Accession Number:

AD0770715

Title:

Package for Calculating with B-Splines.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• DE Boor,Carl

Report Date:

1973-10-01

Pagination or Media Count:

57.0

Abstract:

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

Descriptors:

• *APPROXIMATION(MATHEMATICS)
• *INTERPOLATION
• *COMPUTER PROGRAMS
• COMPUTATIONS
• FORTRAN
• POLYNOMIALS
• SUBROUTINES
• THEOREMS

Subject Categories:

• Numerical Mathematics
• Computer Programming and Software

Distribution Statement:

APPROVED FOR PUBLIC RELEASE