

We consider the parametric elliptic PDE $- div (a (y) \nabla u) = f$ on a spatial domain $Ω$ , with $a (y)$ a scalar piecewise constant diffusion coefficient taking any positive val…

math.AP2016

Diffusion Coefficients Estimation for Elliptic Partial Differential Equations

Andrea Bonito, Albert Cohen, Ronald DeVore +2

This paper considers the Dirichlet problem $- div (a \nabla u_{a}) = f on D, u_{a} = 0 on \partial D,$ for a Lipschitz domain $D\subset \m…

math.AP2015

Approximation of high-dimensional parametric PDEs

Albert Cohen, Ronald Devore

Parametrized families of PDEs arise in various contexts such as inverse problems, control and optimization, risk assessment, and uncertainty quantification. In most of these applic…

math.AP2015

Kolmogorov widths under holomorphic mappings

Albert Cohen, Ronald Devore

If $L$ is a bounded linear operator mapping the Banach space $X$ into the Banach space $Y$ and $K$ is a compact set in $X$ , then the Kolmogorov widths of the image $L (K)$ do not ex…