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Spectral Limitations of Quadrature Rules and Generalized Spherical Designs

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Publication:5028240
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DOI10.1093/imrn/rnz176zbMath1482.58017arXiv1708.08736OpenAlexW2969309285MaRDI QIDQ5028240

Stefan Steinerberger

Publication date: 8 February 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.08736


zbMATH Keywords

spherical designsquadrature rules


Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Other designs, configurations (05B30)


Related Items (7)

On a sharp lemma of Cassels and Montgomery on manifolds ⋮ Lower bounds for the directional discrepancy with respect to an interval of rotations ⋮ General and refined Montgomery lemmata ⋮ On the logarithmic energy of points on \(\mathbb{S}^2\) ⋮ Optimal asymptotic bounds for designs on manifolds ⋮ Quadrature points via heat kernel repulsion ⋮ Numerical integration on graphs: Where to sample and how to weigh







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