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Implement 1D Profile class with orthogonal polynomials like Jacobi or Chebyshev #1201

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dpanici opened this issue Aug 17, 2024 · 1 comment
Open

Implement 1D Profile class with orthogonal polynomials like Jacobi or Chebyshev #1201

dpanici opened this issue Aug 17, 2024 · 1 comment
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@dpanici
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enhancement General label for enhancement. Please also tag with "Speed", "Interface", "Functionality", etc P2 Medium Priority, not urgent but should be on the near-term agend

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@dpanici
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dpanici commented Aug 17, 2024

For fitting data to a profile, to give an option other than spline (which can be prone to oscillations) or PowerSeriesProfile (which cannot be used past a certain degree for fitting due to numerics), an option to use an orthogonal polynomial would be useful. Jacobi is probably the easiest given we already have derivatives implemented for them (unlike Chebyshev)
@dpanici dpanici self-assigned this Aug 17, 2024
@dpanici dpanici added enhancement General label for enhancement. Please also tag with "Speed", "Interface", "Functionality", etc low priority Nice to have, but not needed right away labels Aug 17, 2024
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unalmis commented Aug 18, 2024

chebyshev would be better done with the DCTs on #1119

@unalmis unalmis mentioned this issue Aug 18, 2024
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dpanici added a commit that referenced this issue Aug 20, 2024
@dpanici
HermiteSplineProfile to improve accuracy of coordinate mapping (#1199)
13108f6 
- [x] Adds `HermiteSplineProfile`.
  - Relevant for #1201.
- [x] Resolves #1200.
- Another solution would be to use the radial basis polynomials of the
quadrature grid for spectral spline of iota.
- [x]  Resolves #1203
@dpanici dpanici added P2 Medium Priority, not urgent but should be on the near-term agend and removed low priority Nice to have, but not needed right away labels Nov 11, 2024
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