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On quartic splines with application to quadratures

Zu quartischen Splines mit Anwendung in der Quadratur

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Abstract

This paper presents a formulatioin and a study of an interpolatory quartic spline which interpolates the first and second derivatives of a given function. This formulation can be applied, in particular, to quadratures.

Zusammenfassung

In der vorliegenden Arbeit werden interpolatorische quartische Splines mit Interpolationsbedingungen für die ersten und zweiten Ableitungen entwickelt und analysiert. Es erfolgt eine Anwendung der vorgeschlagenen Formulierung zur Gewinnung von Quadraturformeln.

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References

  1. Conte, S. D., de Boor, C.: Elementary Numerical Analysis, An Algorithmic, Approach. International Student Edition, McGraw-Hill, Kogakusha Ltd. 1980.

  2. Joshi, T. C., Saxena, R. B.: On quartic spline interpolation. Ganita33, 97–111 (1982).

    MathSciNet  Google Scholar 

  3. Varga, R. S.: Matrix Iterative Analysis. Englewood Cliffs, N. J.: Prentice-Hall 1962.

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Authors and Affiliations

  1. Mathematics Department, Kuwait University, P.O. Box 5969, 13060, Kuwait

    M. N. El Tarazi & S. Sallam

Authors
  1. M. N. El Tarazi
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  2. S. Sallam
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Cite this article

El Tarazi, M.N., Sallam, S. On quartic splines with application to quadratures. Computing 38, 355–361 (1987). https://doi.org/10.1007/BF02278713

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  • DOI: https://doi.org/10.1007/BF02278713

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