T
- the type of the field elementspublic abstract class AdamsFieldIntegrator<T extends RealFieldElement<T>> extends MultistepFieldIntegrator<T>
Adams-Bashforth
and
Adams-Moulton
integrators.nordsieck, scaled
mainSetDimension, scalAbsoluteTolerance, scalRelativeTolerance, vecAbsoluteTolerance, vecRelativeTolerance
Constructor and Description |
---|
AdamsFieldIntegrator(Field<T> field,
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.
|
AdamsFieldIntegrator(Field<T> field,
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.
|
Modifier and Type | Method and Description |
---|---|
protected Array2DRowFieldMatrix<T> |
initializeHighOrderDerivatives(T h,
T[] t,
T[][] y,
T[][] yDot)
Initialize the high order scaled derivatives at step start.
|
abstract FieldODEStateAndDerivative<T> |
integrate(FieldExpandableODE<T> equations,
FieldODEState<T> initialState,
T finalTime)
Integrate the differential equations up to the given time.
|
Array2DRowFieldMatrix<T> |
updateHighOrderDerivativesPhase1(Array2DRowFieldMatrix<T> highOrder)
Update the high order scaled derivatives for Adams integrators (phase 1).
|
void |
updateHighOrderDerivativesPhase2(T[] start,
T[] end,
Array2DRowFieldMatrix<T> highOrder)
Update the high order scaled derivatives Adams integrators (phase 2).
|
computeStepGrowShrinkFactor, getMaxGrowth, getMinReduction, getNSteps, getSafety, getStarterIntegrator, rescale, setMaxGrowth, setMinReduction, setSafety, setStarterIntegrator, start
filterStep, getMaxStep, getMinStep, initializeStep, resetInternalState, sanityChecks, setInitialStepSize, setStepSizeControl, setStepSizeControl
acceptStep, 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, setStepStart
public AdamsFieldIntegrator(Field<T> field, String name, int nSteps, int order, double minStep, double maxStep, double scalAbsoluteTolerance, double scalRelativeTolerance) throws NumberIsTooSmallException
field
- field to which the time and state vector elements belongname
- 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 AdamsFieldIntegrator(Field<T> field, String name, int nSteps, int order, double minStep, double maxStep, double[] vecAbsoluteTolerance, double[] vecRelativeTolerance) throws IllegalArgumentException
field
- field to which the time and state vector elements belongname
- 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 FieldODEStateAndDerivative<T> integrate(FieldExpandableODE<T> equations, FieldODEState<T> initialState, T finalTime) throws NumberIsTooSmallException, DimensionMismatchException, MaxCountExceededException, NoBracketingException
This method solves an Initial Value Problem (IVP).
Since this method stores some internal state variables made
available in its public interface during integration (FirstOrderFieldIntegrator.getCurrentSignedStepsize()
), it is not thread-safe.
equations
- differential equations to integrateinitialState
- initial state (time, primary and secondary state vectors)finalTime
- target time for the integration
(can be set to a value smaller than t0
for backward integration)finalTime
if
integration reached its target, but may be different if some FieldEventHandler
stops it at some point.NumberIsTooSmallException
- if integration step is too smallMaxCountExceededException
- if the number of functions evaluations is exceededNoBracketingException
- if the location of an event cannot be bracketedDimensionMismatchException
protected Array2DRowFieldMatrix<T> initializeHighOrderDerivatives(T h, T[] t, T[][] y, T[][] yDot)
initializeHighOrderDerivatives
in class MultistepFieldIntegrator<T extends RealFieldElement<T>>
h
- step size to use for scalingt
- first steps timesy
- first steps statesyDot
- first steps derivativespublic Array2DRowFieldMatrix<T> updateHighOrderDerivativesPhase1(Array2DRowFieldMatrix<T> 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(RealFieldElement[], RealFieldElement[], Array2DRowFieldMatrix)
public void updateHighOrderDerivativesPhase2(T[] start, T[] end, Array2DRowFieldMatrix<T> 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(Array2DRowFieldMatrix)
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