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

Oleg Davydov

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

Oleg Davydov

Mathematics And Statistics

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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

Original language	English
Title of host publication	Curve and surface fitting
Subtitle of host publication	Avignon 2006
Editors	Albert Cohen, Jean-Louis Merrien, Larry L. Schumaker
Place of Publication	U.S.A.
Pages	121-130
Number of pages	10
Publication status	Published - 2007

Keywords

interpolation
radial basis interpolation
growth function

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Rbf estimateSubmitted manuscript, 127 KB

http://www.nashboro.com/avignon.htm

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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",

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AB - 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

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BT - Curve and surface fitting

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A2 - Schumaker, Larry L.

CY - U.S.A.

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