Module integrate 

Integration and ODEs.

Structs

BackwardEuler

Implicit, single-stage, first-order, fixed-step, Runge-Kutta method.

BogackiShampine

Explicit, three-stage, third-order, variable-step, Runge-Kutta method.

BogackiShampineFixedStep

Fixed-step variant of the BogackiShampine method.

DormandPrince

Explicit, six-stage, fifth-order, variable-step, Runge-Kutta method.

DormandPrinceFixedStep

Fixed-step variant of the DormandPrince method.

Euler

Explicit, single-stage, first-order, fixed-step, Runge-Kutta method.

Heun

Explicit, two-stage, second-order, fixed-step, Runge-Kutta method.

ImplicitMidpoint

Implicit, single-stage, second-order, fixed-step, Runge-Kutta method.

Midpoint

Explicit, two-stage, second-order, fixed-step, Runge-Kutta method.

Ralston

Explicit, two-stage, second-order, fixed-step, Runge-Kutta method.

Trapezoidal

Implicit, two-stage, second-order, fixed-step, Runge-Kutta method.

Verner8

Explicit, thirteen-stage, eighth-order, variable-step, Runge-Kutta method.

Verner9

Explicit, sixteen-stage, ninth-order, variable-step, Runge-Kutta method.

Verner8FixedStep

Fixed-step variant of the Verner8 method.

Verner9FixedStep

Fixed-step variant of the Verner9 method.

Enums

IntegrationError

Possible errors encountered when integrating.

Traits

Explicit

Explicit integrators for ordinary differential equations.

ExplicitDaeFirstOrderMinimize

Integrators for explicit differential-algebraic equations using first-order minimization.

ExplicitDaeFirstOrderRoot

Integrators for explicit differential-algebraic equations using first-order root-finding.

ExplicitDaeSecondOrderMinimize

Integrators for explicit differential-algebraic equations using second-order minimization.

ExplicitDaeVariableStepExplicit

Variable-step explicit integrators for explicit differential-algebraic equations.

ExplicitDaeVariableStepExplicitFirstOrderMinimize

Variable-step explicit integrators for explicit differential-algebraic equations using first-order minimization.

ExplicitDaeVariableStepExplicitFirstOrderRoot

Variable-step explicit integrators for explicit differential-algebraic equations using first-order root-finding.

ExplicitDaeVariableStepExplicitSecondOrderMinimize

Variable-step explicit integrators for explicit differential-algebraic equations using second-order minimization.

ExplicitDaeVariableStepExplicitZerothOrderRoot

Variable-step explicit integrators for explicit differential-algebraic equations using zeroth-order root-finding.

ExplicitDaeVariableStepFirstSameAsLast

First-same-as-last property for explicit differential-algebraic equation integrators.

ExplicitDaeZerothOrderRoot

Integrators for explicit differential-algebraic equations using zeroth-order root-finding.

FixedStep

Fixed-step integrators for ordinary differential equations.

FixedStepExplicit

Fixed-step explicit integrators for ordinary differential equations.

ImplicitDaeFirstOrderMinimize

Integrators for implicit differential-algebraic equations using first-order minimization.

ImplicitDaeFirstOrderRoot

Integrators for implicit differential-algebraic equations using first-order root-finding.

ImplicitDaeSecondOrderMinimize

Integrators for implicit differential-algebraic equations using second-order minimization.

ImplicitDaeVariableStepExplicit

Variable-step explicit integrators for implicit differential-algebraic equations.

ImplicitDaeVariableStepExplicitFirstOrderMinimize

Variable-step explicit integrators for implicit differential-algebraic equations using first-order minimization.

ImplicitDaeVariableStepExplicitFirstOrderRoot

Variable-step explicit integrators for implicit differential-algebraic equations using first-order root-finding.

ImplicitDaeVariableStepExplicitSecondOrderMinimize

Variable-step explicit integrators for implicit differential-algebraic equations using second-order minimization.

ImplicitDaeVariableStepExplicitZerothOrderRoot

Variable-step explicit integrators for implicit differential-algebraic equations using zeroth-order root-finding.

ImplicitDaeZerothOrderRoot

Integrators for implicit differential-algebraic equations using zeroth-order root-finding.

ImplicitFirstOrder

Implicit integrators for ordinary differential equations using first-order root-finding.

ImplicitZerothOrder

Implicit integrators for ordinary differential equations using zeroth-order root-finding.

OdeIntegrator

Integrators for ordinary differential equations.

VariableStep

Variable-step integrators for ordinary differential equations.

VariableStepExplicit

Variable-step explicit integrators for ordinary differential equations.

VariableStepExplicitFirstSameAsLast

First-same-as-last property for explicit ordinary differential equation integrators.

Type Aliases

Ode1

Alias for Euler.

Ode2

Alias for Heun.

Ode3

Alias for BogackiShampineFixedStep.

Ode5

Alias for DormandPrinceFixedStep.

Ode8

Alias for Verner8FixedStep.

Ode9

Alias for Verner9FixedStep.

Ode1be

Alias for BackwardEuler.

Ode23

Alias for BogackiShampine.

Ode45

Alias for DormandPrince.

Ode78

Alias for Verner8.

Ode89

Alias for Verner9.