JuliaApproximation / JuliaApproximation/MultivariateOrthogonalPolynomials.jl
New Operator: AngularMomentum
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- Dominant language
- Julia
- Stars
- 20
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- 6
- Avg merge
- 2d 17h
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Description
This one is just about as fundamental as the Laplacian. For complex spherical harmonics and Zernike polynomials, it's diagonal. Other multivariate OPs may have nontrivial representations. In polar coordinates, it's ∂/∂θ; in spherical coordinates, it's ∂/∂φ. Or in both systems, it's x ∂/∂y - y ∂/∂x. Since it's spectrum "separates orders," it is complementary to the Laplacian which "separates degrees."
Contributor guide
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First steps
- Read the whole issue, then the project's contributing guide.
- Comment on the issue to say you are picking it up — it saves two people doing the same work.
- Fork the repository and make your change on a branch.
- Open a pull request that references the issue number.
Research direction
No files, tests, or entry points are named. Start by locating the existing Laplacian and other differential-operator implementations for multivariate orthogonal polynomials, then determine how an AngularMomentum operator would represent ∂/∂θ, ∂/∂φ, or x ∂/∂y - y ∂/∂x across supported domains; done means the operator is implemented and covered for the stated polynomial families.
Written by the indexing model from the issue text.
Assessment
- Tech stack
- julia
- Domain
- backend
- Issue type
- Feature
- Difficulty
- 5/5
- Estimated time
- Over a week
- Activity status
- Stale
- Clarity
- Mostly clear
- Newbie friendliness
- 30/100