Package org.hipparchus.ode.nonstiff.interpolators

Class AdamsStateInterpolator

java.lang.Object

org.hipparchus.ode.sampling.AbstractODEStateInterpolator

org.hipparchus.ode.nonstiff.interpolators.AdamsStateInterpolator

All Implemented Interfaces:

Serializable, ODEStateInterpolator

public class AdamsStateInterpolator
extends AbstractODEStateInterpolator

This class implements an interpolator for integrators using Nordsieck representation.

This interpolator computes dense output around the current point. The interpolation equation is based on Taylor series formulas.

See Also:

• AdamsBashforthIntegrator
• AdamsMoultonIntegrator
• Serialized Form

Constructor Summary

Constructors

Constructor	Description
AdamsStateInterpolator(double stepSize, ODEStateAndDerivative reference, double[] scaled, Array2DRowRealMatrix nordsieck, boolean isForward, ODEStateAndDerivative globalPreviousState, ODEStateAndDerivative globalCurrentState, EquationsMapper equationsMapper)	Simple constructor.

Method Summary

Modifier and Type	Method	Description
protected ODEStateAndDerivative	computeInterpolatedStateAndDerivatives(EquationsMapper equationsMapper, double time, double theta, double thetaH, double oneMinusThetaH)	Compute the state and derivatives at the interpolated time.
protected AdamsStateInterpolator	create(boolean newForward, ODEStateAndDerivative newGlobalPreviousState, ODEStateAndDerivative newGlobalCurrentState, ODEStateAndDerivative newSoftPreviousState, ODEStateAndDerivative newSoftCurrentState, EquationsMapper newMapper)	Create a new instance.
Array2DRowRealMatrix	getNordsieck()	Get the Nordsieck vector.
double[]	getScaled()	Get the first scaled derivative.
static ODEStateAndDerivative	taylor(EquationsMapper equationsMapper, ODEStateAndDerivative reference, double time, double stepSize, double[] scaled, Array2DRowRealMatrix nordsieck)	Estimate state by applying Taylor formula.

Methods inherited from class org.hipparchus.ode.sampling.AbstractODEStateInterpolator

getCurrentState, getGlobalCurrentState, getGlobalPreviousState, getInterpolatedState, getMapper, getPreviousState, isCurrentStateInterpolated, isForward, isPreviousStateInterpolated, restrictStep

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

AdamsStateInterpolator

public AdamsStateInterpolator(double stepSize,
 ODEStateAndDerivative reference,
 double[] scaled,
 Array2DRowRealMatrix nordsieck,
 boolean isForward,
 ODEStateAndDerivative globalPreviousState,
 ODEStateAndDerivative globalCurrentState,
 EquationsMapper equationsMapper)

Simple constructor.

Parameters:

stepSize - step size used in the scaled and Nordsieck arrays

reference - reference state from which Taylor expansion are estimated

scaled - first scaled derivative

nordsieck - Nordsieck vector

isForward - integration direction indicator

globalPreviousState - start of the global step

globalCurrentState - end of the global step

equationsMapper - mapper for ODE equations primary and secondary components

Method Details

create

protected AdamsStateInterpolator create(boolean newForward,
 ODEStateAndDerivative newGlobalPreviousState,
 ODEStateAndDerivative newGlobalCurrentState,
 ODEStateAndDerivative newSoftPreviousState,
 ODEStateAndDerivative newSoftCurrentState,
 EquationsMapper newMapper)

Create a new instance.

Specified by:

create in class AbstractODEStateInterpolator

Parameters:

newForward - integration direction indicator

newGlobalPreviousState - start of the global step

newGlobalCurrentState - end of the global step

newSoftPreviousState - start of the restricted step

newSoftCurrentState - end of the restricted step

newMapper - equations mapper for the all equations

Returns:

a new instance

getScaled

public double[] getScaled()

Get the first scaled derivative.

Returns:

first scaled derivative

getNordsieck

public Array2DRowRealMatrix getNordsieck()

Get the Nordsieck vector.

Returns:

Nordsieck vector

computeInterpolatedStateAndDerivatives

protected ODEStateAndDerivative computeInterpolatedStateAndDerivatives(EquationsMapper equationsMapper,
 double time,
 double theta,
 double thetaH,
 double oneMinusThetaH)

Compute the state and derivatives at the interpolated time. This is the main processing method that should be implemented by the derived classes to perform the interpolation.

Specified by:

computeInterpolatedStateAndDerivatives in class AbstractODEStateInterpolator

Parameters:

equationsMapper - mapper for ODE equations primary and secondary components

time - interpolation time

theta - normalized interpolation abscissa within the step (theta is zero at the previous time step and one at the current time step)

thetaH - time gap between the previous time and the interpolated time

oneMinusThetaH - time gap between the interpolated time and the current time

Returns:

interpolated state and derivatives

taylor

public static ODEStateAndDerivative taylor(EquationsMapper equationsMapper,
 ODEStateAndDerivative reference,
 double time,
 double stepSize,
 double[] scaled,
 Array2DRowRealMatrix nordsieck)

Estimate state by applying Taylor formula.

Parameters:

equationsMapper - mapper for ODE equations primary and secondary components

reference - reference state

time - time at which state must be estimated

stepSize - step size used in the scaled and Nordsieck arrays

scaled - first scaled derivative

nordsieck - Nordsieck vector

Returns:

estimated state