Quadrature formulas for integration of multivariate trigonometric polynomials on spherical triangles

DOI10.1007/s13137-012-0035-4zbMath1258.65028OpenAlexW1995869945MaRDI QIDQ692136

M. C. Fu

Publication date: 4 December 2012

Published in: GEM - International Journal on Geomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13137-012-0035-4

zbMATH Keywords

algorithmnumerical integrationquadrature formulaunit spherespherical triangleexact quadrature rulemultivariate trigonometric polynomial

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (6)

Subperiodic trigonometric subsampling: A numerical approach ⋮ Lasso trigonometric polynomial approximation for periodic function recovery in equidistant points ⋮ Local numerical integration on the sphere ⋮ Polynomial approximation and quadrature on geographic rectangles ⋮ Applications of classical approximation theory to periodic basis function networks and computational harmonic analysis ⋮ Near-algebraic Tchakaloff-like quadrature on spherical triangles

Uses Software

• STRIPACK
• OPQ

Cites Work

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• Numerical integration with polynomial exactness over a spherical cap
• Spherical panel clustering and its numerical aspects
• Orthogonal polynomials (in Matlab)
• Local quadrature formulas on the sphere
• Spherical wavelet transform and its discretization
• Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature
• Matrix-free Interpolation on the Sphere
• Algorithm 772
• On Generating Orthogonal Polynomials
• Localized Linear Polynomial Operators and Quadrature Formulas on the Sphere

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