Hyper2d: A numerical code for hyperinterpolation on rectangles
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Publication:865562
DOI10.1016/j.amc.2006.05.129zbMath1105.65307OpenAlexW2121435584MaRDI QIDQ865562
Roberto Montagna, Marco Vianello, Stefano De Marchi, Marco Caliari
Publication date: 19 February 2007
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.129
numerical examplespolynomial approximationLebesgue constantminimal cubaturebivariate hyperinterpolationMorrow-Patterson-Xu points
Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)
Related Items
Bivariate Lagrange interpolation at the node points of non-degenerate Lissajous curves ⋮ On the norm of the hyperinterpolation operator on the \(d\)-dimensional cube ⋮ Hyper2d: A numerical code for hyperinterpolation on rectangles ⋮ Hyperinterpolation in the cube ⋮ On the norm of the hyperinterpolation operator on the unit ball ⋮ Nontensorial Clenshaw-Curtis cubature ⋮ New cubature formulae and hyperinterpolation in three variables ⋮ Hyper2d
Uses Software
Cites Work
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- A numerical study of the xu polynomial interpolation formula in two variables
- Hyper2d: A numerical code for hyperinterpolation on rectangles
- Bivariate interpolation at Xu points: results, extensions and applications
- Lagrange interpolation on Chebyshev points of two variables
- Multivariate polynomial approximation
- Bivariate polynomial interpolation on the square at new nodal sets
- Polynomial interpolation and hyperinterpolation over general regions
- Hyperinterpolation on the square
- On the Lebesgue constant for the Xu interpolation formula
- Scattered Data Interpolation: Tests of Some Method
- Construction of Algebraic Cubature Rules Using Polynomial Ideal Theory
- Algorithm 792
- An Extension of MATLAB to Continuous Functions and Operators
