2 papers
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…
math.NA2016
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. $…