Multivariate approximation at fake nodes
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Publication:2661022
DOI10.1016/j.amc.2020.125628zbMath1474.65022OpenAlexW3091780682MaRDI QIDQ2661022
D. Poggiali, Emma Perracchione, F. Marchetti, Stefano De Marchi
Publication date: 1 April 2021
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2020.125628
Gibbs phenomenonRunge phenomenonmultivariate polynomial interpolationkernel-based interpolationmapped bases
Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Algorithms for approximation of functions (65D15)
Related Items (12)
Polynomial mapped bases: theory and applications ⋮ Padua points and fake nodes for polynomial approximation: old, new and open problems ⋮ Constrained mock-Chebyshev least squares quadrature ⋮ On Kosloff Tal-Ezer least-squares quadrature formulas ⋮ More properties of \((\beta,\gamma)\)-Chebyshev functions and points ⋮ On \((\beta,\gamma)\)-Chebyshev functions and points of the interval ⋮ Polynomial interpolation via mapped bases without resampling ⋮ 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 ⋮ A linear barycentric rational interpolant on starlike domains ⋮ Mapped polynomials and discontinuous kernels for Runge and Gibbs phenomena ⋮ Stable interpolation with exponential-polynomial splines and node selection via greedy algorithms
Uses Software
Cites Work
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