Computing Integrals Involving B-Splines by Means of Specialized Gaussian Quadrature Rules.

Abstract

In the paper a technique and algorithm are given to efficiently compute integrals involving products of splines and general functions. Using the B-Splines as weighting functions the authors show how to generate Gaussian quadrature rules for approximating the integrals. Tables of abscissas and weights, together with procedures for their use, are given for the important special case in which the internal breakpoints of the B-Splines are equally spaced. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 31, 1973
Accession Number
AD0774715

Entities

People

  • James L. Phillips
  • Richard J. Hanson

Organizations

  • Washington State University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Gaussian Quadrature
  • Integrals
  • Mathematics
  • Weighting Functions

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.

Technology Areas

  • Space