Trait ImplicitRates 

pub trait ImplicitRates<X, F, J, UX, UR, T = Time>
where
    Self: Debug,
    X: Differentiable<T> + Tensor,
    Derivative<X, T>: Tensor,
    UX: TensorVec<Item = X>,
    UR: TensorVec<Item = Derivative<X, T>>,
{
    // Required method
    fn integrate(
        &self,
        rate: impl FnMut(Quantity<T>, &X) -> Result<Derivative<X, T>, String>,
        residual: impl FnMut(Quantity<T>, &X, &Derivative<X, T>) -> Result<F, String>,
        tangent: impl FnMut(Quantity<T>, &X, &Derivative<X, T>, Quantity<T>) -> Result<J, String>,
        solver: impl RootFinding<F, J, X>,
        equality_constraint: impl Fn(Quantity<T>) -> EqualityConstraints,
        sparse: Option<SparseSolver>,
        time: &[Quantity<T>],
        initial_state: X,
    ) -> Result<(Times<T>, UX, UR), IntegrationError>;
}

Implicit integrators for first-order systems.

C\dot{x} + f(t, x) = 0

Required Methods

fn integrate( &self, rate: impl FnMut(Quantity<T>, &X) -> Result<Derivative<X, T>, String>, residual: impl FnMut(Quantity<T>, &X, &Derivative<X, T>) -> Result<F, String>, tangent: impl FnMut(Quantity<T>, &X, &Derivative<X, T>, Quantity<T>) -> Result<J, String>, solver: impl RootFinding<F, J, X>, equality_constraint: impl Fn(Quantity<T>) -> EqualityConstraints, sparse: Option<SparseSolver>, time: &[Quantity<T>], initial_state: X, ) -> Result<(Times<T>, UX, UR), IntegrationError>

Solves an initial value problem for a first-order system, given the residual of the system as a function of time, state, and rate, and its tangent with respect to the state.

The rate function is only evaluated for the initial rate. The tangent is handed the time step, from which the weight of the capacity in the effective tangent follows. The solution contains the states and rates at each time. The time step is that of the integrator when time holds only the initial and final times, and otherwise time is the sequence of steps.

Dyn Compatibility

This trait is not dyn compatible.

In older versions of Rust, dyn compatibility was called "object safety".

Implementors

impl<X, F, J, UX, UR, T> ImplicitRates<X, F, J, UX, UR, T> for BackwardEuler

where X: Differentiable<T> + Tensor, Derivative<X, T>: Tensor, for<'a, 'a> &'a X: Sub<&'a X, Output = X> + Div<Quantity<T>, Output = Derivative<X, T>>, UX: TensorVec<Item = X>, UR: TensorVec<Item = Derivative<X, T>>,