QINTEG--A Program for Computing Gaussian Quadrature Coefficients.

Abstract

This report presents a program (QINTEG) to compute Gaussian quadrature coefficients for integration with respect to a weighting function. Discontinuities, singularities, or oscillatory behavior of integrands make many problems unsuited to numerical solution using existing general purpose integration programs. When the undesirable behavior of the integrand can be absorbed into the weighting function, numerical integration using the coefficients computed by QINTEG can be accomplished. Improvement of nearly two orders of magnitude in execution time over an existing program was achieved for a problem involving oscillatory integrands. A program listing is included. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1979
Accession Number
ADA073974

Entities

People

  • Theodore H. Hopp

Organizations

  • Harry Diamond Laboratories

Tags

Communities of Interest

  • Advanced Electronics
  • C4I
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Computations
  • Computer Programs
  • Computers
  • Engineering
  • Gaussian Quadrature
  • Integrals
  • Mathematics
  • Military Research
  • New York
  • Numerical Analysis
  • Numerical Integration
  • Numerical Quadrature
  • Polynomials
  • Sequences
  • Weighting Functions

Readers

  • Calculus or Mathematical Analysis
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  • Systems Analysis and Design