Discrete cubic spline interpolation

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1982 Germany English Publisher:Springer Science and Business Media LLCJournal:Numerische Mathematik, volume 40, pages 71-78 (issn: 0029-599X, eissn: 0945-3245,

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Authors: Dikshit, H.P.; Powar, P.;

doi: 10.1007/bf01459076

Discrete cubic spline interpolation

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Abstract

In the present paper we study the existence, uniqueness and convergence of discrete cubic spline which interpolate to a given function at one interior point of each mesh interval. Our result in particular, includes the interpolation problems concerning continuous periodic cubic splines and discrete cubic splines with boundary conditions considered respectively in Meir and Sharma (1968) and Lyche (1976) for the case of equidistant knots.

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Germany

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Keywords

convergence, existence, uniform mesh, uniqueness, intermediate point interpolation, periodic cubic splines, Article, Numerical computation using splines, 510.mathematics, Spline approximation, discrete cubic spline

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