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Package for Calculating with B-Splines

Carl de Boor
SIAM Journal on Numerical Analysis
Vol. 14, No. 3 (Jun., 1977), pp. 441-472
Stable URL: http://www.jstor.org/stable/2156696
Page Count: 32
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Package for Calculating with B-Splines
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Abstract

Eight FORTRAN subprograms for dealing computationally with piecewise polynomial functions (of one variable) are presented. The package is built around an algorithm for the stable evaluation of B-splines of arbitrary order and with knots of arbitrary multiplicity. Four examples illustrate how one might use these routines: interpolation by splines of general order k (and not necessarily at the knots); least squares approximation by splines to discrete data; the determination of the derivative of a spline with respect to a knot; and the approximate solution of an ordinary differential equation with rather general side conditions by collocation.

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