JuliaApproximation / JuliaApproximation/FastTransforms.jl
Add Fourier--Legendre transform
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- Dominant language
- Julia
- Stars
- 281
- Forks
- 27
- PR merge metrics
- No merged PRs in 30d
Description
A stable method in O(mn) operations is proposed in
B. Adcock and A. C. Hansen. Stable reconstructions in Hilbert spaces and the resolution of the Gibbs phenomenon. Appl. Comput. Harmon. Anal., 32:357–388, 2012
where m is the number of Fourier modes and n is the number of Legendre modes. m = O(n2).
Contributor guide
No contributing guide indexed for this repository
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
Start by reading the cited Adcock and Hansen paper and surveying FastTransforms.jl's existing orthogonal-polynomial transform implementations. The issue does not name an entry point, test, or concrete API, so completion would require defining the transform interface, identifying the relevant files, and adding validation for the proposed O(mn) method.
Written by the indexing model from the issue text.
Assessment
- Tech stack
- julia
- Domain
- performance, tooling
- Issue type
- Feature
- Difficulty
- 5/5
- Estimated time
- Over a week
- Activity status
- Stale
- Clarity
- Needs clarification
- Newbie friendliness
- 25/100