T - the type of the field elementspublic class DormandPrince54FieldIntegrator<T extends RealFieldElement<T>> extends EmbeddedRungeKuttaFieldIntegrator<T>
This integrator is an embedded Runge-Kutta integrator of order 5(4) used in local extrapolation mode (i.e. the solution is computed using the high order formula) with stepsize control (and automatic step initialization) and continuous output. This method uses 7 functions evaluations per step. However, since this is an fsal, the last evaluation of one step is the same as the first evaluation of the next step and hence can be avoided. So the cost is really 6 functions evaluations per step.
This method has been published (whithout the continuous output that was added by Shampine in 1986) in the following article :
A family of embedded Runge-Kutta formulae J. R. Dormand and P. J. Prince Journal of Computational and Applied Mathematics volume 6, no 1, 1980, pp. 19-26
mainSetDimension, scalAbsoluteTolerance, scalRelativeTolerance, vecAbsoluteTolerance, vecRelativeTolerance| Constructor and Description |
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DormandPrince54FieldIntegrator(Field<T> field,
double minStep,
double maxStep,
double[] vecAbsoluteTolerance,
double[] vecRelativeTolerance)
Simple constructor.
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DormandPrince54FieldIntegrator(Field<T> field,
double minStep,
double maxStep,
double scalAbsoluteTolerance,
double scalRelativeTolerance)
Simple constructor.
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| Modifier and Type | Method and Description |
|---|---|
protected org.apache.commons.math3.ode.nonstiff.DormandPrince54FieldStepInterpolator<T> |
createInterpolator(boolean forward,
T[][] yDotK,
FieldODEStateAndDerivative<T> globalPreviousState,
FieldODEStateAndDerivative<T> globalCurrentState,
FieldEquationsMapper<T> mapper)
Create an interpolator.
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protected T |
estimateError(T[][] yDotK,
T[] y0,
T[] y1,
T h)
Compute the error ratio.
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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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int |
getOrder()
Get the order of the method.
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fraction, fraction, getMaxGrowth, getMinReduction, getSafety, integrate, setMaxGrowth, setMinReduction, setSafetyfilterStep, getMaxStep, getMinStep, initializeStep, resetInternalState, sanityChecks, setInitialStepSize, setStepSizeControl, setStepSizeControlacceptStep, addEventHandler, addEventHandler, addStepHandler, clearEventHandlers, clearStepHandlers, computeDerivatives, getCurrentSignedStepsize, getCurrentStepStart, getEquations, getEvaluations, getEvaluationsCounter, getEventHandlers, getField, getMaxEvaluations, getName, getStepHandlers, getStepSize, getStepStart, initIntegration, isLastStep, resetOccurred, setIsLastStep, setMaxEvaluations, setStateInitialized, setStepSize, setStepStartpublic DormandPrince54FieldIntegrator(Field<T> field, double minStep, double maxStep, double scalAbsoluteTolerance, double scalRelativeTolerance)
field - field to which the time and state vector elements belongminStep - minimal step (sign is irrelevant, regardless of
integration direction, forward or backward), the last step can
be smaller than thismaxStep - maximal step (sign is irrelevant, regardless of
integration direction, forward or backward), the last step can
be smaller than thisscalAbsoluteTolerance - allowed absolute errorscalRelativeTolerance - allowed relative errorpublic DormandPrince54FieldIntegrator(Field<T> field, double minStep, double maxStep, double[] vecAbsoluteTolerance, double[] vecRelativeTolerance)
field - field to which the time and state vector elements belongminStep - minimal step (sign is irrelevant, regardless of
integration direction, forward or backward), the last step can
be smaller than thismaxStep - maximal step (sign is irrelevant, regardless of
integration direction, forward or backward), the last step can
be smaller than thisvecAbsoluteTolerance - allowed absolute errorvecRelativeTolerance - allowed relative errorpublic T[] getC()
public T[][] getA()
public T[] getB()
protected org.apache.commons.math3.ode.nonstiff.DormandPrince54FieldStepInterpolator<T> createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)
createInterpolator in class EmbeddedRungeKuttaFieldIntegrator<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 equationspublic int getOrder()
getOrder in class EmbeddedRungeKuttaFieldIntegrator<T extends RealFieldElement<T>>protected T estimateError(T[][] yDotK, T[] y0, T[] y1, T h)
estimateError in class EmbeddedRungeKuttaFieldIntegrator<T extends RealFieldElement<T>>yDotK - derivatives computed during the first stagesy0 - estimate of the step at the start of the stepy1 - estimate of the step at the end of the steph - current stepCopyright © 2003–2016 The Apache Software Foundation. All rights reserved.