Twelfth degree spline with application to quadrature

In this paper existence and uniqueness of twelfth degree spline is proved with application to quadrature. This formula is in the class of splines of degree 12 and continuity order [Formula: see text] that matches the derivatives up to order 6 at the knots of a uniform partition. Some mistakes in the...

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Detalles Bibliográficos
Autores principales: Mohammed, P. O., Hamasalh, F. K.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5161053/
https://www.ncbi.nlm.nih.gov/pubmed/28050334
http://dx.doi.org/10.1186/s40064-016-3711-2
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author Mohammed, P. O.
Hamasalh, F. K.
author_facet Mohammed, P. O.
Hamasalh, F. K.
author_sort Mohammed, P. O.
collection PubMed
description In this paper existence and uniqueness of twelfth degree spline is proved with application to quadrature. This formula is in the class of splines of degree 12 and continuity order [Formula: see text] that matches the derivatives up to order 6 at the knots of a uniform partition. Some mistakes in the literature are pointed out and corrected. Numerical examples are given to illustrate the applicability and efficiency of the new method.
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spelling pubmed-51610532017-01-03 Twelfth degree spline with application to quadrature Mohammed, P. O. Hamasalh, F. K. Springerplus Research In this paper existence and uniqueness of twelfth degree spline is proved with application to quadrature. This formula is in the class of splines of degree 12 and continuity order [Formula: see text] that matches the derivatives up to order 6 at the knots of a uniform partition. Some mistakes in the literature are pointed out and corrected. Numerical examples are given to illustrate the applicability and efficiency of the new method. Springer International Publishing 2016-12-16 /pmc/articles/PMC5161053/ /pubmed/28050334 http://dx.doi.org/10.1186/s40064-016-3711-2 Text en © The Author(s) 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Mohammed, P. O.
Hamasalh, F. K.
Twelfth degree spline with application to quadrature
title Twelfth degree spline with application to quadrature
title_full Twelfth degree spline with application to quadrature
title_fullStr Twelfth degree spline with application to quadrature
title_full_unstemmed Twelfth degree spline with application to quadrature
title_short Twelfth degree spline with application to quadrature
title_sort twelfth degree spline with application to quadrature
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5161053/
https://www.ncbi.nlm.nih.gov/pubmed/28050334
http://dx.doi.org/10.1186/s40064-016-3711-2
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