Package org.hipparchus.ode.nonstiff

Class MidpointIntegrator

java.lang.Object

org.hipparchus.ode.AbstractIntegrator

org.hipparchus.ode.nonstiff.FixedStepRungeKuttaIntegrator

org.hipparchus.ode.nonstiff.MidpointIntegrator

All Implemented Interfaces:

ButcherArrayProvider, ExplicitRungeKuttaIntegrator, ODEIntegrator

public class MidpointIntegrator
extends FixedStepRungeKuttaIntegrator

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
 

See Also:

• EulerIntegrator
• ClassicalRungeKuttaIntegrator
• GillIntegrator
• ThreeEighthesIntegrator
• LutherIntegrator

Field Summary

Fields

Modifier and Type	Field	Description
static final String	METHOD_NAME	Name of integration scheme.

Constructor Summary

Constructors

Constructor	Description
MidpointIntegrator(double step)	Simple constructor.

Method Summary

Modifier and Type	Method	Description
protected MidpointStateInterpolator	createInterpolator(boolean forward, double[][] yDotK, ODEStateAndDerivative globalPreviousState, ODEStateAndDerivative globalCurrentState, EquationsMapper mapper)	Create an interpolator.
double[][]	getA()	Get the internal weights from Butcher array (without the first empty row).
double[]	getB()	Get the external weights for the high order method from Butcher array.
double[]	getC()	Get the time steps from Butcher array (without the first zero).

Methods inherited from class org.hipparchus.ode.nonstiff.FixedStepRungeKuttaIntegrator

getDefaultStep, integrate

Methods inherited from class org.hipparchus.ode.AbstractIntegrator

acceptStep, addEventDetector, addStepEndHandler, addStepHandler, clearEventDetectors, clearStepEndHandlers, clearStepHandlers, computeDerivatives, getCurrentSignedStepsize, getEquations, getEvaluations, getEvaluationsCounter, getEventDetectors, getMaxEvaluations, getName, getStepEndHandlers, getStepHandlers, getStepSize, getStepStart, incrementEvaluations, initIntegration, isLastStep, resetOccurred, sanityChecks, setIsLastStep, setMaxEvaluations, setStateInitialized, setStepSize, setStepStart

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface org.hipparchus.ode.nonstiff.ExplicitRungeKuttaIntegrator

getNumberOfStages, singleStep

Methods inherited from interface org.hipparchus.ode.ODEIntegrator

addEventDetector, addStepEndHandler, addStepHandler, clearEventDetectors, clearStepEndHandlers, clearStepHandlers, getCurrentSignedStepsize, getEvaluations, getEventDetectors, getMaxEvaluations, getName, getStepEndHandlers, getStepHandlers, getStepStart, integrate, setMaxEvaluations

Field Details

METHOD_NAME

public static final String METHOD_NAME

Name of integration scheme.

See Also:

• Constant Field Values

Constructor Details

MidpointIntegrator

public MidpointIntegrator(double step)

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

Parameters:

step - integration step

Method Details

getC

public double[] getC()

Get the time steps from Butcher array (without the first zero).

Returns:

time steps from Butcher array (without the first zero

getA

public double[][] getA()

Get the internal weights from Butcher array (without the first empty row).

Returns:

internal weights from Butcher array (without the first empty row)

getB

public double[] getB()

Get the external weights for the high order method from Butcher array.

Returns:

external weights for the high order method from Butcher array

createInterpolator

protected MidpointStateInterpolator createInterpolator(boolean forward,
 double[][] yDotK,
 ODEStateAndDerivative globalPreviousState,
 ODEStateAndDerivative globalCurrentState,
 EquationsMapper mapper)

Create an interpolator.

Specified by:

createInterpolator in class FixedStepRungeKuttaIntegrator

Parameters:

forward - integration direction indicator

yDotK - slopes at the intermediate points

globalPreviousState - start of the global step

globalCurrentState - end of the global step

mapper - equations mapper for the all equations

Returns:

external weights for the high order method from Butcher array