The aim of this paper is to provide a large class of scaling functions for which the convergence analysis for the Galerkin method is applicable, whereas in that paper the only scaling functions considered for practical applications are B-splines and a few of the orthonormal Daubechies scaling functions. The functions considered here, were recently introduced where it was proved that they satisfy many properties making them interesting for the applications. In particular, here we show that the use of these functions has some advantages with respect to other basis functions.
On the Galerkin method based on a particular class of scaling functions / Gori, Laura; Pitolli, Francesca; Pezza, Laura. - In: NUMERICAL ALGORITHMS. - ISSN 1017-1398. - STAMPA. - 28:(2002), pp. 187-198. [10.1023/A:1014000418814]
On the Galerkin method based on a particular class of scaling functions
GORI, Laura;PITOLLI, Francesca;PEZZA, Laura
2002
Abstract
The aim of this paper is to provide a large class of scaling functions for which the convergence analysis for the Galerkin method is applicable, whereas in that paper the only scaling functions considered for practical applications are B-splines and a few of the orthonormal Daubechies scaling functions. The functions considered here, were recently introduced where it was proved that they satisfy many properties making them interesting for the applications. In particular, here we show that the use of these functions has some advantages with respect to other basis functions.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.