com.numericalmethod.suanshu.analysis.integration.univariate.riemann
Class Midpoint

java.lang.Object
  com.numericalmethod.suanshu.analysis.integration.univariate.riemann.EulerMaclaurin
      com.numericalmethod.suanshu.analysis.integration.univariate.riemann.Midpoint

All Implemented Interfaces:

Integrator, IterativeIntegrator

public class Midpoint
extends EulerMaclaurin

The Midpoint rule is an OPEN type Newton–Cotes formula.

This implementation extends EulerMaclaurin by specifying N = 3.

See Also:

Wikipedia: Rectangle method

Nested Class Summary

Nested classes/interfaces inherited from class com.numericalmethod.suanshu.analysis.integration.univariate.riemann.EulerMaclaurin

EulerMaclaurin.NewtonCotesType

Field Summary

Fields inherited from class com.numericalmethod.suanshu.analysis.integration.univariate.riemann.EulerMaclaurin

maxIterations, precision, rate, type

Constructor Summary

Midpoint(double precision, int maxIterations)
Construct an integrator that implements the Midpoint rule.

Method Summary

Methods inherited from class com.numericalmethod.suanshu.analysis.integration.univariate.riemann.EulerMaclaurin

h, integrate, maxIterations, next, precision

Methods inherited from class java.lang.Object

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

Constructor Detail

Midpoint

public Midpoint(double precision,
                int maxIterations)

Construct an integrator that implements the Midpoint rule.

Parameters:

precision - the convergence threshold

maxIterations - the maximum number of iterations