109 citations · 567 across the 25 of their papers we have counts for
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math.NA2014★ 13 cited
Spatial low-discrepancy sequences, spherical cone discrepancy, and applications in financial modeling
Johann S. Brauchart, Josef Dick, Lou Fang
In this paper we introduce a reproducing kernel Hilbert space defined on as the tensor product of a reproducing kernel defined on the unit sphere $\mathbb{S}^{d}…
math.NA2014★ 30 cited
Covering of spheres by spherical caps and worst-case error for equal weight cubature in Sobolev spaces
Johann S. Brauchart, Josef Dick, Edward B. Saff +3
We prove that the covering radius of an -point subset of the unit sphere is bounded above by a power of the worst-case error for equal weight cubatur…