Class NumericalIntegration

java.lang.Object

org.episteme.core.mathematics.analysis.integration.NumericalIntegration

public class NumericalIntegration
extends Object

Numerical integration methods.

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Constructor Summary

Constructors

Constructor	Description
NumericalIntegration()

Method Summary

Modifier and Type	Method	Description
static double	adaptiveSimpson(DoubleUnaryOperator f, double a, double b, double tol, int maxDepth)	Adaptive Simpson's rule with error control.
static double	gaussLegendre(DoubleUnaryOperator f, double a, double b)	Gaussian quadrature (Gauss-Legendre, 5 points).
static double	integrateData(double[] x, double[] y)	Integrate tabulated data using trapezoidal rule.
static double	romberg(DoubleUnaryOperator f, double a, double b, int maxLevel)	Romberg integration (Richardson extrapolation of trapezoidal).
static double	simpson(DoubleUnaryOperator f, double a, double b, int n)	Simpson's rule.
static double	trapezoidal(DoubleUnaryOperator f, double a, double b, int n)	Trapezoidal rule.

Methods inherited from class Object

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

Constructor Details

NumericalIntegration

public NumericalIntegration()

Method Details

trapezoidal

public static double trapezoidal(DoubleUnaryOperator f,
 double a,
 double b,
 int n)

Trapezoidal rule.

simpson

public static double simpson(DoubleUnaryOperator f,
 double a,
 double b,
 int n)

Simpson's rule.

romberg

public static double romberg(DoubleUnaryOperator f,
 double a,
 double b,
 int maxLevel)

Romberg integration (Richardson extrapolation of trapezoidal).

gaussLegendre

public static double gaussLegendre(DoubleUnaryOperator f,
 double a,
 double b)

Gaussian quadrature (Gauss-Legendre, 5 points).

adaptiveSimpson

public static double adaptiveSimpson(DoubleUnaryOperator f,
 double a,
 double b,
 double tol,
 int maxDepth)

Adaptive Simpson's rule with error control.

integrateData

public static double integrateData(double[] x,
 double[] y)

Integrate tabulated data using trapezoidal rule.