Approximation on non-tensor domains including squircles. III: Polynomial hyperinterpolation and radial basis function interpolation on Chebyshev-like grids and truncated uniform grids
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Publication:728801
DOI10.1016/j.jcp.2014.10.035zbMath1352.65036OpenAlexW2463876849MaRDI QIDQ728801
Publication date: 20 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2014.10.035
Chebyshev polynomialsdihedral groupradial basis functionsgroup theoryhyperinterpolationpseudospectralZernike polynomials\(D_4\)
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Tensor solutions in irregular domains: eigenvalue problems ⋮ A new constructive and elementary proof of a Bernstein-Walsh theorem, improved to infinite order convergence, for functions \(C^\infty\) in an intricate but smooth two-dimensional real domain
Cites Work
- Unnamed Item
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- Symmetrizing grids, radial basis functions, and Chebyshev and Zernike polynomials for the \(D_4\) symmetry group; interpolation within a squircle. I
- Six strategies for defeating the Runge phenomenon in Gaussian radial basis functions on a finite interval
- Bounds for polynomials with a unit discrete norm
- Divergence (Runge phenomenon) for least-squares polynomial approximation on an equispaced grid and mock-Chebyshev subset interpolation
- Large-degree asymptotics and exponential asymptotics for Fourier, Chebyshev and Hermite coefficients and Fourier transforms
- Symmetry, groups, and boundary value problems. A progressive introduction to noncommutative harmonic analysis of partial differential equations in domains with geometrical symmetry
- Spectral methods for multi-dimensional diffusion problems
- Spectral methods for problems in complex geometries
- Superellipse fitting to partial data
- A comparison of numerical algorithms for Fourier extension of the first, second, and third kinds
- Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary
- Observations on the behavior of radial basis function approximations near boundaries
- Polynomial interpolation and hyperinterpolation over general regions
- Radial basis function approximation methods with extended precision floating point arithmetic
- Numerical aspects for free vibration of thick plates. I: Formulation and verification. II: Numerical efficiency and vibration frequencies
- Stable high-order quadrature rules with equidistant points
- On the resolution power of Fourier extensions for oscillatory functions
- Stable Evaluation of Gaussian Radial Basis Function Interpolants
- Kernel techniques: From machine learning to meshless methods
- A Stable Algorithm for Flat Radial Basis Functions on a Sphere
- Implicit representation of parametric curves and surfaces
- Orthogonal Polynomials on the Hexagon
- Boundary Value Problems with Symmetry and Their Approximation by Finite Elements
- Radial Basis Functions
- Comparisons between pseudospectral and radial basis function derivative approximations
- Lamé Ovals
- Scattered Data Approximation
- Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions
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