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I need to find the cubature rule for the following integration $$\int_{S^{2}} f(s,\tilde{s})d\tilde{s} ds,$$ where $S^2$ is the unit sphere in $\mathbb{R}^{3}$.

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    $\begingroup$ Welcome to SciComp.SE. When you say "I need to find", do you mean that you need the cubature formula or that you need to deduce it? Also, regarding your notation, are $s$ and $\tilde{s}$ the angles of spherical coordinates? $\endgroup$ – nicoguaro Aug 22 at 10:45
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    $\begingroup$ If you need the cubature formulas, I suggest you to check quadpy $\endgroup$ – nicoguaro Aug 22 at 10:52

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