Original scientific paper

**Evaluation of tension splines**

I. Beroš

M. Marušić

###### Abstract

Tension spline of order $k$ is a function that, for a given partition

\mbox{$x_0
Most articles deal with tension splines of order four, applied to the

problem of convex (or monotone) interpolation or to the two-point boundary value problem for ordinary differential equations. Higher order tension splines are described in several papers, but no application is given. Possible reason for this is a lack of an appropriate algorithm for their evaluation.

Here we present an explicit algorithm for evaluation of tension splines of arbitrary order. We especially consider stable and accurate computation of hyperbolic-like functions used in our algorithm.

###### Keywords

tension spline, B-spline, evaluation

###### Hrčak ID:

1739

###### URI

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