Trait ImplicitZerothOrder

pub trait ImplicitZerothOrder<Y, U>: OdeSolver<Y, U>
where
    Self: InterpolateSolution<Y, U>,
    Y: Solution,
    for<'a> &'a Y: Mul<TensorRank0, Output = Y> + Sub<&'a Y, Output = Y>,
    U: TensorVec<Item = Y>,
{
    // Required method
    fn integrate(
        &self,
        function: impl Fn(TensorRank0, &Y) -> Result<Y, IntegrationError>,
        time: &[TensorRank0],
        initial_condition: Y,
        solver: impl ZerothOrderRootFinding<Y>,
    ) -> Result<(Vector, U, U), IntegrationError>;
}

Base trait for zeroth-order implicit ordinary differential equation solvers.

Required Methods

fn integrate( &self, function: impl Fn(TensorRank0, &Y) -> Result<Y, IntegrationError>, time: &[TensorRank0], initial_condition: Y, solver: impl ZerothOrderRootFinding<Y>, ) -> Result<(Vector, U, U), IntegrationError>

Solves an initial value problem by implicitly integrating a system of ordinary differential equations.

\frac{dy}{dt} = f(t, y),\quad y(t_0) = y_0,\quad \frac{\partial f}{\partial y} = J(t, y)

Dyn Compatibility

This trait is not dyn compatible.

In older versions of Rust, dyn compatibility was called "object safety", so this trait is not object safe.

Implementors

impl<Y, U> ImplicitZerothOrder<Y, U> for BackwardEuler

where Self: InterpolateSolution<Y, U>, Y: Solution, for<'a> &'a Y: Mul<TensorRank0, Output = Y> + Sub<&'a Y, Output = Y>, U: TensorVec<Item = Y>, Vector: From<Y>,