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

java.lang.Object
  extended by org.apache.commons.math.ode.AbstractIntegrator
      extended by org.apache.commons.math.ode.nonstiff.RungeKuttaIntegrator
          extended by 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: 786881 $ $Date: 2009-06-20 14:53:08 -0400 (Sat, 20 Jun 2009) $
See Also:
EulerIntegrator, GillIntegrator, MidpointIntegrator, ThreeEighthesIntegrator

Field Summary
private static double[][] a
          Internal weights Butcher array.
private static double[] b
          Propagation weights Butcher array.
private static double[] c
          Time steps Butcher array.
 
Fields inherited from class org.apache.commons.math.ode.AbstractIntegrator
eventsHandlersManager, stepHandlers, stepSize, stepStart
 
Constructor Summary
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
addEndTimeChecker, addEventHandler, addStepHandler, clearEventHandlers, clearStepHandlers, computeDerivatives, getCurrentSignedStepsize, getCurrentStepStart, getEvaluations, getEventHandlers, getMaxEvaluations, getName, getStepHandlers, requiresDenseOutput, resetEvaluations, sanityChecks, setEquations, setMaxEvaluations
 
Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
 

Field Detail

c

private static final double[] c
Time steps Butcher array.


a

private static final double[][] a
Internal weights Butcher array.


b

private static final double[] 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


Copyright (c) 2003-2010 Apache Software Foundation