Accession Number : AD0685623

Title :   THE AUTOMATIC NUMERICAL EVALUATION OF DEFINITE INTEGRALS,

Corporate Author : SOUTHWEST CENTER FOR ADVANCED STUDIES DALLAS TEX

Personal Author(s) : Cranley,R. ; Patterson,T. N. L.

Report Date : 1968

Pagination or Media Count : 34

Abstract : A critical examination is made of two common approaches to the automatic evaluation of definite integrals. It is shown that on the grounds of efficiency and reliability it is generally preferable to use families of common point high precision formulae directly over the whole interval of integration than to apply low precision formulae to an adaptively subdivided range. Many examples are given to illustrate the conclusions. (Author)

Descriptors :   (*NUMERICAL INTEGRATION, NUMERICAL ANALYSIS), COMPUTER PROGRAMMING, ANALYTIC FUNCTIONS, INTEGRALS, ERRORS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE