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NIntegrate integration method for computing ionization energy

I want to compute the ionization energy of the helium atom quantum mechanically. For this I need to compute some numerical sextuple integrals over a smooth complex function of six coordinates. Which integration method should I use to get a fast computation with good accuracy? The complex function is very time expensive to evaluate.

POSTED BY: Ralph Trenkler
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It would help if you provided some examples of the integrals you are using and what you may have already tried in Mathematica.

POSTED BY: Moderation Team

The important functions in my program are "matrixHN" and "matrixSN". I use the numerical integration method "NewtonCotesRule", because it gives the best results. Is there a better integration method?

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POSTED BY: Ralph Trenkler
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