Napredna pretraga

Pregled bibliografske jedinice broj: 380323

Collocation by singular splines


Bosner, Tina; Rogina, Mladen
Collocation by singular splines // Annali dell'Università di Ferrara. Sezione 7: Scienze matematiche, 54 (2008), 2; 217-227 doi:10.1007/s11565-008-0045-1 (međunarodna recenzija, članak, znanstveni)


Naslov
Collocation by singular splines

Autori
Bosner, Tina ; Rogina, Mladen

Izvornik
Annali dell'Università di Ferrara. Sezione 7: Scienze matematiche (0430-3202) 54 (2008), 2; 217-227

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

Ključne riječi
Chebyshev theory; Singular splines; Knot insertion; Generalized de Boor algorithm; Collocation; Generalized Gaussian points

Sažetak
Splines determined by the kernel of the differential operator D^k(D\sqrt(x)D)) are known to be useful to solve the singular boundary value problems of the form D\sqrt(x)Du=f(x, u) . One of the most successful methods is the collocation method based on special Chebyshev splines. We investigate the construction of the associated B-splines based on knot-insertion algorithms for their evaluation, and their application in collocation at generalized Gaussian points. Specially, we show how to obtain these points as eigenvalues of a symmetric tridiagonal matrix of order k.

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:


  • Scopus


Uključenost u ostale bibliografske baze podataka:


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts
  • Current Mathematical Publications
  • Mathematical Reviews


Citati