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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math.NA2012★ 97 cited

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

Johann S. Brauchart, Edward B. Saff, Ian H. Sloan +1

We study equal weight numerical integration, or Quasi Monte Carlo (QMC) rules, for functions in a Sobolev space $H^{s} (S^{d})$ with smoothness parameter $s > d /2$ defined over the unit s…

math.NA2012★ 1 cited

Wendland functions with increasing smoothness converge to a Gaussian

A. Chernih, I. H. Sloan, R. S. Womersley

The Wendland functions are a class of compactly supported radial basis functions with a user-specified smoothness parameter. We prove that with a linear change of variables, both t…