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

Authors:
K. E. Hillstrom
Affiliations:
Argonne National Lab, Argonne, IL
Venue:
Communications of the ACM
Year:
1970

Citing 4
Cited 2

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ACM Transactions on Mathematical Software (TOMS)
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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 set of definite integrals ∫1-1 (x2 + p2)-1 dx with relative accuracy &egr;.