Package com.irurueta.numerical.integration

Class SimpsonTrapezoidalQuadratureMatrixIntegrator

java.lang.Object

com.irurueta.numerical.integration.MatrixIntegrator

com.irurueta.numerical.integration.SimpsonMatrixIntegrator<TrapezoidalMatrixQuadrature>

com.irurueta.numerical.integration.SimpsonTrapezoidalQuadratureMatrixIntegrator

public class SimpsonTrapezoidalQuadratureMatrixIntegrator
extends SimpsonMatrixIntegrator<TrapezoidalMatrixQuadrature>

Computes matrix 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). SimpsonTrapezoidalQuadratureMatrixIntegrator will in general be more efficient than TrapezoidalQuadratureMatrixIntegrator (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.SimpsonMatrixIntegrator

EPS

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

DEFAULT_INTEGRATOR_TYPE, DEFAULT_QUADRATURE_TYPE

Constructor Summary

Constructors

Constructor	Description
SimpsonTrapezoidalQuadratureMatrixIntegrator(double a, double b, MatrixSingleDimensionFunctionEvaluatorListener listener)	Constructor with default accuracy.
SimpsonTrapezoidalQuadratureMatrixIntegrator(double a, double b, MatrixSingleDimensionFunctionEvaluatorListener 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.SimpsonMatrixIntegrator

create, create, create, create, getIntegratorType, integrate

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

create, create, create, create

Methods inherited from class java.lang.Object

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

Constructor Details

SimpsonTrapezoidalQuadratureMatrixIntegrator

public SimpsonTrapezoidalQuadratureMatrixIntegrator(double a,
 double b,
 MatrixSingleDimensionFunctionEvaluatorListener listener,
 double eps)
                                             throws com.irurueta.algebra.WrongSizeException

Constructor.

Parameters:

a - Lower limit of integration.

b - Upper limit of integration.

listener - listener to evaluate a single dimension matrix (multivariate) function at required points.

eps - required accuracy.

Throws:

com.irurueta.algebra.WrongSizeException - if size notified by provided listener is invalid.

SimpsonTrapezoidalQuadratureMatrixIntegrator

public SimpsonTrapezoidalQuadratureMatrixIntegrator(double a,
 double b,
 MatrixSingleDimensionFunctionEvaluatorListener listener)
                                             throws com.irurueta.algebra.WrongSizeException

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.

Throws:

com.irurueta.algebra.WrongSizeException - if size notified by provided listener is invalid.

Method Details

getQuadratureType

public QuadratureType getQuadratureType()

Gets type of quadrature.

Specified by:

getQuadratureType in class MatrixIntegrator

Returns:

type of quadrature.