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Asymptotic analysis of boundary conditions for quintic splines

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Abstract

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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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia

    S. S. Primakov

  2. Novosibirsk State University, Novosibirsk, 630090, Russia

    S. S. Primakov

Authors
  1. S. S. Primakov
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Correspondence to S. S. Primakov.

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Original Russian Text © S. S. Primakov, 2011, published in Matematicheskie Trudy, 2011, Vol. 14, No. 2, pp. 173–188.

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Primakov, S.S. Asymptotic analysis of boundary conditions for quintic splines. Sib. Adv. Math. 22, 275–286 (2012). https://doi.org/10.3103/S1055134412040049

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  • DOI: https://doi.org/10.3103/S1055134412040049

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