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
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Joshi, T. C., Saxena, R. B.: On quartic spline interpolation. Ganita33, 97–111 (1982).
Varga, R. S.: Matrix Iterative Analysis. Englewood Cliffs, N. J.: Prentice-Hall 1962.
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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