Geodesic
A splitting algorithm for the wavelet transform of cubic splines on a nonuniform grid
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 10, pp. 1600-1614

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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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     author = {Z. M. Sulaimanov and B. M. Shumilov},
     title = {A splitting algorithm for the wavelet transform of cubic splines on a nonuniform grid},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     year = {2017},
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Z. M. Sulaimanov; B. M. Shumilov. A splitting algorithm for the wavelet transform of cubic splines on a nonuniform grid. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 10, pp. 1600-1614. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_10_a1/