IGNORING THE SINGULARITY IN APPROXIMATE INTEGRATION,

Abstract

Computing machines have recently given prominence to a primitive method of obtaining the values of a singular integral. In this method, one merely applies an ordinary rule of approximate integration and ignores the singularity. This paper is a study of the theoretical and numerical aspects of this method. It is found that on the whole, the method is theoretically sound and good answers can be obtained. But there are also cases in which answers cannot be obtained and borderline cases in which it may not be clear after a lengthy computation what value should be accepted as the answer. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 20, 1965
Accession Number
AD0612476

Entities

People

  • Philip J. Davis
  • Philip Rabinowitz

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Computations
  • Integrals
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Economics
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Regression Analysis.