org.apache.commons.math3.ode.nonstiff

Class MidpointIntegrator

java.lang.Object

org.apache.commons.math3.ode.AbstractIntegrator

org.apache.commons.math3.ode.nonstiff.RungeKuttaIntegrator

org.apache.commons.math3.ode.nonstiff.MidpointIntegrator

All Implemented Interfaces:

FirstOrderIntegrator, ODEIntegrator

public class MidpointIntegrator
extends RungeKuttaIntegrator

This class implements a second 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
   1/2 | 1/2   0
       |----------
       |  0    1
 

Since:

1.2

See Also:

EulerIntegrator, ClassicalRungeKuttaIntegrator, GillIntegrator, ThreeEighthesIntegrator, LutherIntegrator

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.math3.ode.AbstractIntegrator

isLastStep, resetOccurred, stepHandlers, stepSize, stepStart

Constructor Summary

Constructors

Constructor and Description
MidpointIntegrator(double step) Simple constructor.

Method Summary

Methods inherited from class org.apache.commons.math3.ode.nonstiff.RungeKuttaIntegrator

integrate, singleStep

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

MidpointIntegrator

public MidpointIntegrator(double step)

Simple constructor. Build a midpoint integrator with the given step.

Parameters:

step - integration step