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