Semilocal smoothihg S-splines

Silaev D.A.
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Semilocal smoothing splines or S-splines from class C p are considered. These splines consist of polynomials of a degree n, first p + 1 coefficients of each polynomial are determined by values of the previous polynomial and p its derivatives at the point of splice, coefficients at higher terms of the polynomial are determined by the least squares method. These conditions are supplemented by the periodicity condition for the spline function on the whole segment of definition or by initial conditions. Uniqueness and existence theorems are proved. Stability and convergence conditions for these splines are established.

Keywords: approximation, spline, smoothing, semilocality, polynomial, numerical methods
Citation in English: Silaev D.A. Semilocal smoothihg S-splines // Computer Research and Modeling, 2010, vol. 2, no. 4, pp. 349-357
Citation in English: Silaev D.A. Semilocal smoothihg S-splines // Computer Research and Modeling, 2010, vol. 2, no. 4, pp. 349-357
DOI: 10.20537/2076-7633-2010-2-4-349-357
URL: http://crm-en.ics.org.ru/journal/article/1745/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
According to Crossref, this article is cited by:
  • A. N. Fedosova, Dmitrii Alekseevich Silaev. Mathematical modeling of bending of a circular plate using $S$-splines. // Computer Research and Modeling. — 2015. — V. 7, no. 5. — P. 977. DOI: 10.20537/2076-7633-2015-7-5-977-988
  • Fedosova Anastasia, Silaev Dmitry. Circular plate bending simulation using S-splines. — 2014. — P. 1. DOI: 10.1109/MEACS.2014.6986863
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