R. Womersley

activity

20122024

most citedQMC designs: optimal order Quasi Monte Carlo Integration schemes on the sphere

97 citations · 163 across the 13 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.NA2017★ 1 cited

Efficient Spherical Designs with Good Geometric Properties

Robert S. Womersley

Spherical $t$ -designs on $S^{d} \subset R^{d + 1}$ provide $N$ nodes for an equal weight numerical integration rule which is exact for all spherical polynomials of de…

math-ph2017

Logarithmic and Riesz Equilibrium for Multiple Sources on the Sphere --- the Exceptional Case

Johann S. Brauchart, Peter D. Dragnev, Edward B. Saff +1

We consider the minimal discrete and continuous energy problems on the unit sphere $S^{d}$ in the Euclidean space $R^{d + 1}$ in the presence of an external field due…