A Method for the Calculation of Abscissas and Weight Factors Using Gaussian Integration for Integrands with a Logarithmic Singularity

Abstract

A method for the calculation of abscissas and weight factors using Gaussian integration for integrands with a logarithmic singularity is presented. The method shows good convergent properties and allows for the accurate estimation of the error. A program is supplied for the generation of orthogonal polynomials with weight Log(x) to order n, and numerical tables for the Gaussian integration method are provided. Keywords: Abscissas, Gaussian integration, Orthogonal polynomials.

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Document Details

Document Type
Technical Report
Publication Date
Nov 20, 1987
Accession Number
ADA199341

Entities

People

  • Stephen A. Wilkerson

Organizations

  • Naval Surface Warfare Center

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Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Classification
  • Computer Programming
  • Computer Programs
  • Computers
  • Energetic Materials
  • Errors
  • Gaussian Quadrature
  • Intervals
  • Materials
  • Nomenclature
  • Numerical Analysis
  • Procedures (Computers)
  • Security
  • Surface Warfare
  • Warfare

Readers

  • Calculus or Mathematical Analysis
  • Graph Algorithms and Convex Optimization.