Numerical hyperinterpolation over spherical triangles

DOI10.1016/j.matcom.2021.05.003OpenAlexW3160696969MaRDI QIDQ2666214

Alvise Sommariva, Marco Vianello

Publication date: 22 November 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2021.05.003

zbMATH Keywords

orthogonal polynomialshyperinterpolationspherical trianglesalgebraic quadrature

Mathematics Subject Classification ID

Numerical analysis (65-XX) Special functions (33-XX)

Related Items (4)

Bypassing the quadrature exactness assumption of hyperinterpolation on the sphere ⋮ ARPIST: provably accurate and stable numerical integration over spherical triangles ⋮ On the quadrature exactness in hyperinterpolation ⋮ Near-optimal polynomial interpolation on spherical triangles

Uses Software

• Matlab
• dCATCH

Cites Work

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• Numerical integration with polynomial exactness over a spherical cap
• Local numerical integration on the sphere
• Minimal cubature rules and polynomial interpolation in two variables. II.
• New cubature formulae and hyperinterpolation in three variables
• A duality proof of Tchakaloff's theorem
• Polynomial interpolation and hyperinterpolation over general regions
• On hyperinterpolation on the unit ball
• Numerical hyperinterpolation over nonstandard planar regions
• Near-algebraic Tchakaloff-like quadrature on spherical triangles
• On the norm of the hyperinterpolation operator on the \(d\)-dimensional cube
• Algebraic cubature by linear blending of elliptical arcs
• On the norm of the hyperinterpolation operator on the unit disc and its use for the solution of the nonlinear Poisson equation
• Hyperinterpolation for Spectral Wave Propagation Models in Three Dimensions
• Caratheodory-Tchakaloff Subsampling

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