Package com.irurueta.numerical.integration

Class RombergTrapezoidalQuadratureIntegrator

java.lang.Object

com.irurueta.numerical.integration.Integrator

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

com.irurueta.numerical.integration.RombergTrapezoidalQuadratureIntegrator

public class RombergTrapezoidalQuadratureIntegrator
extends RombergIntegrator<TrapezoidalQuadrature>

Computes function integration by using Romberg integration.

Field Summary

Fields

Modifier and Type	Field	Description
static final double	EPS	Default accuracy.
private final double[]	h	Successive trapezoidal step sizes.
private final PolynomialInterpolator	interpolator	Polynomial interpolator.
private static final int	JMAX	Maximum number of allowed steps.
private static final int	JMAXP	Maximum number of allowed steps + 1.
private static final int	K	Minimum required number of steps.
private final double[]	s	Successive trapezoidal approximations.

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

eps, q

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

DEFAULT_INTEGRATOR_TYPE, DEFAULT_QUADRATURE_TYPE

Constructor Summary

Constructors

Constructor	Description
RombergTrapezoidalQuadratureIntegrator(double a, double b, SingleDimensionFunctionEvaluatorListener listener)	Constructor with default accuracy.
RombergTrapezoidalQuadratureIntegrator(double a, double b, SingleDimensionFunctionEvaluatorListener listener, double eps)	Constructor.

Method Summary

Modifier and Type	Method	Description
QuadratureType	getQuadratureType()	Gets type of quadrature.
double	integrate()	Integrates function between lower and upper limits defined by provided quadrature.

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

create, create, create, create, getIntegratorType

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

Field Details

EPS

public static final double EPS

Default accuracy.

See Also:

• Constant Field Values

JMAX

private static final int JMAX

Maximum number of allowed steps.

See Also:

• Constant Field Values

JMAXP

private static final int JMAXP

Maximum number of allowed steps + 1.

See Also:

• Constant Field Values

K

private static final int K

Minimum required number of steps.

See Also:

• Constant Field Values

s

private final double[] s

Successive trapezoidal approximations.

h

private final double[] h

Successive trapezoidal step sizes.

interpolator

private final PolynomialInterpolator interpolator

Polynomial interpolator.

Constructor Details

RombergTrapezoidalQuadratureIntegrator

public RombergTrapezoidalQuadratureIntegrator(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.

RombergTrapezoidalQuadratureIntegrator

public RombergTrapezoidalQuadratureIntegrator(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

integrate

public double integrate()
                 throws IntegrationException

Integrates function between lower and upper limits defined by provided quadrature. This implementation is suitable for closed intervals.

Overrides:

integrate in class RombergIntegrator<TrapezoidalQuadrature>

Returns:

result of integration.

Throws:

IntegrationException - if integration fails for numerical reasons.

getQuadratureType

public QuadratureType getQuadratureType()

Gets type of quadrature.

Specified by:

getQuadratureType in class Integrator

Returns:

type of quadrature.