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NumericalDifferentiation

oxiphysics_core::numerical_methods_ext

Struct NumericalDifferentiation 

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pub struct NumericalDifferentiation {
    pub h: f64,
    pub levels: usize,
}
Expand description

Richardson-extrapolated numerical differentiation.

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§h: f64

Base step size.

§levels: usize

Number of Richardson extrapolation levels.

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impl NumericalDifferentiation

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pub fn new(h: f64, levels: usize) -> Self

Create with base step and extrapolation levels.

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pub fn first_deriv<F: Fn(f64) -> f64>(&self, x: f64, f: &F) -> f64

First derivative via central differences + Richardson extrapolation.

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pub fn second_deriv<F: Fn(f64) -> f64>(&self, x: f64, f: &F) -> f64

Second derivative via central differences + Richardson extrapolation.

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pub fn mixed_partial<F: Fn(f64, f64) -> f64>( &self, x: f64, y: f64, f: &F, ) -> f64

Mixed partial ∂²f/∂x∂y at (x, y).

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pub fn nth_deriv<F: Fn(f64) -> f64>(&self, x: f64, order: usize, f: &F) -> f64

Arbitrary-order derivative (order 1..4) via finite differences.

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