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Trapezoidal

oxiphysics_core::numerical_ode

Struct Trapezoidal 

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pub struct Trapezoidal {
    pub max_iter: usize,
    pub tol: f64,
}
Expand description

Trapezoidal (Crank-Nicolson) integrator — second-order accurate, A-stable.

Solves y_{n+1} = y_n + h/2 * [f(t_n, y_n) + f(t_{n+1}, y_{n+1})] iteratively via fixed-point iteration.

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§max_iter: usize

Maximum iterations per step.

§tol: f64

Convergence tolerance.

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impl Trapezoidal

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pub fn new(max_iter: usize, tol: f64) -> Self

Construct with given parameters.

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pub fn default_params() -> Self

Construct with default parameters.

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pub fn step<F>(&self, s: &OdeState, h: f64, f: &F) -> OdeState
where F: Fn(f64, &[f64]) -> Vec<f64>,

Perform one Crank-Nicolson step from state s with step h.

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pub fn integrate<F>( &self, s0: &OdeState, t_end: f64, dt: f64, f: &F, ) -> Vec<OdeState>
where F: Fn(f64, &[f64]) -> Vec<f64>,

Integrate from s0 to t_end with fixed step dt.

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