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

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.GillIntegrator
All Implemented Interfaces:
FirstOrderIntegrator, ODEIntegrator

public class GillIntegrator
extends RungeKuttaIntegrator

This class implements the Gill fourth order Runge-Kutta integrator for Ordinary Differential Equations .

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 | (q-1)/2  (2-q)/2    0      0
    1  |    0       -q/2  (2+q)/2   0
       |-------------------------------
       |   1/6    (2-q)/6 (2+q)/6  1/6
 
where q = sqrt(2)

Since:
1.2
Version:
$Revision: 786881 $ $Date: 2009-06-20 14:53:08 -0400 (Sat, 20 Jun 2009) $
See Also:
EulerIntegrator, ClassicalRungeKuttaIntegrator, 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
GillIntegrator(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

GillIntegrator

public GillIntegrator(double step)
Simple constructor. Build a fourth-order Gill integrator with the given step.

Parameters:
step - integration step


Copyright (c) 2003-2009 Apache Software Foundation