Abstract
An accurate numerical method for the evaluation of the Randles-Sevcik function χ( x) is given. The method is an improvement over the trapezoidal quadrature approach of Lether and Wenston. We obtain significant computational economy by adding correction terms to the quadrature sum, which compensates for the effect of the singularities of the integrand. For intermediate values of x, this method is shown to be more suited than other series methods. Practical error bounds are given for the discretization and truncation errors.
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