Geodesic
Asymptotic analysis of boundary conditions for quintic splines
Matematičeskie trudy, Tome 14 (2011) no. 2, pp. 173-188.

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In this article, we consider various boundary conditions for interpolation of quintic splines of defect 1 on a uniform mesh. We obtain an asymptotic representation of the approximation error for the spline for different boundary conditions. Boundary conditions that are optimal by approximation accuracy are found. 
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S. S. Primakov. Asymptotic analysis of boundary conditions for quintic splines. Matematičeskie trudy, Tome 14 (2011) no. 2, pp. 173-188. http://geodesic.mathdoc.fr/item/MT_2011_14_2_a7/

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