Struct GL4

pub struct GL4 {
    pub solver: ImplicitSolver,
    pub tol: f64,
    pub max_step_iter: usize,
}

Gauss-Legendre 4th order integrator.

This integrator uses the 4th order Gauss-Legendre Runge-Kutta method, which is an implicit integrator. It requires solving a system of nonlinear equations at each step, which is done using the specified implicit solver (e.g., fixed-point iteration). The Gauss-Legendre method has better stability properties compared to explicit methods, especially for stiff ODEs.

Member variables

• solver: The implicit solver to use.
• tol: The tolerance for the implicit solver.
• max_step_iter: The maximum number of iterations for the implicit solver per step.

Fields

solver: ImplicitSolver

tol: f64

max_step_iter: usize

Implementations

impl GL4

pub fn new(solver: ImplicitSolver, tol: f64, max_step_iter: usize) -> Self

Trait Implementations

impl Archive for GL4

where ImplicitSolver: Archive, f64: Archive, usize: Archive,

const COPY_OPTIMIZATION: CopyOptimization<Self>

An optimization flag that allows the bytes of this type to be copied directly to a writer instead of calling serialize.

type Archived = ArchivedGL4

The archived representation of this type.

type Resolver = GL4Resolver

The resolver for this type. It must contain all the additional information from serializing needed to make the archived type from the normal type.

fn resolve(&self, resolver: Self::Resolver, out: Place<Self::Archived>)

Creates the archived version of this value at the given position and writes it to the given output.

impl Clone for GL4

fn clone(&self) -> GL4

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for GL4

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl Default for GL4

fn default() -> Self

Returns the “default value” for a type.

impl<'de> Deserialize<'de> for GL4

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl<__D: Fallible + ?Sized> Deserialize<GL4, __D> for Archived<GL4>

where ImplicitSolver: Archive, <ImplicitSolver as Archive>::Archived: Deserialize<ImplicitSolver, __D>, f64: Archive, <f64 as Archive>::Archived: Deserialize<f64, __D>, usize: Archive, <usize as Archive>::Archived: Deserialize<usize, __D>,

fn deserialize( &self, deserializer: &mut __D, ) -> Result<GL4, <__D as Fallible>::Error>

Deserializes using the given deserializer

impl ODEIntegrator for GL4

fn step<P: ODEProblem>( &self, problem: &P, t: f64, y: &mut [f64], dt: f64, ) -> Result<f64>

impl<__S: Fallible + ?Sized> Serialize<__S> for GL4

where ImplicitSolver: Serialize<__S>, f64: Serialize<__S>, usize: Serialize<__S>,

fn serialize( &self, serializer: &mut __S, ) -> Result<<Self as Archive>::Resolver, <__S as Fallible>::Error>

Writes the dependencies for the object and returns a resolver that can create the archived type.

impl Serialize for GL4

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl Copy for GL4