Learning Partial Differential Equations by Spectral Approximates of General Sobolev Spaces. - Juan Esteban Suarez Cardona; Phil-Alexander Hofmann; Michael Hecht (CoRR, 2023)

Negative order sobolev cubatures: preconditioners of partial differential equation learning tasks circumventing numerical stiffness. - Juan Esteban Suarez Cardona; Phil-Alexander Hofmann; Michael Hecht (Mach. Learn. Sci. Technol., 2024)

Multivariate Newton Interpolation in Downward Closed Spaces Reaches the Optimal Geometric Approximation Rates for Bos-Levenberg-Trefethen Functions. - Michael Hecht; Phil-Alexander Hofmann; Damar Wicaksono; Uwe Hernandez Acosta; Krzysztof Gonciarz; Jannik Kissinger; Vladimir Sivkin; Ivo F. Sbalzarini (CoRR, 2025)

Fast Newton Transform: Interpolation in Downward Closed Polynomial Spaces. - Phil-Alexander Hofmann; Damar Wicaksono; Michael Hecht (CoRR, 2025)

Interpolation in Polynomial Spaces of p-Degree. - Phil-Alexander Hofmann; Damar Wicaksono; Michael Hecht (CoRR, 2025)