Geodesic
Semilocal smoothihg splines of seventh degree
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 6 (2010), pp. 104-112

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Semilocal smoothing splines or $S$-splines were initiated by D. A. Silaev. Earlier there were considers and applied the splines of third and fifth degree. This work is devoted to seventh degree splines construction. Uniqueness and existence theorems are proved. Stability and convergence conditions for these splines are established.
Keywords: an approximation, a spline, numerical methods. 
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     title = {Semilocal smoothihg splines of seventh degree},
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     publisher = {mathdoc},
     number = {6},
     year = {2010},
     language = {ru},
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D. A. Silaev; J. G. Ingtem. Semilocal smoothihg splines of seventh degree. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 6 (2010), pp. 104-112. http://geodesic.mathdoc.fr/item/VYURU_2010_6_a9/