Stable approximation and interpolation with C1 quartic bivariate splines

O. Davydov; L.L. Schumaker

doi:10.1137/S0036142901384472

Stable approximation and interpolation with C1 quartic bivariate splines

O. Davydov, L.L. Schumaker

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We show how two recent algorithms for computing C1 quartic interpolating splines can be stabilized to ensure that, for smooth functions, they provide full approximation power with approximation constants depending only on the smallest angle in the triangulation.

Original language	English
Pages (from-to)	1732-1748
Number of pages	16
Journal	SIAM Journal on Numerical Analysis
Volume	39
Issue number	5
DOIs	https://doi.org/10.1137/S0036142901384472
Publication status	Published - 2002

Keywords

bivariate splines
scattered data interpolation
stable approximation
numerical analysis

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10.1137/S0036142901384472

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title = "Stable approximation and interpolation with C1 quartic bivariate splines",

abstract = "We show how two recent algorithms for computing C1 quartic interpolating splines can be stabilized to ensure that, for smooth functions, they provide full approximation power with approximation constants depending only on the smallest angle in the triangulation.",

keywords = "bivariate splines, scattered data interpolation, stable approximation, numerical analysis",

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AU - Schumaker, L.L.

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KW - bivariate splines

KW - scattered data interpolation

KW - stable approximation

KW - numerical analysis

UR - http://dx.doi.org/10.1137/S0036142901384472

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DO - 10.1137/S0036142901384472

M3 - Article

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JO - SIAM Journal on Numerical Analysis

JF - SIAM Journal on Numerical Analysis

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Stable approximation and interpolation with C1 quartic bivariate splines

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Keywords

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