Collocation by singular splines (CROSBI ID 147192)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Bosner, Tina ; Rogina, Mladen
engleski
Collocation by singular splines
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.
Chebyshev theory ; Singular splines ; Knot insertion ; Generalized de Boor algorithm ; Collocation ; Generalized Gaussian points
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Podaci o izdanju
54 (2)
2008.
217-227
objavljeno
0430-3202
1827-1510
10.1007/s11565-008-0045-1