RungeKuttaDormandPrince Class

public sealed class RungeKuttaDormandPrince : OdeIntegrator

Public NotInheritable Class RungeKuttaDormandPrince
	Inherits OdeIntegrator

public ref class RungeKuttaDormandPrince sealed : public OdeIntegrator

[<SealedAttribute>]
type RungeKuttaDormandPrince =  
    class
        inherit OdeIntegrator
    end

The RungeKuttaDormandPrince type exposes the following members.

	Name	Description
	RungeKuttaDormandPrince	Constructs a new RungeKuttaFehlbergIntegrator object.

	Name	Description
	AbsoluteTolerance	Gets or sets the absolute tolerance used in the convergence test. (Inherited from OdeIntegrator.)
	ConvergenceTests	Gets the collection of convergence tests for the algorithm. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	CurrentTime	Gets the current value of the time parameter. (Inherited from OdeIntegrator.)
	CurrentValue	Gets the current value of the unknowns. (Inherited from OdeIntegrator.)
	DifferentialFunction	Gets or sets a function that should be integrated. (Inherited from OdeIntegrator.)
	EstimatedError	Gets a value indicating the size of the absolute error of the result. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	EvaluationsNeeded	Gets the number of evaluations needed to execute the algorithm. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	HasSharedDegreeOfParallelism	Indicates whether the degree of parallelism is a property that is shared across instances. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	InitialStepsize	Gets or sets the initial time value. (Inherited from OdeIntegrator.)
	InitialTime	Gets or sets the initial time value. (Inherited from OdeIntegrator.)
	InitialValue	Gets or sets the initial value. (Inherited from OdeIntegrator.)
	IterationsNeeded	Gets the number of iterations needed by the algorithm to reach the desired accuracy. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	MaxDegreeOfParallelism	Gets or sets the maximum degree of parallelism enabled by this instance. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	MaxEvaluations	Gets or sets the maximum number of evaluations during the calculation. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	MaxIterations	Gets or sets the maximum number of iterations to use when approximating the roots of the target function. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	MaxStepSize	Gets or sets the maximum step size. (Inherited from OdeIntegrator.)
	MinIterations	Gets or sets the minimum iterations that have to be performed. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	MinStepSize	Gets or sets the minimum step size. (Inherited from OdeIntegrator.)
	ParallelOptions	Gets or sets the configuration for the parallel behavior of the algorithm. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	RelativeTolerance	Gets or sets the relative tolerance used in the convergence test. (Inherited from OdeIntegrator.)
	Result	Gets the result of an algorithm after it has executed. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	SolutionReport	Gets the result of an algorithm after it has executed. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	Status	Gets the AlgorithmStatus following an execution of the algorithm. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)
	StepSize	Gets or sets the step size used in the last step. (Inherited from OdeIntegrator.)
	ThrowExceptionOnFailure	Gets or sets a value indicating whether to throw an exception when the algorithm fails to converge. (Inherited from ManagedIterativeAlgorithmT, TError, TReport.)

	Name	Description
	Equals	Determines whether the specified object is equal to the current object. (Inherited from Object.)
	GetHashCode	Serves as the default hash function. (Inherited from Object.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	Integrate	Performs the numerical integration up to a specified time value. (Inherited from OdeIntegrator.)
	IntegrateMultipleSteps	Performs multiple steps of the numerical integration at least as far as the specified final time. (Inherited from OdeIntegrator.)
	IntegrateSingleStep	Performs one step of the numerical integration in the direction of the final time. (Inherited from OdeIntegrator.)
	Restart	Resets the integrator so the next integration will start from the initial conditions. (Inherited from OdeIntegrator.)
	Restart(Double, VectorDouble)	Resets the integrator so the next integration will start from the specified initial conditions. (Inherited from OdeIntegrator.)
	ToString	Returns a string that represents the current object. (Inherited from Object.)

Use the RungeKuttaDormandPrince class to integrate non-stiff systems of differential equations.

The system of differential equations is defined using a DifferentialFunction delegate. This is a delegate that takes one real argument (the time value), and two vector arguments (the current value and the current derivative). The last argument is passed by reference and must also be returned.

To set up an integration, set the DifferentialFunction property equal to the delegate that defines the system. Set the InitialTime and InitialValue properties to the initial time value and function values, respectively.

To perform the actual integration, call the Integrate(Double) method with the desired final time. This method returns the function value at the final time. You can call this method multiple times to get function values at intermediate positions.

Reference