Package for Calculating with B-Splines.
Technical summary rept.,
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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ATIONS, FORTRAN, Polynomials, Subroutines, TheoremsSpline functions, Spline interpolation, CollocationMathematicsEight 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. Author
- Numerical Mathematics
- Computer Programming and Software