Numerical computation of triangular complex spherical designs with small mesh ratio
DOI10.1016/j.cam.2022.114796zbMath1498.65038arXiv1907.13493OpenAlexW3080972994MaRDI QIDQ2095137
Hau-Tieng Wu, Robert S. Womersley, Yu Guang Wang, Wei-Hsuan Yu
Publication date: 9 November 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.13493
Optimal statistical designs (62K05) Numerical optimization and variational techniques (65K10) Length, area and volume in real or complex geometry (51M25) Numerical integration (65D30) Positive curvature complex manifolds (32Q10) Harmonic analysis of several complex variables (32A50) Complex spaces (32C15)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal asymptotic bounds for spherical designs
- Quasi-Monte Carlo rules for numerical integration over the unit sphere \({\mathbb{S}^2}\)
- Covering of spheres by spherical caps and worst-case error for equal weight cubature in Sobolev spaces
- Complex spherical codes with two inner products
- t-designs in projective spaces
- Computational existence proofs for spherical \(t\)-designs
- Design of computer experiments: space filling and beyond
- A partition of the unit sphere into regions of equal area and small diameter
- A variational characterisation of spherical designs
- A survey on spherical designs and algebraic combinatorics on spheres
- Tight 4 and 5-designs in projective spaces
- Spherical codes and designs
- Distributing many points on a sphere
- Statistics in industry
- Extremal systems of points and numerical integration on the sphere
- Optimal designs for regression with spherical data
- Minimal discrete energy on the sphere
- Spherical \((t,t)\)-designs with a small number of vectors
- Well-separated spherical designs
- Hyperuniform point sets on the sphere: deterministic aspects
- Statistical analysis on high-dimensional spheres and shape spaces
- ConceFT: concentration of frequency and time via a multitapered synchrosqueezed transform
- Well Conditioned Spherical Designs for Integration and Interpolation on the Two-Sphere
- Spectral multipliers for the Kohn sublaplacian on the sphere in $\mathbb{C}^{n}$
- QMC designs: Optimal order Quasi Monte Carlo integration schemes on the sphere
- $L^p$ Bernstein estimates and approximation by spherical basis functions
- Uniform Design: Theory and Application
- The Covering Radius of Randomly Distributed Points on a Manifold
- A Sharpening of the Welch Bounds and the Existence of Real and Complex Spherical $t$ –Designs
- Efficient Spherical Designs with Good Geometric Properties
- Spherical Designs and Nonconvex Minimization for Recovery of Sparse Signals on the Sphere
- Covering a sphere and extremal properties of orthogonal polynomials
- Sums of Distances Between Points on a Sphere. II
- Discrete Energy on Rectifiable Sets
- Quadrature rules and distribution of points on manifolds
- Random Point Sets on the Sphere—Hole Radii, Covering, and Separation
- Complex Spherical Designs and Codes
- Existence of Solutions to Systems of Underdetermined Equations and Spherical Designs
- Optimal Numerical Integration on a Sphere
This page was built for publication: Numerical computation of triangular complex spherical designs with small mesh ratio
