public abstract class AdamsIntegrator extends MultistepIntegrator
Adams-Bashforth and
Adams-Moulton integrators.MultistepIntegrator.NordsieckTransformernordsieck, scaledmainSetDimension, scalAbsoluteTolerance, scalRelativeTolerance, vecAbsoluteTolerance, vecRelativeToleranceisLastStep, resetOccurred, stepHandlers, stepSize, stepStart| Constructor and Description |
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AdamsIntegrator(String name,
int nSteps,
int order,
double minStep,
double maxStep,
double[] vecAbsoluteTolerance,
double[] vecRelativeTolerance)
Build an Adams integrator with the given order and step control parameters.
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AdamsIntegrator(String name,
int nSteps,
int order,
double minStep,
double maxStep,
double scalAbsoluteTolerance,
double scalRelativeTolerance)
Build an Adams integrator with the given order and step control parameters.
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| Modifier and Type | Method and Description |
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protected Array2DRowRealMatrix |
initializeHighOrderDerivatives(double h,
double[] t,
double[][] y,
double[][] yDot)
Initialize the high order scaled derivatives at step start.
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abstract void |
integrate(ExpandableStatefulODE equations,
double t)
Integrate a set of differential equations up to the given time.
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Array2DRowRealMatrix |
updateHighOrderDerivativesPhase1(Array2DRowRealMatrix highOrder)
Update the high order scaled derivatives for Adams integrators (phase 1).
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void |
updateHighOrderDerivativesPhase2(double[] start,
double[] end,
Array2DRowRealMatrix highOrder)
Update the high order scaled derivatives Adams integrators (phase 2).
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computeStepGrowShrinkFactor, getMaxGrowth, getMinReduction, getNSteps, getSafety, getStarterIntegrator, setMaxGrowth, setMinReduction, setSafety, setStarterIntegrator, startfilterStep, getCurrentStepStart, getMaxStep, getMinStep, initializeStep, resetInternalState, sanityChecks, setInitialStepSize, setStepSizeControl, setStepSizeControlacceptStep, addEventHandler, addEventHandler, addStepHandler, clearEventHandlers, clearStepHandlers, computeDerivatives, getCounter, getCurrentSignedStepsize, getEvaluations, getEvaluationsCounter, getEventHandlers, getExpandable, getMaxEvaluations, getName, getStepHandlers, initIntegration, integrate, setEquations, setMaxEvaluations, setStateInitializedpublic AdamsIntegrator(String name, int nSteps, int order, double minStep, double maxStep, double scalAbsoluteTolerance, double scalRelativeTolerance) throws NumberIsTooSmallException
name - name of the methodnSteps - number of steps of the method excluding the one being computedorder - order of the methodminStep - 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 errorNumberIsTooSmallException - if order is 1 or lesspublic AdamsIntegrator(String name, int nSteps, int order, double minStep, double maxStep, double[] vecAbsoluteTolerance, double[] vecRelativeTolerance) throws IllegalArgumentException
name - name of the methodnSteps - number of steps of the method excluding the one being computedorder - order of the methodminStep - 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 errorIllegalArgumentException - if order is 1 or lesspublic abstract void integrate(ExpandableStatefulODE equations, double t) throws NumberIsTooSmallException, DimensionMismatchException, MaxCountExceededException, NoBracketingException
This method solves an Initial Value Problem (IVP).
The set of differential equations is composed of a main set, which can be extended by some sets of secondary equations. The set of equations must be already set up with initial time and partial states. At integration completion, the final time and partial states will be available in the same object.
Since this method stores some internal state variables made
available in its public interface during integration (AbstractIntegrator.getCurrentSignedStepsize()), it is not thread-safe.
integrate in class AdaptiveStepsizeIntegratorequations - complete set of differential equations to integratet - target time for the integration
(can be set to a value smaller than t0 for backward integration)NumberIsTooSmallException - if integration step is too smallDimensionMismatchException - if the dimension of the complete state does not
match the complete equations sets dimensionMaxCountExceededException - if the number of functions evaluations is exceededNoBracketingException - if the location of an event cannot be bracketedprotected Array2DRowRealMatrix initializeHighOrderDerivatives(double h, double[] t, double[][] y, double[][] yDot)
initializeHighOrderDerivatives in class MultistepIntegratorh - step size to use for scalingt - first steps timesy - first steps statesyDot - first steps derivativespublic Array2DRowRealMatrix updateHighOrderDerivativesPhase1(Array2DRowRealMatrix highOrder)
The complete update of high order derivatives has a form similar to:
rn+1 = (s1(n) - s1(n+1)) P-1 u + P-1 A P rnthis method computes the P-1 A P rn part.
highOrder - high order scaled derivatives
(h2/2 y'', ... hk/k! y(k))updateHighOrderDerivativesPhase2(double[], double[], Array2DRowRealMatrix)public void updateHighOrderDerivativesPhase2(double[] start,
double[] end,
Array2DRowRealMatrix highOrder)
The complete update of high order derivatives has a form similar to:
rn+1 = (s1(n) - s1(n+1)) P-1 u + P-1 A P rnthis method computes the (s1(n) - s1(n+1)) P-1 u part.
Phase 1 of the update must already have been performed.
start - first order scaled derivatives at step startend - first order scaled derivatives at step endhighOrder - high order scaled derivatives, will be modified
(h2/2 y'', ... hk/k! y(k))updateHighOrderDerivativesPhase1(Array2DRowRealMatrix)Copyright © 2003–2016 The Apache Software Foundation. All rights reserved.