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Nodal splines on compact intervals

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Abstract

In this paper, we demonstrate that the nodal spline interpolation operator on compact intervals can be regarded as a discretized version of the Martensen operator. This approach gives an interesting alternative perspective on the nodal splines on compact intervals. The origin of the Martensen operator can be found in a two-point Hermite spline interpolation problem.

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Correspondence to Ralf Siewer.

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Communicated by Tom Lyche.

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Siewer, R. Nodal splines on compact intervals. Bit Numer Math 53, 741–753 (2013). https://doi.org/10.1007/s10543-013-0429-1

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  • DOI: https://doi.org/10.1007/s10543-013-0429-1

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