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

Class Trapezoidal

java.lang.Object

com.numericalmethod.suanshu.analysis.integration.univariate.riemann.NewtonCotes

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

All Implemented Interfaces:

Integrator, IterativeIntegrator, java.io.Serializable

public class Trapezoidal
extends NewtonCotes

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, Serialized Form

Nested Class Summary

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

NewtonCotes.Type

Constructor Summary

Constructors

Constructor and Description
Trapezoidal(double precision, int maxIterations) Construct an integrator that implements the Trapezoidal rule.

Method Summary

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

getMaxIterations, getPrecision, h, integrate, next

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 implements the Trapezoidal rule.

Parameters:

precision - the convergence threshold

maxIterations - the maximum number of iterations