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 Details

    • FieldGaussIntegratorFactory

      public FieldGaussIntegratorFactory(Field<T> field)
      Simple constructor.
      Parameters:
      field - field to which function argument and value belong

  • Method Details

    • 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.