79 citations · 214 across the 17 of their papers we have counts for
3 papers · 2 filters
Multivariate Polynomial Regression of Euclidean Degree Extends the Stability for Fast Approximations of Trefethen Functions
Sachin K. Thekke Veettil, Yuxi Zheng, Uwe Hernandez Acosta +2
We address classic multivariate polynomial regression tasks from a novel perspective resting on the notion of general polynomial -degree, with total, Euclidean, and maximum de…
Global Polynomial Level Sets for Numerical Differential Geometry of Smooth Closed Surfaces
Sachin K. Thekke Veettil, Gentian Zavalani, Uwe Hernandez Acosta +2
We present a computational scheme that derives a global polynomial level set parametrisation for smooth closed surfaces from a regular surface-point set and prove its uniqueness. T…
Replacing Automatic Differentiation by Sobolev Cubatures fastens Physics Informed Neural Nets and strengthens their Approximation Power
Juan Esteban Suarez Cardona, Michael Hecht
We present a novel class of approximations for variational losses, being applicable for the training of physics-informed neural nets (PINNs). The loss formulation reflects classic…