Package com.irurueta.numerical.integration

Class SimpsonTrapezoidalQuadratureIntegrator

java.lang.Object

com.irurueta.numerical.integration.Integrator

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

com.irurueta.numerical.integration.SimpsonTrapezoidalQuadratureIntegrator

public class SimpsonTrapezoidalQuadratureIntegrator
extends SimpsonIntegrator<TrapezoidalQuadrature>

Computes function integration by using Simpson's rule and trapezoidal quadrature. Simpson's method is an optimization of Trapezoidal quadrature integrator. Implementations of this class 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). SimpsonTrapezoidalQuadratureIntegrator will in general be more efficient than TrapezoidalQuadratureIntegrator (i.e. require fewer function evaluations) when the function to be integrated has a finite fourth derivative (i.e. a continuous third derivative, which means that the function is sufficiently smooth).

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
SimpsonTrapezoidalQuadratureIntegrator(double a, double b, SingleDimensionFunctionEvaluatorListener listener)	Constructor with default accuracy.
SimpsonTrapezoidalQuadratureIntegrator(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

SimpsonTrapezoidalQuadratureIntegrator

public SimpsonTrapezoidalQuadratureIntegrator(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.

SimpsonTrapezoidalQuadratureIntegrator

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

Constructor with default accuracy.

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.