Represents a numerical integrator that uses a 31 point Gauss-Kronrod rule.

Namespace: Extreme.Mathematics.Calculus
Assembly: Extreme.Numerics (Extreme.Numerics)

Syntax

Visual Basic (Declaration)
Public NotInheritable Class GaussKronrodIntegrator31 _
	Inherits GaussKronrodIntegrator
C#
public sealed class GaussKronrodIntegrator31 : GaussKronrodIntegrator
C++
public ref class GaussKronrodIntegrator31 sealed : public GaussKronrodIntegrator

Methods

IconTypeDescription
Equals(Object)
Determines whether the specified Object is equal to the current Object.
Finalize()
Allows an Object to attempt to free resources and perform other cleanup operations before the Object is reclaimed by garbage collection.
GetGaussWeights()
Gets an array of Double values specifying the weights associated with the Gaussian quadrature points for this GaussKronrodIntegrator.
GetHashCode()
Serves as a hash function for a particular type.
GetKronrodPoints()
Gets an array of Double values specifying the Kronrod quadrature points for this GaussKronrodIntegrator.
GetKronrodWeights()
Gets an array of Double values specifying the weights associated with the Kronrod quadrature points for this GaussKronrodIntegrator.
GetType()
Gets the Type of the current instance.
IncrementEvaluations()
Increments the number of evaluations by one.
IncrementEvaluations(Int32)
Increments the number of evaluations by the specified amount.
Integrate()
Numerically integrates a function of one variable.
Integrate(Double, Double)
Numerically integrates a function of one variable.
Integrate(RealFunction, Double, Double)
Numerically integrates a function of one variable.
MemberwiseClone()
Creates a shallow copy of the current Object.
SetResultProperties(Object, Double, AlgorithmStatus, Int32)
Sets the results of an algorithm's execution.
SetResultProperties(Object, Double)
Sets the results of an algorithm's execution.
ThrowException()
Interprets the AlgorithmStatus and throws the appropriate exception.
ToString()
Returns a String that represents the current Object.

Constructors

Properties

IconTypeDescription
AbsoluteTolerance
Gets or sets the absolute tolerance used in the convergence test.
ConvergenceCriterion
Gets or sets a value specifying the criterion that is to be used in the convergence test for the algorithm.
EstimatedError
Gets a value indicating the size of the absolute error of the result.
EvaluationsNeeded
Gets the number of evaluations needed to execute the algorithm.
EvaluationsRemaining
Gets the number of evaluations still available.
FunctionEvaluationsNeeded
Gets the number of function evaluations performed by the algorithm.
Integrand
Gets or sets the function to integrate.
IterationResultCode
Gets the AlgorithmStatus following an execution of the algorithm.
IterationsNeeded
Gets the number of iterations needed by the algorithm to reach the desired accuracy.
IterationsRemaining
Gets the number of iterations remaining.
LowerBound
Gets or sets the lower bound of the integration interval.
MaxEvaluations
Gets or sets the maximum number of evaluations during the calculation.
MaxIterations
Gets or sets the maximum number of iterations to use when approximating the roots of the target function.
Order
Gets the order of the Gauss-Kronrod integrator.
RelativeTolerance
Gets or sets the relative tolerance used in the convergence test.
Result
Gets the result of an algorithm after it has executed.
Status
Gets the AlgorithmStatus following an execution of the algorithm.
ThrowExceptionOnFailure
Gets or sets a value indicating whether to throw an exception when the algorithm fails to converge.
UpperBound
Gets or sets the upper bound of the integration interval.

Remarks

This class is used mainly as an integration rule for the AdaptiveIntegrator class. As there is no way to guarantee the accuracy of the approximation, its use in other contexts is limited.

Inheritance Hierarchy