Package org.hipparchus.analysis.integration.gauss

Class FieldGaussIntegratorFactory<T extends CalculusFieldElement<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 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.