3 papers
math.NA2026
A deterministic multiple-shift lattice algorithm for function approximation in Korobov and half-period Cosine spaces
Jiarui Du, Josef Dick
Approximating multivariate periodic functions in weighted Korobov spaces via rank-1 lattices is fundamentally limited by frequency aliasing. Existing optimal-rate methods rely on r…
math.NA2026
A median QMC method for unbounded integrands over in weighted unanchored Sobolev spaces
Ziyang Ye, Josef Dick, Xiaoqun Wang
This paper investigates quasi-Monte Carlo (QMC) integration of Lebesgue integrable functions with respect to a density function over . We extend the construction-free…
math.NA2026
QMC integration based on arbitrary (t,m,s)-nets yields optimal convergence rates on several scales of function spaces
Michael Gnewuch, Josef Dick, Lev Markhasin +1
We study the integration problem over the -dimensional unit cube on four types of Banach spaces of integrands. First we consider Haar wavelet spaces, consisting of functions who…