A WAVELET COLLOCATION METHOD FOR THE NUMERICAL-SOLUTION OF PARTIAL-DIFFERENTIAL EQUATIONS

Authors
BERTOLUZZA S NALDI G
Citation
S. Bertoluzza et G. Naldi, A WAVELET COLLOCATION METHOD FOR THE NUMERICAL-SOLUTION OF PARTIAL-DIFFERENTIAL EQUATIONS, Applied and computational harmonic analysis, 3(1), 1996, pp. 1-9
Citations number
19
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied and computational harmonic analysis → ACNP
ISSN journal
10635203
Volume
3
Issue
1
Year of publication
1996
Pages
1 - 9
Database
ISI
SICI code
1063-5203(1996)3:1<1:AWCMFT>2.0.ZU;2-K
Abstract
We describe a wavelet collocation method for the numerical solution of partial differential equations which is based on the use of the autoc orrelation functions of Daubechie's compactly supported wavelets. For such a method we discuss the application of wavelet based precondition ing techniques along with the treatment of boundary conditions, and we show the results of some numerical tests for several 1- and 2-dimensi onal model problems. (C) 1996 Academic Press, Inc.