 | Gauss |
Class GaussKronrodIntegrator calculates an approximation of the integral
of a function over a finite interval using Gauss-Kronrod rules.
Inheritance HierarchySystemObject
CenterSpace.NMath.CoreGaussKronrod21Integrator
CenterSpace.NMath.CoreGaussKronrod43Integrator
CenterSpace.NMath.CoreGaussKronrod87Integrator
CenterSpace.NMath.CoreGaussKronrodIntegrator
CenterSpace.NMath.CoreGaussKronrod21Integrator
CenterSpace.NMath.CoreGaussKronrod43Integrator
CenterSpace.NMath.CoreGaussKronrod87Integrator
CenterSpace.NMath.CoreGaussKronrodIntegrator
Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4
SyntaxThe GaussKronrodIntegrator type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | GaussKronrodIntegrator | Default constructor. Constructs a GaussKronrodIntegrator instance that can be used to integrate a function. A default tolerance is used. |
| GaussKronrodIntegrator(Double) | Constructs a GaussKronrodIntegrator instance that can be used to integrate a function. |
Properties| Name | Description | |
|---|---|---|
  | DefaultTolerance | Default tolerance for instances of GaussKronrodIntegrator. |
| PreviousEstimate |
Gets the integral approximation calculated using the Gauss 10-point rule.
(Inherited from GaussKronrod21Integrator) |
| RelativeErrorEstimate |
Gets an estimate of the relative error for the integral approximation.
(Inherited from GaussKronrod21Integrator) |
| Tolerance | Gets and sets the error tolerance. |
| ToleranceMet | Gets a boolean value indicating whether or not the integral estimate is less than the tolerance scaled by the integration result. |
Methods| Name | Description | |
|---|---|---|
| Clone |
Creates a deep copy of this integrator.
(Overrides GaussKronrod87IntegratorClone) |
 | GetGauss10PointEstimate |
Gets the 10 point Gauss Quadrature estimate of the integral of the function.
(Inherited from GaussKronrod21Integrator) |
| InitialEstimate |
Calculates the Kronrod 21 point integral approximation and initializes instance
data.
(Inherited from GaussKronrod21Integrator) |
| Integrate(OneVariableFunction, DoubleVector, DoubleVector) |
Uses the Gauss Kronrod algorithm to integrate the specified function
using the specified nodes and weights.
(Inherited from GaussKronrod21Integrator) |
| Integrate(OneVariableFunction, Double, Double) |
Estimates the integral of the specified function over the given
interval.
(Overrides GaussKronrod87IntegratorIntegrate(OneVariableFunction, Double, Double)) |
| RescaleError |
Rescales the absolute error estimate to a relative one.
(Inherited from GaussKronrod21Integrator) |
| Translate |
Function that maps translates points to the integral of integration.
(Inherited from GaussKronrod21Integrator) |
Fields| Name | Description | |
|---|---|---|
 | absFunctionEstimate_ |
Value if the integral of the absolute value of the
integrand.
(Inherited from GaussKronrod21Integrator) |
| absScaledFunctionEstimate_ |
Value of the integral of the absolute value of the integrand
minus the estimate of the integrands integral.
(Inherited from GaussKronrod21Integrator) |
| functionValueAtCenter_ |
Value of the integrand at the center of the interval.
(Inherited from GaussKronrod21Integrator) |
| functionValues_ |
Saved function values.
(Inherited from GaussKronrod21Integrator) |
| intervalCenter_ |
The center of the integration interval.
(Inherited from GaussKronrod21Integrator) |
| intervalHalfLength_ |
Half length of the integration interval.
(Inherited from GaussKronrod21Integrator) |
| previousEstimate_ |
The integral approximation calculated using the Gauss 10-point rule.
(Inherited from GaussKronrod21Integrator) |
| relativeErrorEstimate_ |
Estimate of the relative error.
(Inherited from GaussKronrod21Integrator) |
Remarks
Integration approximation proceeds by using Gauss-Kronrod rules with
increasing number of subdivisions. Approximation ends when the estimated
error is less than a specified tolerance or when the maximum number
of subdivisions is reached.
See Also