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math.NA2025
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…
math.NA2023
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…
math.NA2020
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…