Carlo Cattani, Luis M. Sánchez Ruiz, "Discrete differential operators in multidimensional Haar wavelet spaces", International Journal of Mathematics and Mathematical Sciences, vol. 2004, Article ID 480617, 9 pages, 2004. https://doi.org/10.1155/S0161171204307234
Discrete differential operators in multidimensional Haar wavelet spaces
We consider a class of discrete differential operators acting on multidimensional Haar wavelet basis with the aim of finding wavelet approximate solutions of partial differential problems. Although these operators depend on the interpolating method used for the Haar wavelets regularization and the scale dimension space, they can be easily used to define the space of approximate wavelet solutions.
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