A splitting algorithm for wavelet transforms of the Hermite splines of the seventh degree
Boris Shumilov · Numerical Analysis and Applications · 2015
In this paper, an implicit method of decomposition of 7th degree Hermite splines to a series of “lazy” wavelets with displaced supports is investigated. A splitting algorithm for wavelet transforms for parallel solving four five-diagonal systems of linear equations with a rigorous diagonal dominance is justified. Results of numerical experiments on the accuracy for polynomials and on compression of spline-wavelet decomposition are presented.