Napredna pretraga

Pregled bibliografske jedinice broj: 321255

Non-uniform Exponential Tension Splines


Bosner, Tina; Rogina, Mladen
Non-uniform Exponential Tension Splines // Numerical Algorithms, 46 (2007), 3; 265-294 (međunarodna recenzija, članak, znanstveni)


Naslov
Non-uniform Exponential Tension Splines

Autori
Bosner, Tina ; Rogina, Mladen

Izvornik
Numerical Algorithms (1017-1398) 46 (2007), 3; 265-294

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
037-1193086-2771 - Numeričke metode u geofizičkim modelima (Saša Singer, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Autor s matičnim brojem:
Tina Bosner, (248575)
Mladen Rogina, (95213)

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus