A. Cohen

activity

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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Showing 2021Show all

2 papers · 1 filter

math.NA2021★ 38 cited

Optimal pointwise sampling for $L^{2}$ approximation

Albert Cohen, Matthieu Dolbeault

Given a function $u \in L^{2} = L^{2} (D, μ)$ , where $D \subset R^{d}$ and $μ$ is a measure on $D$ , and a linear subspace $V_{n} \subset L^{2}$ of dimension $n$ , we show that near-best appr…

math.NA2021

Near-optimal approximation methods for elliptic PDEs with lognormal coefficients

Albert Cohen, Giovanni Migliorati

This paper studies numerical methods for the approximation of elliptic PDEs with lognormal coefficients of the form $- div (a \nabla u) = f$ where $a = exp (b)$ and $b$ is a Gaussia…

Optimal pointwise sampling for L2 approximation

Near-optimal approximation methods for elliptic PDEs with lognormal coefficients

Optimal pointwise sampling for $L^{2}$ approximation