SPLINE FUNCTION APPROXIMATIONS FOR SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS.

Abstract

Quadratic and cubic spline approximations to solutions of initial value problems are shown to be related to the trapezoidal rule and Milne-Simpson method, respectively, while higher degree splines lead to divergent methods.

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1967
Accession Number
AD0651263

Entities

People

  • Frank R. Loscalzo
  • Thomas D. Talbot

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.