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Integro-Differential Splines of Two Variables. / Burova, I. G.; Poluyanov, S. V.; Shirokova, Iu. V.

In: WSEAS Transactions on Mathematics, Vol. 14, 2015, p. 345-352.

Research output: Contribution to journal › Article

Harvard

Burova, IG, Poluyanov, SV & Shirokova, IV 2015, 'Integro-Differential Splines of Two Variables', WSEAS Transactions on Mathematics, vol. 14, pp. 345-352. <http://wseas.org/wseas/cms.action?id=10188>

APA

Burova, I. G., Poluyanov, S. V., & Shirokova, I. V. (2015). Integro-Differential Splines of Two Variables. WSEAS Transactions on Mathematics, 14, 345-352. http://wseas.org/wseas/cms.action?id=10188

Vancouver

Burova IG, Poluyanov SV, Shirokova IV. Integro-Differential Splines of Two Variables. WSEAS Transactions on Mathematics. 2015;14:345-352.

Author

Burova, I. G. ; Poluyanov, S. V. ; Shirokova, Iu. V. / Integro-Differential Splines of Two Variables. In: WSEAS Transactions on Mathematics. 2015 ; Vol. 14. pp. 345-352.

BibTeX

@article{2518c1f1027f496385f2ba1d13996a4b,
title = "Integro-Differential Splines of Two Variables",
abstract = "Here we construct the basic splines of two variables which can be used for approximation functions. The approximation can be constructed in every elementary rectangular separately if the values of the function in nodes and the values of the integrals over elementary rectangles are known. The purpose of the article is to describe representation of surfaces using the local basic splines of two variables. We discuss the construction of surfaces with given accuracy. As a result we present examples and suggest directions for further investigations.",
keywords = "Polynomial splines, Exponential splines, Integro-Differential Splines, Interpolation",
author = "Burova, {I. G.} and Poluyanov, {S. V.} and Shirokova, {Iu. V.}",
year = "2015",
language = "English",
volume = "14",
pages = "345--352",
journal = "WSEAS Transactions on Mathematics",
issn = "1109-2769",
publisher = "WORLD SCIENTIFIC PUBL CO PTE LTD",

}

RIS

TY - JOUR

T1 - Integro-Differential Splines of Two Variables

AU - Burova, I. G.

AU - Poluyanov, S. V.

AU - Shirokova, Iu. V.

PY - 2015

Y1 - 2015

N2 - Here we construct the basic splines of two variables which can be used for approximation functions. The approximation can be constructed in every elementary rectangular separately if the values of the function in nodes and the values of the integrals over elementary rectangles are known. The purpose of the article is to describe representation of surfaces using the local basic splines of two variables. We discuss the construction of surfaces with given accuracy. As a result we present examples and suggest directions for further investigations.

AB - Here we construct the basic splines of two variables which can be used for approximation functions. The approximation can be constructed in every elementary rectangular separately if the values of the function in nodes and the values of the integrals over elementary rectangles are known. The purpose of the article is to describe representation of surfaces using the local basic splines of two variables. We discuss the construction of surfaces with given accuracy. As a result we present examples and suggest directions for further investigations.

KW - Polynomial splines

KW - Exponential splines

KW - Integro-Differential Splines

KW - Interpolation

M3 - Article

VL - 14

SP - 345

EP - 352

JO - WSEAS Transactions on Mathematics

JF - WSEAS Transactions on Mathematics

SN - 1109-2769

ER -

ID: 5802149