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GaussLegendreQuad

oxiphysics_core::numerical_methods_ext

Struct GaussLegendreQuad 

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pub struct GaussLegendreQuad {
    pub n: usize,
    pub nodes: Vec<f64>,
    pub weights: Vec<f64>,
}
Expand description

Gauss-Legendre quadrature rule with n nodes on [-1, 1].

Exact for polynomials of degree up to 2n-1.

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§n: usize

Number of quadrature nodes.

§nodes: Vec<f64>

Quadrature nodes on [-1, 1].

§weights: Vec<f64>

Quadrature weights summing to 2.

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impl GaussLegendreQuad

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pub fn new(n: usize) -> Self

Construct a Gauss-Legendre rule with n points (2 ≤ n ≤ 20).

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pub fn integrate<F: Fn(f64) -> f64>(&self, a: f64, b: f64, f: &F) -> f64

Integrate f over [a, b] using the n-point rule.

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pub fn integrate_composite<F: Fn(f64) -> f64>( &self, a: f64, b: f64, m: usize, f: &F, ) -> f64

Composite Gauss-Legendre integration with m subintervals.

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