JuliaApproximation / JuliaApproximation/MultivariateOrthogonalPolynomials.jl
Ridge polynomials (on the disk)?
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- Dominant language
- Julia
- Stars
- 20
- Forks
- 6
- Avg merge
- 2d 17h
- Merged PRs (30d)
- 1
Description
These look like P_{n,k}(x,y) = U_n(x * cos(k*pi/(n+1)) + y * sin(k*pi/(n+1))), orthogonal on the unweighted unit disk.
Sparse differentiation is trivial (using ultraspherical generalizations), but the Jacobi operators are not obvious.
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Research direction
The issue proposes Ridge polynomials on the unit disk using ultraspherical generalizations, but names no files, tests, or entry points. First determine the intended polynomial and Jacobi-operator formulation; done would mean an agreed implementation scope and corresponding support in the package.
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
- Needs clarification
- Newbie friendliness
- 25/100