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perform as many tests as possible with orthogonal polynomials #109

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nschloe opened this issue Aug 29, 2017 · 0 comments
Open
6 of 14 tasks

perform as many tests as possible with orthogonal polynomials #109

nschloe opened this issue Aug 29, 2017 · 0 comments

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@nschloe
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nschloe commented Aug 29, 2017 •
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It is well known that the map from the monomials integrals to integration formulas is ill-conditioned (see, e.g., Gautschi who pointed it out in great detail for Gaussian rules). Hence, sanity tests in quadpy can be improved by not checking against monomial integrals, but integrals of orthogonal polynomials.

  • line segment
  • triangle
  • tetrahedron
  • hexahedron
  • quadrilateral
  • pyramid
  • wedge
  • n-ball
  • n-cube
  • n-sphere
  • sphere
  • circle
  • ball
  • disk
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@nschloe