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Wavelet based adaptive grids
R van Damme , D Djokovic & M Streng
Dept. of Applied Mathematics,
University of Twente
PO Box 217, 7500AE Enschede, The Netherlands.
vandamme@math.utwente.nl
Abstract
Wavelets give an elegant way to approximate funtions (or solutions
of differential equations for that matter) in a very efficient way.
By making a wavelet expansion of the approximation one can easily
delete insignificant terms in this expansion: it compresses the data
(see DeVore, Jawerth and Popov in American Journal of Mathematics
(1992) 114, 737-785), or to put it in another way, one creates an
adaptive grid. The difficulty is, however, that adaptive grid methods
for solving partial differential equations, that use this philosophy,
cannot be made very efficient compared to e.g., ordinary
discretisation methods. In this talk we will combine the ideas of
these 'wavelet-methods' and normal discretisation methods, and this
leads to a robust and fast method.
Last modified Fri Jun 21 19:19:17 GB-Eire 1996
(DBD)