Quadrature rules with neighborhood of spherical designs on the two-sphere

DOI10.1016/j.amc.2019.124769zbMath1433.65038OpenAlexW2979263243MaRDI QIDQ2284795

Yang Zhou

Publication date: 15 January 2020

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.124769

zbMATH Keywords

linear programmingspherical designsquadrature rulesperturbation boundstwo-sphere

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Approximation by polynomials (41A10) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Related Items (1)

Continuous regularized least squares polynomial approximation on the sphere

Cites Work

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• A smoothing trust region filter algorithm for nonsmooth least squares problems
• Optimal asymptotic bounds for spherical designs
• Computational existence proofs for spherical \(t\)-designs
• On the computation of spherical designs by a new optimization approach based on fast spherical Fourier transforms
• Spherical harmonics and approximations on the unit sphere. An introduction
• A variational characterisation of spherical designs
• A survey on spherical designs and algebraic combinatorics on spheres
• Averaging sets: A generalization of mean values and spherical designs
• Construction of spherical \(t\)-designs
• Spherical codes and designs
• Some perturbation theory for linear programming
• McLaren's improved snub cube and other new spherical designs in three dimensions
• Remarks on the concepts of \(t\)-designs
• Regularized Least Squares Approximations on the Sphere Using Spherical Designs
• Minimizing the Condition Number of a Gram Matrix
• Well Conditioned Spherical Designs for Integration and Interpolation on the Two-Sphere
• Spherical $t_\epsilon $-designs for approximations on the sphere
• Spherical Designs, Discrepancy and Numerical Integration
• Spherical faraday cage for the case of equal point charges and chebyshev-type quadrature on the sphere
• Incorporating Condition Measures into the Complexity Theory of Linear Programming
• Existence of Solutions to Systems of Underdetermined Equations and Spherical Designs
• On tight spherical designs

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