Spline recurrences for quartic splines. (English) Zbl 0854.41011

Summary: The linear dependence relations for the local parameters of quartic spline (spline recurrences) are presented. The cases of splines interpolating function values at knots and midpoints, mean values and values of the first derivative are studied. The recurrences between prescribed values and values of various derivatives of the spline are given. The structure of related systems of linear equations for computing parameters of the spline is investigated.


41A15 Spline approximation
65D05 Numerical interpolation
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