Comparison of several adaptive Newton-Cotes quadrature routines in evaluating definite integrals with peaked integrands

Abstract

This report compares the performance of five different adaptive quadrature schemes, based on Newton-Cotes (2N+1)-point rules (N = 1, 2, 3, 4, 5), in approximating the several sets of definite integrals with relative accuracy.

Keywords

N00000* -GENERAL (OUT-OF-SCOPE REPORTS)
COMPUTERS
INTEGRALS
NUMERICALS
PROGRAMMING
MATHEMATICS/NEWTON-COTES QUADRATURE COMPUTER PROGRAMS FOR EVALUATING DEFINITE INTEGRALS WITH PEAKED INTEGRANDS
COMPUTER PROGRAMS/FOR EVALUATING DEFINITE INTEGRALS WITH PEAKED INTEGRANDS USING NEWTON-COTES QUADRATURE RULES
IN FORTRAN FOR IBM 360/50-75

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