Инд. авторы:	Kvasov B., Kim T.W.
Заглавие:	Weighted cubic and biharmonic splines
Библ. ссылка:	Kvasov B., Kim T.W. Weighted cubic and biharmonic splines // Computational Mathematics and Mathematical Physics. - 2017. - Vol.57. - Iss. 1. - P.26-44. - ISSN 0965-5425. - EISSN 1555-6662.
Внешние системы:	DOI: 10.1134/S0965542517010109; SCOPUS: 2-s2.0-85013041900; WoS: 000394351900003;
Реферат:	eng: In this paper we discuss the design of algorithms for interpolating discrete data by using weighted cubic and biharmonic splines in such a way that the monotonicity and convexity of the data are preserved. We formulate the problem as a differential multipoint boundary value problem and consider its finite-difference approximation. Two algorithms for automatic selection of shape control parameters (weights) are presented. For weighted biharmonic splines the resulting system of linear equations can be efficiently solved by combining Gaussian elimination with successive over-relaxation method or finite-difference schemes in fractional steps. We consider basic computational aspects and illustrate main features of this original approach.
Ключевые слова:	TENSION SPLINES; RAPIDLY VARYING DATA; finite-difference schemes in fractional steps; successive over-relaxation method; INTERPOLATION; adaptive choice of shape control parameters; weighted cubic and biharmonic splines; monotone and convex interpolation; differential multipoint boundary value problem; SCATTERED DATA;
Издано:	2017
Физ. характеристика:	с.26-44