RungeKuttaAlgorithm Constructor (Double, Double, Double)

Initializes a new instance of a Runge-Kutta algorithm with the given Butcher Tableau.

y[n+1] = y[n] + h * Sum(i=0 to s){ b[i]*k[i] }

k[i] = f(t[n] + c[i]*h, y[n] + Sum(j=0 to i-1){ a[i,j] * k[j] } )

Namespace: AGI.Foundation.NumericalMethods.Advanced
Assembly: AGI.Foundation.Core (in AGI.Foundation.Core.dll) Version: 24.2.419.0 (24.2.419.0)

Syntax

C++

Copy

public RungeKuttaAlgorithm(
	double[] stages,
	double[] weights,
	double[][] coefficients
)

Public Sub New ( 
	stages As Double(),
	weights As Double(),
	coefficients As Double()()
)

public:
RungeKuttaAlgorithm(
	array<double>^ stages, 
	array<double>^ weights, 
	array<array<double>^>^ coefficients
)

new : 
        stages : float[] * 
        weights : float[] * 
        coefficients : float[][] -> RungeKuttaAlgorithm

Parameters

stages: Type: SystemDouble
The coefficients "c". These represent the factors multiplying the step size by which to advance the independent variable at each stage.
weights: Type: SystemDouble
The coefficients "b". These represent the coefficients of the "k" stages summed together to represent the slope.
coefficients: Type: SystemDouble
The coefficients "a". These represent the factors multiplying the derivatives to provide the intermediate state information.

Reference

RungeKuttaAlgorithm Class

RungeKuttaAlgorithm Overload

AGI.Foundation.NumericalMethods.Advanced Namespace