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PiecewiseC 1-shape-preserving Hermite interpolation

Stückweise gestalterhaltendeC 1-Hermite-Interpolation

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Abstract

A local scheme for piecewiseC 1-Hermite interpolation is presented. The interpolant is obtained patching together cubic with quadratic polynomial segments; it is co-monotone and/or co-convex with the data. Under appropriate assumptions the method is fourth-order accurate.

Zusammenfassung

Ein lokaler Ansatz zur stückweisenC 1-Hermite-Interpolation wird vorgestellt. Die Interpolierende besteht aus zusammengesetzten kubischen und quadratischen Segmenten; sie erhält die Monotonie und/oder die Konvexität der Daten. Unter geeigneten Voraussetzungen approximier sie von vierter Ordnung.

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Authors and Affiliations

  1. Dipartimento di Energetica, Università di Firenze, Via C. Lombroso 6/17, I-50134, Firenze, Italy

    C. Conti & R. Morandi

Authors
  1. C. Conti
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  2. R. Morandi
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Conti, C., Morandi, R. PiecewiseC 1-shape-preserving Hermite interpolation. Computing 56, 323–341 (1996). https://doi.org/10.1007/BF02253459

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  • DOI: https://doi.org/10.1007/BF02253459

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