HAdaptiveIntegration

• list of schemes:

  • https://github.com/sigma-py/quadpy
  • https://github.com/zfergus/legacy-quadpy

• Possibly relevant Julia packages:

  • https://github.com/JuliaMath/Cubature.jl

  • https://github.com/JuliaMath/HCubature.jl

  • https://github.com/JuliaMath/QuadGK.jl

  • https://github.com/SciML/Integrals.jl

  • https://github.com/stevengj/cubature

  • https://github.com/eschnett/GrundmannMoeller.jl

  • https://github.com/eschnett/SimplexQuad.jl

To-Do

1. Make it work!
2. Make it right!
3. Make it fast!

• 2-simplex (a.k.a. triangle):

  • try log singularity and nearly singular

• 3-simplex (a.k.a. tetrahedron):

  • try to do something

• n-simplex:

  • hope for the best

Remark

• If you show the measure of the simplex in the integrate function, they seem to be way smaller than the rtol. Might need to add a test on the size which could speed up the computation.

Related packages