3 papers
math.NA2019
On the fixed volume discrepancy of the Fibonacci sets in the integral norms
Vladimir Temlyakov, Mario Ullrich
This paper is devoted to the study of a discrepancy-type characteristic -- the fixed volume discrepancy -- of the Fibonacci point set in the unit square. It was observed recently t…
math.NT2018
On a multi-dimensional Poissonian pair correlation concept and uniform distribution
Aicke Hinrichs, Lisa Kaltenböck, Gerhard Larcher +2
The aim of the present article is to introduce a concept which allows to generalise the notion of Poissonian pair correlation, a second-order equidistribution property, to higher d…
math.NA2018
Numerical performance of optimized Frolov lattices in tensor product reproducing kernel Sobolev spaces
Christopher Kacwin, Jens Oettershagen, Mario Ullrich +1
In this paper, we deal with several aspects of the universal Frolov cubature method, that is known to achieve optimal asymptotic convergence rates in a broad range of function spac…