https://github.com/lxvm/fourierseriesevaluators.jl

Fourier series evaluators for hierarchical grids
https://github.com/lxvm/fourierseriesevaluators.jl

Last synced: 2 months ago
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Fourier series evaluators for hierarchical grids

• Host: GitHub
• URL: https://github.com/lxvm/fourierseriesevaluators.jl
• Owner: lxvm
• License: mit
• Created: 2023-02-06T18:18:50.000Z (almost 2 years ago)
• Default Branch: main
• Last Pushed: 2024-06-25T12:07:13.000Z (7 months ago)
• Last Synced: 2024-10-13T22:33:08.907Z (3 months ago)
• Language: Julia
• Homepage: https://lxvm.github.io/FourierSeriesEvaluators.jl/
• Size: 423 KB
• Stars: 2
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# FourierSeriesEvaluators.jl

| Documentation | Build Status | Coverage | Version |

| :-: | :-: | :-: | :-: |

| [![][docs-stable-img]][docs-stable-url] | [![][action-img]][action-url] | [![][codecov-img]][codecov-url] | [![ver-img]][ver-url] |

| [![][docs-dev-img]][docs-dev-url] | [![][pkgeval-img]][pkgeval-url] | [![][aqua-img]][aqua-url] | [![deps-img]][deps-url] |

This package provides multi-dimensional Fourier interpolants for arrays of

Fourier coefficients. Its documented features include:

- Support for arbitrary coefficient types and coefficients with offset indices

- Inplace evaluation of (multiple) series at real and complex arguments

- Arbitrary orders of derivatives of series

- Memory management intended for parallel workloads

These Fourier series are efficient to evaluate in the sense that they have been

carefully optimized. The algorithm they implement is equivalent to multiplying a

row of a DFT matrix against the column vector of coefficients. Thus this code is

preferrable to FFTs only when the number of evaluation points is somewhat larger

than the number of Fourier coefficients, or when interpolation on non-equispace

grids is needed.

## Author and Copyright

FourierSeriesEvaluators.jl was written by [Lorenzo Van

Muñoz](https://web.mit.edu/lxvm/www/), and is free/open-source software under

the MIT license.

## Related packages

- [FFTW.jl](https://github.com/JuliaMath/FFTW.jl)

- [OffsetArrays.jl](https://github.com/JuliaArrays/OffsetArrays.jl)

[docs-stable-img]: https://img.shields.io/badge/docs-stable-blue.svg

[docs-stable-url]: https://lxvm.github.io/FourierSeriesEvaluators.jl/stable/

[docs-dev-img]: https://img.shields.io/badge/docs-dev-blue.svg

[docs-dev-url]: https://lxvm.github.io/FourierSeriesEvaluators.jl/dev/

[action-img]: https://github.com/lxvm/FourierSeriesEvaluators.jl/actions/workflows/CI.yml/badge.svg?branch=main

[action-url]: https://github.com/lxvm/FourierSeriesEvaluators.jl/actions/?query=workflow:CI

[pkgeval-img]: https://juliahub.com/docs/General/FourierSeriesEvaluators/stable/pkgeval.svg

[pkgeval-url]: https://juliahub.com/ui/Packages/General/FourierSeriesEvaluators

[codecov-img]: https://codecov.io/github/lxvm/FourierSeriesEvaluators.jl/branch/main/graph/badge.svg

[codecov-url]: https://app.codecov.io/github/lxvm/FourierSeriesEvaluators.jl

[aqua-img]: https://raw.githubusercontent.com/JuliaTesting/Aqua.jl/master/badge.svg

[aqua-url]: https://github.com/JuliaTesting/Aqua.jl

[ver-img]: https://juliahub.com/docs/FourierSeriesEvaluators/version.svg

[ver-url]: https://juliahub.com/ui/Packages/FourierSeriesEvaluators/UDEDl

[deps-img]: https://juliahub.com/docs/General/FourierSeriesEvaluators/stable/deps.svg

[deps-url]: https://juliahub.com/ui/Packages/General/FourierSeriesEvaluators?t=2