Package for Calculating with B-Splines.

Abstract

ATIONS, FORTRAN, Polynomials, Subroutines, Theorems*Spline functions, Spline interpolation, Collocation(Mathematics)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. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1973
Accession Number
AD0770715

Entities

People

  • Carl R. de Boor

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Approximation (Mathematics)
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Interpolation
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • Polynomials
  • Procedures (Computers)
  • Test And Evaluation

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Calculus or Mathematical Analysis
  • Computer Science.