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Scalable Matrix Integration -- Slide 1
In general, each of the modified nuclear attraction integrals (NAIs) involving the positron as an additional "nucleus" located at C can be represented as a three-dimensional quadrature sum over phi, theta, and r. The radial coordinate quadrature is broken up into two ranges: 0-1 and 1-infinity. For the 1-infinity range, we invoke the transformation r --> 1/t which maps to the range 0-1 for t. We use Gauss-Legendre quadratures for all three coordinates with typical values being nphi = 32, ntht = 32, and nrad = 64. Thus, for each modified NAI we must perform two 65,536-pt Gauss-Legendre quadratures.

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