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SpectralDiffMatrix

oxilean_std::spectral_methods::types

Struct SpectralDiffMatrix 

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pub struct SpectralDiffMatrix {
    pub degree: usize,
    pub matrix: Vec<Vec<f64>>,
    pub nodes: Vec<f64>,
}
Expand description

Spectral differentiation matrix and related operations.

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§degree: usize

Polynomial degree N.

§matrix: Vec<Vec<f64>>

The (N+1)×(N+1) Chebyshev differentiation matrix.

§nodes: Vec<f64>

Gauss-Lobatto nodes.

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impl SpectralDiffMatrix

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pub fn chebyshev(degree: usize) -> Self

Build the Chebyshev spectral differentiation matrix.

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pub fn apply(&self, u: &[f64]) -> Vec<f64>

Apply D to a vector u.

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pub fn spectral_radius(&self) -> f64

Spectral radius (max row absolute sum).

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pub fn apply_second(&self, u: &[f64]) -> Vec<f64>

Apply D² (second derivative).

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pub fn num_points(&self) -> usize

Number of grid points (N+1).

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