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Package for Calculating with B-Splines

1977; Society for Industrial and Applied Mathematics; Volume: 14; Issue: 3 Linguagem: Inglês

10.1137/0714026

1095-7170

Carl de Boor,

Advanced machining processes and optimization

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.