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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.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…