Two-stage approximation methods with extended B-splines

Oleg Davydov; Jennifer Prasiswa; Ulrich Reif

doi:10.1090/S0025-5718-2013-02734-2

Two-stage approximation methods with extended B-splines

Oleg Davydov, Jennifer Prasiswa, Ulrich Reif

Mathematics And Statistics

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

3 Citations (Scopus)

Abstract

We develop and analyze a framework for two-stage methods with EB-splines, applicable to continuous and discrete approximation problems. In particular, we propose a weighted discrete least squares fit that yields optimal convergence rates for sufficiently dense data on Lipschitz domains in Rd.

Original language	English
Article number	02734-2
Journal	Mathematics of Computation
Volume	n/a
Issue number	n/a
Early online date	10 Jul 2013
DOIs	https://doi.org/10.1090/S0025-5718-2013-02734-2
Publication status	Published - 2013

Keywords

extended B-splines
Lipschitz domains

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10.1090/S0025-5718-2013-02734-2

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AU - Prasiswa, Jennifer

AU - Reif, Ulrich

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AB - We develop and analyze a framework for two-stage methods with EB-splines, applicable to continuous and discrete approximation problems. In particular, we propose a weighted discrete least squares fit that yields optimal convergence rates for sufficiently dense data on Lipschitz domains in Rd.

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KW - Lipschitz domains

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DO - 10.1090/S0025-5718-2013-02734-2

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JF - Mathematics of Computation

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Two-stage approximation methods with extended B-splines

Abstract

Keywords

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