Abstract
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.
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Original Russian Text © B.M. Shumilov, 2015, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2015, Vol. 18, No. 4, pp. 453–467.
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Shumilov, B.M. A splitting algorithm for wavelet transforms of the Hermite splines of the seventh degree. Numer. Analys. Appl. 8, 365–377 (2015). https://doi.org/10.1134/S1995423915040096
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DOI: https://doi.org/10.1134/S1995423915040096