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Interpolation by a local taut cubic piecewise polynomial

Interpolation durch ein lokales kubisches stückweises Polynom

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Abstract

The interpolation of a discrete set of data, on the interval [a, b], representing the functiong(x) is obtained using a local piecewise polynomial of order 3. This piecewise cubic interpolant has the following properties: monotonicity and/or convexity or turning points that are present in the data are preserved and no extraneous turning points are created. This approximation method is also presented in the form of a FORTRAN77 subroutine.

Zusammenfassung

Ein Satz diskreter Datenwerte über dem Intervall [a, b], der eine Funktiong (x) repräsentiert, wird stückweise durch lokal definierte kubische Polynome interpoliert. Die entstehende Interpolationsfunktion hat folgende Eigenschaften: sie ist monoton und/oder konvex und repräsentiert alle durch die Daten vorgegebenen Wendepunkte, wobei keine zusätzlichen Wendepunkte erzeugt werden. Das Approximationsverfahren wird in Form eines FORTRAN 77-Unterprogramms angegeben.

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Authors and Affiliations

  1. Department of Physics, University of Essex, C04 3SQ, Colchester, Essex, UK

    M. Davis

  2. Department of Mathematics, University of Essex, C04 3SQ, Colchester, Essex, UK

    J. Dowden

Authors
  1. M. Davis
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  2. J. Dowden
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Davis, M., Dowden, J. Interpolation by a local taut cubic piecewise polynomial. Computing 38, 299–313 (1987). https://doi.org/10.1007/BF02278708

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  • DOI: https://doi.org/10.1007/BF02278708

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