This method refines numerical integration schemes on the unit sphere, suggesting new possibilities for high order calculations.
A method for refining high order numerical integration schemes is described. Particular focus is on integration schemes over the unit sphere with octahedral symmetry. The method is powerful enough that new integration schemes can be found from rough intuitive guesses. New schemes up to order 59 are presented.
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B. Delley (1996) studied this question.
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