Accession Number : AD0612476

Title :   IGNORING THE SINGULARITY IN APPROXIMATE INTEGRATION,

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : Davis,Philip J. ; Rabinowitz,Philip

Report Date : 20 FEB 1965

Pagination or Media Count : 28

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)

Descriptors :   (*NUMERICAL INTEGRATION, NUMERICAL ANALYSIS), (*NUMERICAL ANALYSIS, NUMERICAL INTEGRATION), THEORY, FUNCTIONS(MATHEMATICS), NUMBER THEORY, ALGEBRA, COMPUTERS

Distribution Statement : APPROVED FOR PUBLIC RELEASE