The authors propose a wavelet Galerkin method to solve boundary value problems.They firrst develop a theory of scaling functions based on cardinal B-spline functions. A wavelet is obtained by translation and dilatation of. Further they add edge functions with several vanishing moments. These techniques seem to reduce the ill-conditioning of the discretized linear system. In the case study with a=b= 0 and f(x) corresponding to u(x) =x(1-x)sin^2(6x), they give nice results with very few terms. S. Hitotumatu
On some applications of the wavelet Galerkin method for boundary value problems / Gori, Laura; Pezza, Laura. - In: MATEMATICHESKOE MODELIROVANIE. - ISSN 0234-0879. - STAMPA. - 15:5(2003), pp. 61-70.
On some applications of the wavelet Galerkin method for boundary value problems.
GORI, Laura;PEZZA, Laura
2003
Abstract
The authors propose a wavelet Galerkin method to solve boundary value problems.They firrst develop a theory of scaling functions based on cardinal B-spline functions. A wavelet is obtained by translation and dilatation of. Further they add edge functions with several vanishing moments. These techniques seem to reduce the ill-conditioning of the discretized linear system. In the case study with a=b= 0 and f(x) corresponding to u(x) =x(1-x)sin^2(6x), they give nice results with very few terms. S. HitotumatuI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
