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

Access to Document

10.1090/S0025-5718-2013-02734-2

Cite this

@article{67c663bcacff4da3b8cdee43d5636fd8,

title = "Two-stage approximation methods with extended B-splines",

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.",

keywords = "extended B-splines, Lipschitz domains",

author = "Oleg Davydov and Jennifer Prasiswa and Ulrich Reif",

year = "2013",

doi = "10.1090/S0025-5718-2013-02734-2",

language = "English",

volume = "n/a",

journal = "Mathematics of Computation",

issn = "0025-5718",

number = "n/a",

}

TY - JOUR

T1 - Two-stage approximation methods with extended B-splines

AU - Davydov, Oleg

AU - Prasiswa, Jennifer

AU - Reif, Ulrich

PY - 2013

Y1 - 2013

N2 - 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.

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.

KW - extended B-splines

KW - Lipschitz domains

UR - http://www.ams.org/journals/mcom/0000-000-00/S0025-5718-2013-02734-2/home.html

U2 - 10.1090/S0025-5718-2013-02734-2

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

M3 - Article

SN - 0025-5718

VL - n/a

JO - Mathematics of Computation

JF - Mathematics of Computation

IS - n/a

M1 - 02734-2

ER -

Two-stage approximation methods with extended B-splines

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this