Numerical computation of triangular complex spherical designs with small mesh ratio

Yu Guang Wang, Robert S. Womersley, Hau Tieng Wu, Wei Hsuan Yu

Research output: Contribution to journalArticlepeer-review

Abstract

This paper provides triangular spherical designs for the complex unit sphere Ωd⊂ℂd by exploiting the natural correspondence with the real unit sphere S2d−1⊂R2d. A variational characterization of triangular complex designs is provided, with particular emphasis on numerical computation of efficient triangular complex designs with good geometric properties as measured by their mesh ratio. We give numerical examples of triangular spherical t-designs on complex unit spheres of dimension d=2 to 6.

Original languageEnglish (US)
Article number114796
JournalJournal of Computational and Applied Mathematics
Volume421
DOIs
StatePublished - Mar 15 2023

Keywords

  • Complex designs
  • Numerical integration
  • Quasi-uniform
  • Spherical designs
  • Uniform distribution

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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