Trait Explicit 

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

    // Required methods
    fn dt_beta(&self) -> Scalar;
    fn dt_expn(&self) -> Scalar;

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

Base trait for explicit ordinary differential equation solvers.

Required Associated Constants

const SLOPES: usize

Required Methods

fn dt_beta(&self) -> Scalar

Returns the multiplier for adaptive time steps.

fn dt_expn(&self) -> Scalar

Returns the exponent for adaptive time steps.

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

fn time_step(&self, error: Scalar, dt: &mut Scalar)

Provides the adaptive time step as a function of the error.

h_{n+1} = \beta h \left(\frac{e_\mathrm{tol}}{e_{n+1}}\right)^{1/p}

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: OdeSolver<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: OdeSolver<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: OdeSolver<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: OdeSolver<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