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Numerical Analysis and Applications

2013 year, number 3

Cubic multiwavelets orthogonal to polynomials and a splitting algorithm

B.M. Shumilov
Keywords: hermit splines, multiwavelets, implicit relations of decomposition, parallelization

Abstract

In this paper, an implicit method of decomposition of hermit cubic splines using the new type multiwavelets with supercompact supports is investigated. The splitting algorithm of wavelet-transformations on the parallel solution of two three-diagonal systems of the linear equations with strict diagonal domination is reasonable. The results of numerical experiments are presented.