fr.cnes.sirius.patrius.math.ode.nonstiff

Class RungeKutta6Integrator

java.lang.Object

java.util.Observable

fr.cnes.sirius.patrius.math.ode.AbstractIntegrator

fr.cnes.sirius.patrius.math.ode.nonstiff.RungeKuttaIntegrator

fr.cnes.sirius.patrius.math.ode.nonstiff.RungeKutta6Integrator

All Implemented Interfaces:

FirstOrderIntegrator, ODEIntegrator, Serializable

public class RungeKutta6Integrator
extends RungeKuttaIntegrator

A 6th order Runge-Kutta Integrators.

Implementation of a sixth order Runge-Kutta integrator for STELA.

Butcher array : from Butcher (2016) Numerical methods for ordinary differential equations

     0  |     0        0        0        0        0        0        0
    1/3 |    1/3       0        0        0        0        0        0
    2/3 |     0       2/3       0        0        0        0        0
    1/3 |    1/12     1/3     -1/12      0        0        0        0
    5/6 |   25/48   -55/24    35/48    15/8       0        0        0
    1/6 |    3/20   -11/24    -1/8      1/2      1/10      0        0
     1  | -261/260   33/13    43/156 -118/39    32/195   80/39      0
        |----------------------------------------------------------------
        |   13/200     0      11/40    11/40     4/25     4/25    13/200
 

Warning: This interpolator currently performs a 6th order interpolation issued from article Dense output for strong stability preserving Runge–Kutta methods, D. Ketcheson, 2016.
Accuracy is however below 1m for standard timestep.

Since:

1.3

Version:

1.3

Author:

Cedric Dental

See Also:

RungeKuttaIntegrator, Serialized Form

Concurrency :

not thread-safe

Field Summary

Fields inherited from class fr.cnes.sirius.patrius.math.ode.AbstractIntegrator

isLastStep, lastStepHandle, resetOccurred, stepHandlers, stepSize, stepStart

Constructor Summary

Constructors

Constructor and Description
RungeKutta6Integrator(double step) Simple constructor.

Method Summary

Modifier and Type	Method and Description
static RungeKutta6StepInterpolator	buildRK6StepInterpolator(double[][] a, int stagesNumber, int interpolatorOrder) Build a Runge-Kutta step interpolator of order interpolatorOrder, based on the integrator data.

Methods inherited from class fr.cnes.sirius.patrius.math.ode.nonstiff.RungeKuttaIntegrator

integrate

Methods inherited from class fr.cnes.sirius.patrius.math.ode.AbstractIntegrator

acceptStep, addEventHandler, addEventHandler, addStepHandler, avoidOvershoot, clearEventHandlers, clearStepHandlers, computeDerivatives, getCurrentSignedStepsize, getCurrentStepStart, getEvaluations, getEventHandlers, getMaxEvaluations, getName, getStepHandlers, handleLastStep, initIntegration, integrate, removeEventState, sanityChecks, setEquations, setMaxEvaluations, setStateInitialized

Methods inherited from class java.util.Observable

addObserver, clearChanged, countObservers, deleteObserver, deleteObservers, hasChanged, notifyObservers, notifyObservers, setChanged

Methods inherited from class java.lang.Object

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

Constructor Detail

RungeKutta6Integrator

public RungeKutta6Integrator(double step)

Simple constructor.
Build a sixth-order Runge-Kutta integrator with the given step.

Parameters:

step - integration step

Method Detail

buildRK6StepInterpolator

public static RungeKutta6StepInterpolator buildRK6StepInterpolator(double[][] a,
                                                                   int stagesNumber,
                                                                   int interpolatorOrder)

Build a Runge-Kutta step interpolator of order interpolatorOrder, based on the integrator data.
Note that the required configuration may have no solution.

Parameters:

a - Runge-Kutta A butcher array

stagesNumber - integrator stages number

interpolatorOrder - interpolator order

Returns:

Runge-Kutta step interpolator of required order