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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 (2 N + 1) point rules ( N = 1, 2, 3, 4, 5), in approximating the set of definite integrals ∫ 1 -1 ( x 2 + p 2 ) -1 dx with relative accuracy …