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Error bound for radial basis interpolation in terms of a growth function

Davydov, Oleg (2007) Error bound for radial basis interpolation in terms of a growth function. In: Curve and surface fitting. Nashboro Press, Brentwood, U.S.A., pp. 121-130. ISBN 978-0-9728482-8-2

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Abstract

We suggest an improvement of Wu-Schaback local error bound for radial basis interpolation by using a polynomial growth function. The new bound is valid without any assumptions about the density of the interpolation centers. It can be useful for the localized methods of scattered data fitting and for the meshless discretization of partial differential equations