Package org.hipparchus.analysis.integration

Class FieldRombergIntegrator<T extends CalculusFieldElement<T>>

java.lang.Object

org.hipparchus.analysis.integration.BaseAbstractFieldUnivariateIntegrator<T>

org.hipparchus.analysis.integration.FieldRombergIntegrator<T>

Type Parameters:

T - Type of the field elements.

All Implemented Interfaces:

FieldUnivariateIntegrator<T>

public class FieldRombergIntegrator<T extends CalculusFieldElement<T>>
extends BaseAbstractFieldUnivariateIntegrator<T>

Implements the Romberg Algorithm for integration of real univariate functions. For reference, see Introduction to Numerical Analysis, ISBN 038795452X, chapter 3.

Romberg integration employs k successive refinements of the trapezoid rule to remove error terms less than order O(N^(-2k)). Simpson's rule is a special case of k = 2.

Since:

2.0

Field Summary

Fields

Modifier and Type	Field	Description
static final int	ROMBERG_MAX_ITERATIONS_COUNT	Maximal number of iterations for Romberg.

Fields inherited from class org.hipparchus.analysis.integration.BaseAbstractFieldUnivariateIntegrator

DEFAULT_ABSOLUTE_ACCURACY, DEFAULT_MAX_ITERATIONS_COUNT, DEFAULT_MIN_ITERATIONS_COUNT, DEFAULT_RELATIVE_ACCURACY, iterations

Constructor Summary

Constructors

Constructor	Description
FieldRombergIntegrator(Field<T> field)	Construct a Romberg integrator with default settings
FieldRombergIntegrator(Field<T> field, double relativeAccuracy, double absoluteAccuracy, int minimalIterationCount, int maximalIterationCount)	Build a Romberg integrator with given accuracies and iterations counts.
FieldRombergIntegrator(Field<T> field, int minimalIterationCount, int maximalIterationCount)	Build a Romberg integrator with given iteration counts.

Method Summary

Modifier and Type	Method	Description
protected T	doIntegrate()	Method for implementing actual integration algorithms in derived classes.

Methods inherited from class org.hipparchus.analysis.integration.BaseAbstractFieldUnivariateIntegrator

computeObjectiveValue, getAbsoluteAccuracy, getEvaluations, getField, getIterations, getMax, getMaximalIterationCount, getMin, getMinimalIterationCount, getRelativeAccuracy, integrate, setup

Methods inherited from class java.lang.Object

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

Field Details

ROMBERG_MAX_ITERATIONS_COUNT

public static final int ROMBERG_MAX_ITERATIONS_COUNT

Maximal number of iterations for Romberg.

See Also:

• Constant Field Values

Constructor Details

FieldRombergIntegrator

public FieldRombergIntegrator(Field<T> field,
 double relativeAccuracy,
 double absoluteAccuracy,
 int minimalIterationCount,
 int maximalIterationCount)
                       throws MathIllegalArgumentException

Build a Romberg integrator with given accuracies and iterations counts.

Parameters:

field - field to which function argument and value belong

relativeAccuracy - relative accuracy of the result

absoluteAccuracy - absolute accuracy of the result

minimalIterationCount - minimum number of iterations

maximalIterationCount - maximum number of iterations (must be less than or equal to ROMBERG_MAX_ITERATIONS_COUNT)

Throws:

MathIllegalArgumentException - if minimal number of iterations is not strictly positive

MathIllegalArgumentException - if maximal number of iterations is lesser than or equal to the minimal number of iterations

MathIllegalArgumentException - if maximal number of iterations is greater than ROMBERG_MAX_ITERATIONS_COUNT

FieldRombergIntegrator

public FieldRombergIntegrator(Field<T> field,
 int minimalIterationCount,
 int maximalIterationCount)
                       throws MathIllegalArgumentException

Build a Romberg integrator with given iteration counts.

Parameters:

field - field to which function argument and value belong

minimalIterationCount - minimum number of iterations

maximalIterationCount - maximum number of iterations (must be less than or equal to ROMBERG_MAX_ITERATIONS_COUNT)

Throws:

MathIllegalArgumentException - if minimal number of iterations is not strictly positive

MathIllegalArgumentException - if maximal number of iterations is lesser than or equal to the minimal number of iterations

MathIllegalArgumentException - if maximal number of iterations is greater than ROMBERG_MAX_ITERATIONS_COUNT

FieldRombergIntegrator

public FieldRombergIntegrator(Field<T> field)

Construct a Romberg integrator with default settings

Parameters:

field - field to which function argument and value belong (max iteration count set to ROMBERG_MAX_ITERATIONS_COUNT)

Method Details

doIntegrate

protected T doIntegrate()
                 throws MathIllegalStateException

Method for implementing actual integration algorithms in derived classes.

Specified by:

doIntegrate in class BaseAbstractFieldUnivariateIntegrator<T extends CalculusFieldElement<T>>

Returns:

the root.

Throws:

MathIllegalStateException - if the maximal number of evaluations is exceeded.