org.apache.commons.math3.ode.nonstiff
Class ClassicalRungeKuttaIntegrator

java.lang.Object
  extended by org.apache.commons.math3.ode.AbstractIntegrator
      extended by org.apache.commons.math3.ode.nonstiff.RungeKuttaIntegrator
          extended by org.apache.commons.math3.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:
$Id: ClassicalRungeKuttaIntegrator.java 1416643 2012-12-03 19:37:14Z tn $
See Also:
EulerIntegrator, GillIntegrator, MidpointIntegrator, ThreeEighthesIntegrator

Field Summary
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.math3.ode.AbstractIntegrator
isLastStep, resetOccurred, stepHandlers, stepSize, stepStart
 
Constructor Summary
ClassicalRungeKuttaIntegrator(double step)
          Simple constructor.
 
Method Summary
 
Methods inherited from class org.apache.commons.math3.ode.nonstiff.RungeKuttaIntegrator
integrate
 
Methods inherited from class org.apache.commons.math3.ode.AbstractIntegrator
acceptStep, addEventHandler, addEventHandler, addStepHandler, clearEventHandlers, clearStepHandlers, computeDerivatives, getCurrentSignedStepsize, getCurrentStepStart, getEvaluations, getEvaluationsCounter, getEventHandlers, getExpandable, getMaxEvaluations, getName, getStepHandlers, initIntegration, integrate, 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


Copyright (c) 2003-2013 Apache Software Foundation