Package com.irurueta.numerical.integration

Class SimpsonInfinityMidPointQuadratureIntegrator

java.lang.Object

com.irurueta.numerical.integration.Integrator

com.irurueta.numerical.integration.SimpsonIntegrator<InfinityMidPointQuadrature>

com.irurueta.numerical.integration.SimpsonInfinityMidPointQuadratureIntegrator

public class SimpsonInfinityMidPointQuadratureIntegrator
extends SimpsonIntegrator<InfinityMidPointQuadrature>

Computes function integration by using Simpson's rule and infinity mid-point quadrature. This type of integrator will in general be more efficient than Trapezoidal quadrature integrators (i.e., require fewer function evaluations) when the function to be integrated has a finite fourth derivative (i.e., a continuous third derivative). If you need to integrate from a negative lower limit to positive infinity, you do this by breaking the integral into two pieces at some positive value: SimpsonInfinityMidPointQuadratureIntegrator integrator1 = new SimpsonInfinityMidPointQuadratureIntegrator(-5.0, 2.0, listener); SimpsonInfinityMidPointQuadratureIntegrator integrator2 = new SimpsonInfinityMidPointQuadratureIntegrator(2.0, 1e99, listener); double integral = integrator1.integrate() + integrator2.integrate();

Field Summary

Fields inherited from class com.irurueta.numerical.integration.SimpsonIntegrator

EPS

Fields inherited from class com.irurueta.numerical.integration.Integrator

DEFAULT_INTEGRATOR_TYPE, DEFAULT_QUADRATURE_TYPE

Constructor Summary

Constructors

Constructor	Description
SimpsonInfinityMidPointQuadratureIntegrator(double a, double b, SingleDimensionFunctionEvaluatorListener listener)	Constructor.
SimpsonInfinityMidPointQuadratureIntegrator(double a, double b, SingleDimensionFunctionEvaluatorListener listener, double eps)	Constructor.

Method Summary

Modifier and Type	Method	Description
QuadratureType	getQuadratureType()	Gets type of quadrature.

Methods inherited from class com.irurueta.numerical.integration.SimpsonIntegrator

create, create, create, create, getIntegratorType, integrate

Methods inherited from class com.irurueta.numerical.integration.Integrator

create, create, create, create

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

SimpsonInfinityMidPointQuadratureIntegrator

public SimpsonInfinityMidPointQuadratureIntegrator(double a,
 double b,
 SingleDimensionFunctionEvaluatorListener listener,
 double eps)

Constructor.

Parameters:

a - Lower limit of integration.

b - Upper limit of integration.

listener - listener to evaluate a single dimension function at required points.

eps - required accuracy.

SimpsonInfinityMidPointQuadratureIntegrator

public SimpsonInfinityMidPointQuadratureIntegrator(double a,
 double b,
 SingleDimensionFunctionEvaluatorListener listener)

Constructor.

Parameters:

a - Lower limit of integration.

b - Upper limit of integration.

listener - listener to evaluate a single dimension function at required points.

Method Details

getQuadratureType

public QuadratureType getQuadratureType()

Gets type of quadrature.

Specified by:

getQuadratureType in class Integrator

Returns:

type of quadrature.