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20232026
most citedMultivariate Newton Interpolation in Downward Closed Spaces Reaches the Optimal Geometric Approximation Rates for Bos--Levenberg--Trefethen Functions

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math.NA2023

Learning Partial Differential Equations by Spectral Approximates of General Sobolev Spaces

Juan-Esteban Suarez Cardona, Phil-Alexander Hofmann, Michael Hecht

We introduce a novel spectral, finite-dimensional approximation of general Sobolev spaces in terms of Chebyshev polynomials. Based on this polynomial surrogate model (PSM), we real…