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. 
@article{MT_2011_14_2_a7,
     author = {S. S. Primakov},
     title = {Asymptotic analysis of boundary conditions for quintic splines},
     journal = {Matemati\v{c}eskie trudy},
     pages = {173--188},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2011_14_2_a7/}
}
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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/