Padua points and fake nodes for polynomial approximation: old, new and open problems
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Publication:5078980
DOI10.33205/cma.1070020zbMath1499.41099OpenAlexW4220899811MaRDI QIDQ5078980
Publication date: 25 May 2022
Published in: Constructive Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.33205/cma.1070020
Uses Software
Cites Work
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- On Koornwinder classical orthogonal polynomials in two variables
- On the Lebesgue constant of barycentric rational interpolation at equidistant nodes
- \texttt{Padua2DM}: Fast interpolation and cubature at the Padua points in \texttt{MATLAB/Octave}
- Radial orthogonality and Lebesgue constants on the disk
- Least-squares polynomial approximation on weakly admissible meshes: Disk and triangle
- A numerical study of the xu polynomial interpolation formula in two variables
- On the calculation of approximate fekete points: the univariate case
- Bivariate Lagrange interpolation at the Padua points: the generating curve approach
- Uniform approximation by discrete least squares polynomials
- Bivariate Lagrange interpolation at the Padua points: Computational aspects
- Computing approximate Fekete points by QR factorizations of Vandermonde matrices
- Polymorphic nodal elements and their application in discontinuous Galerkin methods
- Nontensorial Clenshaw-Curtis cubature
- On certain configurations of points in \(\mathbb{R}{}^ n\) which are unisolvent for polynomial interpolation
- A modified Chebyshev pseudospectral method with an \(O(N^{-1})\) time step restriction
- Fast Leja points
- Extremal systems of points and numerical integration on the sphere
- Edge detection methods based on RBF interpolation
- Near-optimal data-independent point locations for radial basis function interpolation
- Bivariate polynomial interpolation on the square at new nodal sets
- Christoffel functions and Fourier series for multivariate orthogonal polynomials
- The theory of multi-dimensional polynomial approximation
- The collocation solution of Poisson problems based on approximate Fekete points
- Generalizations of the constrained mock-Chebyshev least squares in two variables: tensor product vs total degree polynomial interpolation
- Stable discontinuous mapped bases: the Gibbs-Runge-avoiding stable polynomial approximation (GRASPA) method
- Treating the Gibbs phenomenon in barycentric rational interpolation and approximation via the S-Gibbs algorithm
- Polynomial interpolation via mapped bases without resampling
- On certain multivariate Vandermonde determinants whose variables separate
- Bivariate Lagrange interpolation at the Padua points: The ideal theory approach
- On Leja sequences: some results and applications
- Barycentric-Remez algorithms for best polynomial approximation in the chebfun system
- Multivariate approximation at fake nodes
- An Algorithm for Computing Fekete Points in the Triangle
- Tensor product Gauss-Lobatto points are Fekete points for the cube
- Weakly Admissible Meshes and Discrete Extremal Sets
- Kernel-based Approximation Methods using MATLAB
- Computing Multivariate Fekete and Leja Points by Numerical Linear Algebra
- Geometric weakly admissible meshes, discrete least squares approximations and approximate Fekete points
- On Lattices Admitting Unique Lagrange Interpolations
- Construction of Algebraic Cubature Rules Using Polynomial Ideal Theory
- Radial Basis Functions
- The numerical stability of barycentric Lagrange interpolation
- Shape-Driven Interpolation With Discontinuous Kernels: Error Analysis, Edge Extraction, and Applications in Magnetic Particle Imaging
- Polynomial Fitting for Edge Detection in Irregularly Sampled Signals and Images
- A Mapped Polynomial Method for High-Accuracy Approximations on Arbitrary Grids
- Scattered Data Approximation
- Optimal systems of nodes for Lagrange interpolation on bounded intervals. A survey
- A practical guide to splines.
