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SpectralDiff

oxiphysics_core::spectral_methods

Struct SpectralDiff 

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pub struct SpectralDiff;
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Pseudo-spectral differentiation and related operations.

Differentiates periodic functions sampled on a uniform grid using the spectral derivative (multiplication by ik in Fourier space).

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impl SpectralDiff

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pub fn diff(u: &[f64], l: f64) -> Vec<f64>

Compute the first derivative of a periodic function sampled at n uniformly spaced points on [0, L) using spectral (FFT) differentiation.

n must be a power of 2. Returns du/dx at the same grid points.

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pub fn diff2(u: &[f64], l: f64) -> Vec<f64>

Compute the second derivative of a periodic function via FFT.

Multiplies each Fourier mode by -(ik)^2 = k^2.

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pub fn interpolate(u: &[f64], m: usize, l: f64) -> Vec<f64>

Interpolate a periodic function sampled at n points to m uniformly spaced points on [0, L) via zero-padding in Fourier space.

Both n and m must be powers of 2, and m >= n.

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