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: 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. |
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 |
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.
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