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Pregled bibliografske jedinice broj: 321255

Časopis

Autori: Bosner, Tina; Rogina, Mladen
Naslov: Non-uniform Exponential Tension Splines
Izvornik: Numerical Algorithms (1017-1398) 46 (2007), 3; 265-294
Vrsta rada: članak
Ključne riječi: Chebyshev theory; exponential tension splines; knot insertion; generalized de Boor algorithm; generalized Oslo algorithm
Sažetak:
We describe explicitly each stage of a numerically stable algorithm for calculating with exponential tension B-splines with non-uniform choice of tension parameters. These splines are piecewisely in the kernel of D^2(D^2-p^2), where D stands for ordinary derivative, defined on arbitrary meshes, with a different choice of the tension parameter p on each interval. The algorithm provides values of the associated B-splines and their generalized and ordinary derivatives by performing positive linear combinations of positive quantities, described as lower-order exponential tension splines. We show that nothing else but the knot insertion algorithm and good approximation of a few elementary functions is needed to achieve machine accuracy. The underlying theory is that of splines based on Chebyshev canonical systems which are not smooth enough to be ECC-systems. First, by de Boor algorithm we construct exponential tension spline of class C^1, and then we use quasi-Oslo type algorithms to evaluate classical non-uniform C^2 tension exponential splines.
Projekt / tema: 037-1193086-2771
Izvorni jezik: ENG
Rad je indeksiran u
bazama podataka:
Current Contents Connect (CCC)
Scopus
SCI-EXP, SSCI i/ili A&HCI
Science Citation Index Expanded (SCI-EXP) (sastavni dio Web of Science Core Collectiona)
Kategorija: Znanstveni
Znanstvena područja:
Matematika
URL cjelovitog teksta:
Google Scholar: Non-uniform Exponential Tension Splines
Upisao u CROSBI: Tina Bosner (tinab@math.hr), 8. Vel. 2008. u 17:37 sati



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