Radial basis interpolation on homogeneous manifolds: convergence rates

Autor:	Jeremy Levesley, David L. Ragozin
Rok vydání:	2007
Předmět:	Pointwise Computational Mathematics Homogeneous manifolds Positive-definite kernel Euclidean space Applied Mathematics Mathematical analysis Tangent space Computational Science and Engineering Radial basis function Mathematics Interpolation
Zdroj:	Advances in Computational Mathematics. 27:237-246
ISSN:	1572-9044 1019-7168
DOI:	10.1007/s10444-005-9000-1
Popis:	Pointwise error estimates for approximation on compact homogeneous manifolds using radial kernels are presented. For a \({\mathcal C}^{2r}\) positive definite kernel κ the pointwise error at x for interpolation by translates of κ goes to 0 like ρr, where ρ is the density of the interpolating set on a fixed neighbourhood of x. Tangent space techniques are used to lift the problem from the manifold to Euclidean space, where methods for proving such error estimates are well established.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9081461f18d21fa73c69d420e9ff4fa4 https://doi.org/10.1007/s10444-005-9000-1 Zobrazit plný text záznamu Full text from SpringerLink