BurdenFairesAdaptiveQuadratureIntegrate Method

Approximates the integral I = Int(f(x), a, b) to within a given tolerance.

Namespace: AGI.Foundation.NumericalMethods.Advanced
Assembly: AGI.Foundation.Core (in AGI.Foundation.Core.dll) Version: 24.3.420.0 (24.3.420.0)

Syntax

C++

Copy

public static double Integrate(
	double intervalStart,
	double intervalEnd,
	double tolerance,
	int numberOfLevels,
	BurdenFairesAdaptiveQuadratureIntegrand integrand
)

Public Shared Function Integrate ( 
	intervalStart As Double,
	intervalEnd As Double,
	tolerance As Double,
	numberOfLevels As Integer,
	integrand As BurdenFairesAdaptiveQuadratureIntegrand
) As Double

public:
static double Integrate(
	double intervalStart, 
	double intervalEnd, 
	double tolerance, 
	int numberOfLevels, 
	BurdenFairesAdaptiveQuadratureIntegrand^ integrand
)

static member Integrate : 
        intervalStart : float * 
        intervalEnd : float * 
        tolerance : float * 
        numberOfLevels : int * 
        integrand : BurdenFairesAdaptiveQuadratureIntegrand -> float

Parameters

intervalStart: Type: SystemDouble
The start of the interval in which the function is integrated.
intervalEnd: Type: SystemDouble
The end of the interval in which the function is integrated.
tolerance: Type: SystemDouble
The error tolerance used in the adaptive quadrature technique. Note that this error is multiplied by 10.0 internally.
numberOfLevels: Type: SystemInt32
The number of divisions.
integrand: Type: AGI.Foundation.NumericalMethods.AdvancedBurdenFairesAdaptiveQuadratureIntegrand
The function to be integrated.

Return Value

Type: Double
The value of the integral.

Exceptions

Exception	Condition
ArithmeticException	Thrown when too many steps are taken.

Reference

BurdenFairesAdaptiveQuadrature Class

AGI.Foundation.NumericalMethods.Advanced Namespace

BurdenFairesAdaptiveQuadratureAddLanguageSpecificTextSet("LSTD71D7B29_0?cpp=::|nu=.");Integrate Method

Parameters

Return Value

Reference

BurdenFairesAdaptiveQuadratureIntegrate Method