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Fourier spectral methods for solving partial differential equations

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CalculustJL/FourierSpaces.jl

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FourierSpaces.jl

Goals

  • Transformation-based spaces
    • Fourier space
    • Sine space
    • Cosine space
    • Chevyshev transform space??
  • Separate out FFT library compilation - make CUDA.jl a requires/extension
  • make it more general so any transform-based PDE solver can use preexisting abstractions

Citation

@software{fourierspacesjl,
  author = {Puri, Vedant},
  title = {FourierSpaces.jl: Fourier spectral PDE solvers in Julia},
  year = {2022},
  publisher = {GitHub},
  journal = {GitHub repository},
  howpublished = {\url{https://github.com/CalculustJL/FourierSpaces.jl}}
}

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Fourier spectral methods for solving partial differential equations

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