4 papers
Tent transformed order nets and quasi-Monte Carlo rules with quadratic error decay
Bernd Käßemodel, Nicolas Nagel, Tino Ullrich
We investigate the use of order digital nets for quasi-Monte Carlo quadrature of nonperiodic functions with bounded mixed second derivative over the cube. By using the so-calle…
Efficient recovery of non-periodic multivariate functions from few scattered samples
Felix Bartel, Kai Lüttgen, Nicolas Nagel +1
It has been observed by several authors that well-known periodization strategies like tent or Chebychev transforms lead to remarkable results for the recovery of multivariate funct…
Notes on the Union Closed Sets Conjecture
Nicolas Nagel
The Union Closed Sets Conjecture states that in every finite, nontrivial set family closed under taking unions there is an element contained in at least half of all the sets of the…
A new upper bound for sampling numbers
Nicolas Nagel, Martin Schäfer, Tino Ullrich
We provide a new upper bound for sampling numbers associated to the compact embedding of a separable reproducing kernel Hilbert space into the space of sq…