Trait Explicit

pub trait Explicit<Y, U>: OdeSolver<Y, U>
where
    Self: InterpolateSolution<Y, U>,
    Y: Tensor,
    for<'a> &'a Y: Mul<Scalar, Output = Y> + Sub<&'a Y, Output = Y>,
    U: TensorVec<Item = Y>,
{
    const SLOPES: usize;

    // Provided method
    fn integrate(
        &self,
        function: impl FnMut(Scalar, &Y) -> Result<Y, String>,
        time: &[Scalar],
        initial_condition: Y,
    ) -> Result<(Vector, U, U), IntegrationError> { ... }
}

Base trait for explicit ordinary differential equation solvers.

Required Associated Constants

const SLOPES: usize

Provided Methods

fn integrate( &self, function: impl FnMut(Scalar, &Y) -> Result<Y, String>, time: &[Scalar], initial_condition: Y, ) -> Result<(Vector, U, U), IntegrationError>

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

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

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> Explicit<Y, U> for BogackiShampine

where Self: InterpolateSolution<Y, U>, Y: Tensor, for<'a> &'a Y: Mul<Scalar, Output = Y> + Sub<&'a Y, Output = Y>, U: TensorVec<Item = Y>,

const SLOPES: usize = 4usize

impl<Y, U> Explicit<Y, U> for DormandPrince

where Self: InterpolateSolution<Y, U>, Y: Tensor, for<'a> &'a Y: Mul<Scalar, Output = Y> + Sub<&'a Y, Output = Y>, U: TensorVec<Item = Y>,

const SLOPES: usize = 7usize

impl<Y, U> Explicit<Y, U> for Verner8

where Self: InterpolateSolution<Y, U>, Y: Tensor, for<'a> &'a Y: Mul<Scalar, Output = Y> + Sub<&'a Y, Output = Y>, U: TensorVec<Item = Y>,

const SLOPES: usize = 13usize

impl<Y, U> Explicit<Y, U> for Verner9

where Self: InterpolateSolution<Y, U>, Y: Tensor, for<'a> &'a Y: Mul<Scalar, Output = Y> + Sub<&'a Y, Output = Y>, U: TensorVec<Item = Y>,

const SLOPES: usize = 16usize