activity
20082023
most citedBouncing ball orbits and symmetry breaking effects in a three-dimensional chaotic billiard

9 citations · 11 across the 7 of their papers we have counts for

collaborators

8 papers

math.NA2023

Hybrid approach to the joint spectral radius computation

Thomas Mejstrik, Ulrich Reif

In this paper we propose a modification to the invariant polytope algorithm (ipa) using ideas of the finite expressible tree algorithm (feta) by Möller and Reif. We show that our n…

math.NA2023

Sobolev Regularity of Isogeometric Finite Element Spaces with Degenerate Geometry Map

Ulrich Reif

We investigate Sobolev regularity of bivariate functions obtained in Isogeometric Analysis when using geometry maps that are degenerate in the sense that the first partial derivati…

cs.CG2022★ 2 cited

Surface Patches with Rounded Corners

Benjamin Marussig, Ulrich Reif

We analyze surface patches with a corner that is rounded in the sense that the partial derivatives at that point are antiparallel. Sufficient conditions for smoothness are gi…

math.ST2021

Estimation of a regression function on a manifold by fully connected deep neural networks

Michael Kohler, Sophie Langer, Ulrich Reif

Estimation of a regression function from independent and identically distributed data is considered. The error with integration with respect to the distribution of the predic…

cs.GR2020

Trimmed Spline Surfaces with Accurate Boundary Control

Florian Martin, Ulrich Reif

We introduce trimmed NURBS surfaces with accurate boundary control, briefly called ABC-surfaces, as a solution to the notorious problem of constructing watertight or smooth (…

math.NA2020

Clothoid Fitting and Geometric Hermite Subdivision

Ulrich Reif, Andreas Weinmann

We consider geometric Hermite subdivision for planar curves, i.e., iteratively refining an input polygon with additional tangent or normal vector information sitting in the vertice…