A note on stability results for scattered data interpolation on Euclidean spheres
DOI10.1007/s10444-008-9069-4zbMath1165.65006OpenAlexW2051014211MaRDI QIDQ1016133
Publication date: 4 May 2009
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-008-9069-4
stabilitynumerical resultseigenvaluesspheresseparation distancespherical polynomialspolynomial interpolationzonal functionslocalized polynomials
Numerical interpolation (65D05) Numerical methods for discrete and fast Fourier transforms (65T50) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10) Spherical harmonics (33C55)
Related Items (5)
Cites Work
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- Polynomial operators and local smoothness classes on the unit interval
- On separation of minimal Riesz energy points on spheres in Euclidean spaces
- Stability results for scattered-data interpolation on Euclidean spheres
- Eigenvalues of euclidean distance matrices
- Distributing many points on a sphere
- Multivariate polynomial approximation
- On the detection of singularities of a periodic function
- Efficient reconstruction of functions on the sphere from scattered data
- Localized polynomial frames on the ball
- Spherical harmonics
- Norms of inverses and condition numbers for matrices associated with scattered data
- Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature
- A Fast Algorithm for the Evaluation of Legendre Expansions
- Localized Tight Frames on Spheres
- Stability Results for Scattered Data Interpolation by Trigonometric Polynomials
- Fast algorithms for discrete polynomial transforms
- Norm estimates of interpolation matrices and their inverses associated with strictly positive definite functions
- Fast Discrete Polynomial Transforms with Applications to Data Analysis for Distance Transitive Graphs
- Random Sampling of Multivariate Trigonometric Polynomials
- Scattered Data Interpolation on Spheres: Error Estimates and Locally Supported Basis Functions
- Polynomial approximation on the sphere using scattered data
- Scattered Data Approximation
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