Bertoluzza, S.; Naldi, G. A wavelet collocation method for the numerical solution of partial differential equations. (English) Zbl 0853.65122 Appl. Comput. Harmon. Anal. 3, No. 1, 1-9 (1996). A wavelet collocation method for the numerical solution of partial differential equations is described. It is based on the Daubechie’s compactly supported wavelets. Preconditioning techniques and the treatment of boundary conditions are discussed. Results are presented for several 1D and 2D model problems. Reviewer: W.Heinrichs (Essen) Cited in 50 Documents MSC: 65N35 Spectral, collocation and related methods for boundary value problems involving PDEs 65F35 Numerical computation of matrix norms, conditioning, scaling 35J25 Boundary value problems for second-order elliptic equations Keywords:preconditioning; wavelet collocation method PDFBibTeX XMLCite \textit{S. Bertoluzza} and \textit{G. Naldi}, Appl. Comput. Harmon. Anal. 3, No. 1, 1--9 (1996; Zbl 0853.65122) Full Text: DOI Link