On convergence of flat multivariate interpolation by translation kernels with finite smoothness

DOI10.1007/s00365-014-9233-7zbMath1308.41001OpenAlexW1993622268MaRDI QIDQ485326

Jungho Yoon, Yeon Ju Lee, Charles A. Micchelli

Publication date: 9 January 2015

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-014-9233-7

zbMATH Keywords

interpolationmultivariate interpolationradial basis function

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items (9)

A RBF-WENO finite volume method for hyperbolic conservation laws with the monotone polynomial interpolation method ⋮ The Formulation of Finite Difference RBFWENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique ⋮ Worst-case optimal approximation with increasingly flat Gaussian kernels ⋮ Radial basis function ENO and WENO finite difference methods based on the optimization of shape parameters ⋮ Gaussian kernel quadrature at scaled Gauss-Hermite nodes ⋮ Radial basis function interpolation in the limit of increasingly flat basis functions ⋮ Adaptive radial basis function methods for initial value problems ⋮ A RBF-WENO finite difference scheme for non-linear degenerate parabolic equations ⋮ Equally spaced points are optimal for Brownian Bridge kernel interpolation

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