53 citations · 640 across the 36 of their papers we have counts for
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math.NA2015★ 2 cited
Complexity of Oscillatory Integrals on the Real Line
Erich Novak, Mario Ullrich, Henryk Woźniakowski +1
We analyze univariate oscillatory integrals defined on the real line for functions from the standard Sobolev space and from the space with a…
math.NA2015★ 33 cited
Change of variable in spaces of mixed smoothness and numerical integration of multivariate functions on the unit cube
Van Kien Nguyen, Mario Ullrich, Tino Ullrich
In a recent article by two of the present authors it turned out that Frolov's cubature formulae are optimal and universal for various settings (Besov-Triebel-Lizorkin spaces) of fu…
math.NA2015★ 42 cited
The role of Frolov's cubature formula for functions with bounded mixed derivative
Mario Ullrich, Tino Ullrich
We prove upper bounds on the order of convergence of Frolov's cubature formula for numerical integration in function spaces of dominating mixed smoothness on the unit cube with hom…