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

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

All Implemented Interfaces:

Integrator, IterativeIntegrator

public class Trapezoidal
extends EulerMaclaurin

The Trapezoidal rule is a closed type Newton–Cotes formula, where the integral interval is evenly divided into N sub-intervals. Each sub-interval is divided into two in each iteration.

See Also:

Wikipedia: Trapezoidal rule

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

Trapezoidal(double precision, int maxIterations)
Construct an integrator that uses the Trapezoidal 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

Trapezoidal

public Trapezoidal(double precision,
                   int maxIterations)

Construct an integrator that uses the Trapezoidal rule.

Parameters:

precision - the convergence threshold

maxIterations - the maximum number of iterations