Comonotone Adaptive Interpolating Splines

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2002 English Publisher:Springer Science and Business Media LLCJournal:BIT Numerical Mathematics, volume 42, pages 842-855 (issn: 0006-3835, eissn: 1572-9125,

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Authors: Oja, Peeter;

doi: 10.1023/a:1021908705602

Comonotone Adaptive Interpolating Splines

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Abstract

The paper deals with the construction of \(C^1\) interpolating spline with either a quadratic polynomial or a linear/linear rational function between the knots. Such spline preserves the monotonicity of the data on the rational sections. The author proves the existence and the uniqueness of the spline above defined and proposes numerical examples, showing its interesting performances.

Related Organizations

University of Tartu
Estonia

Keywords

numerical examples, Numerical interpolation, splines, monotonicity preservation, interpolation, Numerical computation using splines

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