Represents a numerical integrator that uses a non-adaptive
87-point Gauss-Kronrod rule.
Namespace: Extreme.Mathematics.Calculus
Assembly: Extreme.Numerics (Extreme.Numerics)
Syntax
| Visual Basic (Declaration) |
|---|
Public NotInheritable Class NonAdaptiveGaussKronrodIntegrator _ Inherits NumericalIntegrator |
| C# |
|---|
public sealed class NonAdaptiveGaussKronrodIntegrator : NumericalIntegrator |
| C++ |
|---|
public ref class NonAdaptiveGaussKronrodIntegrator sealed : public NumericalIntegrator |
Methods
| Icon | Type | Description |
|---|---|---|
 | Equals(Object) | |
 | Finalize() | |
| GetHashCode() | Serves as a hash function for a particular type. |
| 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() |
Constructors
| Icon | Type | Description |
|---|---|---|
| NonAdaptiveGaussKronrodIntegratorNew() |
Properties
| Icon | Type | Description |
|---|---|---|
 | 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 formula used to
calculate the integral.
|
| 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
The NonAdaptiveGaussKronrodIntegrator class
implements an algorithm that uses a cascade of Gauss-Kronrod
points. Starting out with a 10-point Gauss integration
formula, successive formulas for 21, 43, and 87 points
provide increasing orders of the approximation with
estimates of the error. Once the estimated error is within
the required tolerance, no further function evaluations are
needed. This is an excellent choice for smooth functions
over an extended interval.
Inheritance Hierarchy
System.Object
Extreme.Mathematics.IterativeAlgorithm
Extreme.Mathematics.Calculus.NumericalIntegrator
Extreme.Mathematics.Calculus.NonAdaptiveGaussKronrodIntegrator
Extreme.Mathematics.IterativeAlgorithm
Extreme.Mathematics.Calculus.NumericalIntegrator
Extreme.Mathematics.Calculus.NonAdaptiveGaussKronrodIntegrator
