JuliaApproximation / JuliaApproximation/ContinuumArrays.jl

Use bases for operations on AbstractQuasiVector

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Dominant language
Julia
Stars
31
Forks
6
Avg merge
9d 22h
Merged PRs (30d)
2

Description

It would be nice if one could do:

x = Inclusion(0..1)
sum(exp.(x))

and have sum automatically expand in a basis (in this case Chebyshev or Legendre). Same with differentiation, etc.

This would need to build on the singularity detection used in ClassicalOrthogonalPolynomials.jl.

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Research direction

Start by reading the AbstractQuasiVector operations and the singularity-detection machinery in ClassicalOrthogonalPolynomials.jl. Trace how sum and differentiation are currently dispatched, then define how basis expansion should apply to the Inclusion(0..1) example. Done means these operations automatically use an appropriate basis as described.

Written by the indexing model from the issue text.

Assessment

Tech stack
julia
Domain
data
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
30/100

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