org.apache.commons.math.ode.nonstiff

Class ClassicalRungeKuttaIntegrator

java.lang.Object

org.apache.commons.math.ode.AbstractIntegrator

org.apache.commons.math.ode.nonstiff.RungeKuttaIntegrator

org.apache.commons.math.ode.nonstiff.ClassicalRungeKuttaIntegrator

All Implemented Interfaces:

FirstOrderIntegrator, ODEIntegrator

public class ClassicalRungeKuttaIntegrator
extends RungeKuttaIntegrator

This class implements the classical fourth order Runge-Kutta integrator for Ordinary Differential Equations (it is the most often used Runge-Kutta method).

This method is an explicit Runge-Kutta method, its Butcher-array is the following one :

    0  |  0    0    0    0
   1/2 | 1/2   0    0    0
   1/2 |  0   1/2   0    0
    1  |  0    0    1    0
       |--------------------
       | 1/6  1/3  1/3  1/6
 

Since:

1.2

Version:

$Revision: 810196 $ $Date: 2009-09-01 21:47:46 +0200 (mar. 01 sept. 2009) $

See Also:

EulerIntegrator, GillIntegrator, MidpointIntegrator, ThreeEighthesIntegrator

Field Summary

Fields

Modifier and Type	Field and Description
private static double[][]	STATIC_A Internal weights Butcher array.
private static double[]	STATIC_B Propagation weights Butcher array.
private static double[]	STATIC_C Time steps Butcher array.

Fields inherited from class org.apache.commons.math.ode.AbstractIntegrator

isLastStep, resetOccurred, stepHandlers, stepSize, stepStart

Constructor Summary

Constructors

Constructor and Description
ClassicalRungeKuttaIntegrator(double step) Simple constructor.

Method Summary

Methods inherited from class org.apache.commons.math.ode.nonstiff.RungeKuttaIntegrator

integrate

Methods inherited from class org.apache.commons.math.ode.AbstractIntegrator

acceptStep, addEndTimeChecker, addEventHandler, addStepHandler, clearEventHandlers, clearStepHandlers, computeDerivatives, getCurrentSignedStepsize, getCurrentStepStart, getEvaluations, getEventHandlers, getMaxEvaluations, getName, getStepHandlers, requiresDenseOutput, resetEvaluations, sanityChecks, setEquations, setMaxEvaluations, setStateInitialized

Methods inherited from class java.lang.Object

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

Field Detail

STATIC_C

private static final double[] STATIC_C

Time steps Butcher array.

STATIC_A

private static final double[][] STATIC_A

Internal weights Butcher array.

STATIC_B

private static final double[] STATIC_B

Propagation weights Butcher array.

Constructor Detail

ClassicalRungeKuttaIntegrator

public ClassicalRungeKuttaIntegrator(double step)

Simple constructor. Build a fourth-order Runge-Kutta integrator with the given step.

Parameters:

step - integration step