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Some algorithm for computing local parameters of quartic interpolatory splines. (English) Zbl 0851.41009

Summary: The continuity conditions for quartic interpolatory spline on the general knot set are expressed in terms of the first and second derivatives. The resulting system of equations is then completed by boundary conditions to the system of linear equations for computing the values of the first and second derivatives of the quartic spline.

MSC:

41A15 Spline approximation
65D05 Numerical interpolation
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References:

[1] Ahlberg J. H., Nilson E. N., Walsh J. L.: The Theory of Splines and Their Applications. Acad. Press, New York 1967. · Zbl 0158.15901
[2] Kobza J.: Quartic splines. Proc. NMTP, Plzeň 1993, 89-96. · Zbl 0854.41011
[3] Kobza J.: Splines. VUP Olomouc, 1993 · Zbl 0803.41011
[4] Spaeth H.: Spline-Algorithmen. Oldenbourgh Verlag, Munich-Wien, 1973. · Zbl 0276.65006
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