Comparison of Several Adaptive Newton-Cotes Quadrature Routines
in Evaluating Definite Integrals with Peaked Integrands

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 INTEGRAL$1/(x^2 + p^2)) dx with 
relative accuracy e.

CACM June, 1970

Hillstrom, K. E.

adaptive Newton-Cotes quadrature, quadrature scheme comparison,
definite integral evaluation, adaptive numerical in tegration, Newton-Cotes 
integration, peaked integrand integration, quadrature efficiently
plot, New-Cotes rules applications, Newton-Cotes rules modifications

5.10 5.16

CA700607 JB February 13, 1978  11:08 AM

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