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nschloe avatar nschloe commented on May 26, 2024

There's the order of course, and two other important criteria:

  • Are all points inside the comain, or may points be on the boundary or outside?
  • Are all weights positive?

(Well, the importance depends on your application. If you can evaluate your functions everywhere anyways, you're fine with anything in the first criterion.)

Both of the above things can be checked easily when simply looking at the weights and points, but yeah, that's something you'll have to do manually.

I'm not quite sure what a "scheme selector" could do, so that's why there is none.

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ataber avatar ataber commented on May 26, 2024

I'm also not sure what a scheme selector would do :)

Are there certain non-obvious features of various rules that may be useful in certain situations? I'm thinking things like symmetry of point distribution, or maybe a rule that works particularly well with certain integrands for instance.

This isn't really related to this software in particular (though it could be seen as documentation-related), so I totally understand if you want to close this issue. Thanks!

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nschloe avatar nschloe commented on May 26, 2024

Are there certain non-obvious features of various rules that may be useful in certain situations? I'm thinking things like symmetry of point distribution,

None that I know of. Symmetry is of course a nice feature, but really if you care about the result of the integration it might not be tremendously important to you. Ultimately, you'll always have to take a second and look at the scheme. quadpy should make that easy too:

import quadpy
quadpy.triangle.show(quadpy.triangle.Dunavant(10))

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