T - the type of the field elementspublic class LutherFieldIntegrator<T extends RealFieldElement<T>> extends RungeKuttaFieldIntegrator<T>
This method is described in H. A. Luther 1968 paper An explicit Sixth-Order Runge-Kutta Formula.
This method is an explicit Runge-Kutta method, its Butcher-array is the following one :
0 | 0 0 0 0 0 0
1 | 1 0 0 0 0 0
1/2 | 3/8 1/8 0 0 0 0
2/3 | 8/27 2/27 8/27 0 0 0
(7-q)/14 | ( -21 + 9q)/392 ( -56 + 8q)/392 ( 336 - 48q)/392 ( -63 + 3q)/392 0 0
(7+q)/14 | (-1155 - 255q)/1960 ( -280 - 40q)/1960 ( 0 - 320q)/1960 ( 63 + 363q)/1960 ( 2352 + 392q)/1960 0
1 | ( 330 + 105q)/180 ( 120 + 0q)/180 ( -200 + 280q)/180 ( 126 - 189q)/180 ( -686 - 126q)/180 ( 490 - 70q)/180
|--------------------------------------------------------------------------------------------------------------------------------------------------
| 1/20 0 16/45 0 49/180 49/180 1/20
where q = √21| Constructor and Description |
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LutherFieldIntegrator(Field<T> field,
T step)
Simple constructor.
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| Modifier and Type | Method and Description |
|---|---|
protected org.apache.commons.math3.ode.nonstiff.LutherFieldStepInterpolator<T> |
createInterpolator(boolean forward,
T[][] yDotK,
FieldODEStateAndDerivative<T> globalPreviousState,
FieldODEStateAndDerivative<T> globalCurrentState,
FieldEquationsMapper<T> mapper)
Create an interpolator.
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T[][] |
getA()
Get the internal weights from Butcher array (without the first empty row).
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T[] |
getB()
Get the external weights for the high order method from Butcher array.
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T[] |
getC()
Get the time steps from Butcher array (without the first zero).
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fraction, integrate, singleStepacceptStep, addEventHandler, addEventHandler, addStepHandler, clearEventHandlers, clearStepHandlers, computeDerivatives, getCurrentSignedStepsize, getCurrentStepStart, getEquations, getEvaluations, getEvaluationsCounter, getEventHandlers, getField, getMaxEvaluations, getName, getStepHandlers, getStepSize, getStepStart, initIntegration, isLastStep, resetOccurred, sanityChecks, setIsLastStep, setMaxEvaluations, setStateInitialized, setStepSize, setStepStartpublic T[] getC()
public T[][] getA()
public T[] getB()
protected org.apache.commons.math3.ode.nonstiff.LutherFieldStepInterpolator<T> createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)
createInterpolator in class RungeKuttaFieldIntegrator<T extends RealFieldElement<T>>forward - integration direction indicatoryDotK - slopes at the intermediate pointsglobalPreviousState - start of the global stepglobalCurrentState - end of the global stepmapper - equations mapper for the all equationsCopyright © 2003–2016 The Apache Software Foundation. All rights reserved.