25 citations · 25 across the 5 of their papers we have counts for
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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…
On the orthogonality of the Chebyshev-Frolov lattice and applications
Christopher Kacwin, Jens Oettershagen, Tino Ullrich
We deal with lattices that are generated by the Vandermonde matrices associated to the roots of Chebyshev-polynomials. If the dimension of the lattice is a power of two, i.e. $…
Optimal quasi-Monte Carlo rules on order 2 digital nets for the numerical integration of multivariate periodic functions
Aicke Hinrichs, Lev Markhasin, Jens Oettershagen +1
We investigate quasi-Monte Carlo rules for the numerical integration of multivariate periodic functions from Besov spaces with dominating mixed smoothnes…
Optimal point sets for quasi-Monte Carlo integration of bivariate periodic functions with bounded mixed derivatives
Aicke Hinrichs, Jens Oettershagen
We investigate quasi-Monte Carlo (QMC) integration of bivariate periodic functions with dominating mixed smoothness of order one. While there exist several QMC constructions which…