Abstract
A multiresolution transform corresponding to interpolatory techniques is used for fast application of second order Taylor's approximations. In designing this algorithm we apply data compression to the linear and the bilinear forms that appear on the approximation. Analysis of the error is performed. Finally, some numerical results are presented.
Acknowledgment
The research of first author and the last author was supported in part by PI-53/00809/FS/01 and in part by a grant of CNASEA, respectively.