T
- the type of the field elementsFieldODEIntegrator<T>
, FieldButcherArrayProvider<T>
public 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 1/20where q = √21
Constructor | Description |
---|---|
LutherFieldIntegrator(Field<T> field,
T step) |
Simple constructor.
|
Modifier and Type | Method | Description |
---|---|---|
protected org.hipparchus.ode.nonstiff.LutherFieldStateInterpolator<T> |
createInterpolator(boolean forward,
T[][] yDotK,
FieldODEStateAndDerivative<T> globalPreviousState,
FieldODEStateAndDerivative<T> globalCurrentState,
FieldEquationsMapper<T> mapper) |
Create an interpolator.
|
T[][] |
getA() |
Get the internal weights from Butcher array (without the first empty row).
|
T[] |
getB() |
Get the external weights for the high order method from Butcher array.
|
T[] |
getC() |
Get the time steps from Butcher array (without the first zero).
|
acceptStep, addEventHandler, addEventHandler, addStepHandler, clearEventHandlers, clearStepHandlers, computeDerivatives, getCurrentSignedStepsize, getEquations, getEvaluations, getEvaluationsCounter, getEventHandlers, getField, getMaxEvaluations, getName, getStepHandlers, getStepSize, getStepStart, initIntegration, isLastStep, resetOccurred, sanityChecks, setIsLastStep, setMaxEvaluations, setStateInitialized, setStepSize, setStepStart
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
fraction, integrate, singleStep
public T[] getC()
public T[][] getA()
public T[] getB()
protected org.hipparchus.ode.nonstiff.LutherFieldStateInterpolator<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 © 2016–2018 Hipparchus.org. All rights reserved.