Package org.hipparchus.analysis.integration.gauss

Class FieldGaussIntegratorFactory<T extends CalculusFieldElement<T>>

java.lang.Object

org.hipparchus.analysis.integration.gauss.FieldGaussIntegratorFactory<T>

Type Parameters:

T - Type of the field elements.

public class FieldGaussIntegratorFactory<T extends CalculusFieldElement<T>>
extends Object

Class that provides different ways to compute the nodes and weights to be used by the Gaussian integration rule.

Since:

2.0

Constructor Summary

Constructors

Constructor	Description
FieldGaussIntegratorFactory(Field<T> field)	Simple constructor.

Method Summary

Modifier and Type	Method	Description
SymmetricFieldGaussIntegrator<T>	hermite(int numberOfPoints)	Creates a Gauss-Hermite integrator of the given order.
FieldGaussIntegrator<T>	laguerre(int numberOfPoints)	Creates a Gauss-Laguerre integrator of the given order.
FieldGaussIntegrator<T>	legendre(int numberOfPoints)	Creates a Gauss-Legendre integrator of the given order.
FieldGaussIntegrator<T>	legendre(int numberOfPoints, T lowerBound, T upperBound)	Creates a Gauss-Legendre integrator of the given order.

Methods inherited from class java.lang.Object

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

Constructor Detail

FieldGaussIntegratorFactory

public FieldGaussIntegratorFactory(Field<T> field)

Simple constructor.

Parameters:

field - field to which function argument and value belong

Method Detail

laguerre

public FieldGaussIntegrator<T> laguerre(int numberOfPoints)

Creates a Gauss-Laguerre integrator of the given order. The call to the integrate method will perform an integration on the interval \([0, +\infty)\): the computed value is the improper integral of \(e^{-x} f(x)\) where \(f(x)\) is the function passed to the integrate method.

Parameters:

numberOfPoints - Order of the integration rule.

Returns:

a Gauss-Legendre integrator.

legendre

public FieldGaussIntegrator<T> legendre(int numberOfPoints)

Creates a Gauss-Legendre integrator of the given order. The call to the integrate method will perform an integration on the natural interval [-1 , 1].

Parameters:

numberOfPoints - Order of the integration rule.

Returns:

a Gauss-Legendre integrator.

legendre

public FieldGaussIntegrator<T> legendre(int numberOfPoints,
                                        T lowerBound,
                                        T upperBound)
                                 throws MathIllegalArgumentException

Creates a Gauss-Legendre integrator of the given order. The call to the integrate method will perform an integration on the given interval.

Parameters:

numberOfPoints - Order of the integration rule.

lowerBound - Lower bound of the integration interval.

upperBound - Upper bound of the integration interval.

Returns:

a Gauss-Legendre integrator.

Throws:

MathIllegalArgumentException - if number of points is not positive

hermite

public SymmetricFieldGaussIntegrator<T> hermite(int numberOfPoints)

Creates a Gauss-Hermite integrator of the given order. The call to the integrate method will perform a weighted integration on the interval \([-\infty, +\infty]\): the computed value is the improper integral of \(e^{-x^2}f(x)\) where \(f(x)\) is the function passed to the integrate method.

Parameters:

numberOfPoints - Order of the integration rule.

Returns:

a Gauss-Hermite integrator.