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20102024
most citedOptimal quasi-Monte Carlo rules on order 2 digital nets for the numerical integration of multivariate periodic functions

25 citations · 135 across the 12 of their papers we have counts for

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math.NA2024

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…