Numerical hyperinterpolation over nonstandard planar regions

DOI10.1016/j.matcom.2016.07.009OpenAlexW2476433705MaRDI QIDQ2229119

Marco Vianello, Alvise Sommariva

Publication date: 19 February 2021

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

Full work available at URL: http://hdl.handle.net/11577/3240735

zbMATH Keywords

hyperinterpolationmultivariate orthogonal polynomialsnonstandard planar regionspositive cubature

Mathematics Subject Classification ID

Numerical analysis (65-XX) Approximations and expansions (41-XX)

Related Items (3)

Numerical hyperinterpolation over spherical triangles ⋮ An arbitrarily high order unfitted finite element method for elliptic interface problems with automatic mesh generation ⋮ Subperiodic Trigonometric Hyperinterpolation

Uses Software

• Matlab
• OPQ
• MOPS
• Polygint
• dCATCH
• SRJAC

Cites Work

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• Subperiodic trigonometric interpolation and quadrature
• Numerical integration with polynomial exactness over a spherical cap
• Polynomial interpolation and cubature over polygons
• Spherical harmonics and approximations on the unit sphere. An introduction
• Sub-range Jacobi polynomials
• On generating discrete orthogonal bivariate polynomials
• A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions
• Product Gauss cubature over polygons based on Green's integration formula
• New cubature formulae and hyperinterpolation in three variables
• Multivariate Jackson inequality
• Polynomial interpolation and hyperinterpolation over general regions
• A method to compute recurrence relation coefficients for bivariate orthogonal polynomials by unitary matrix transformations
• Gauss-Green cubature and moment computation over arbitrary geometries
• Trigonometric Gaussian quadrature on subintervals of the period
• Algebraic cubature by linear blending of elliptical arcs
• MOPS: multivariate orthogonal polynomials (symbolically)
• Rounding error analysis of the classical Gram-Schmidt orthogonalization process
• Computing Multivariate Fekete and Leja Points by Numerical Linear Algebra
• Compression of Multivariate Discrete Measures and Applications
• On the norm of the hyperinterpolation operator on the unit disc and its use for the solution of the nonlinear Poisson equation
• Orthogonal Polynomials on the Hexagon
• Product Gaussian Quadrature on Circular Lunes
• A Cardinal Function Algorithm for Computing Multivariate Quadrature Points

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