A splitting algorithm for the wavelet transform of cubic splines on a nonuniform grid |
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Authors: | Z. M. Sulaimanov B. M. Shumilov |
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Affiliation: | 1.Osh State University,Osh,Kyrgyzstan;2.Tomsk State University of Architecture and Building,Tomsk,Russia |
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Abstract: | For cubic splines with nonuniform nodes, splitting with respect to the even and odd nodes is used to obtain a wavelet expansion algorithm in the form of the solution to a three-diagonal system of linear algebraic equations for the coefficients. Computations by hand are used to investigate the application of this algorithm for numerical differentiation. The results are illustrated by solving a prediction problem. |
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