Class GillFieldIntegrator<T extends CalculusFieldElement<T>>

Type Parameters:
T - the type of the field elements
All Implemented Interfaces:
FieldODEIntegrator<T>, FieldButcherArrayProvider<T>, FieldExplicitRungeKuttaIntegrator<T>

public class GillFieldIntegrator<T extends CalculusFieldElement<T>> extends RungeKuttaFieldIntegrator<T>
This class implements the Gill fourth order Runge-Kutta integrator for Ordinary Differential Equations .

This method is an explicit Runge-Kutta method, its Butcher-array is the following one :

0  |    0        0       0      0
1/2 |   1/2       0       0      0
1/2 | (q-1)/2  (2-q)/2    0      0
1  |    0       -q/2  (2+q)/2   0
|-------------------------------
|   1/6    (2-q)/6 (2+q)/6  1/6

where q = sqrt(2)

• Field Details

• METHOD_NAME

public static final String METHOD_NAME
Name of integration scheme.
• Constructor Details

• GillFieldIntegrator

public GillFieldIntegrator(Field<T> field, T step)
Simple constructor. Build a fourth-order Gill integrator with the given step.
Parameters:
field - field to which the time and state vector elements belong
step - integration step
• Method Details

• getC

public T[] getC()
Get the time steps from Butcher array (without the first zero).
Returns:
time steps from Butcher array (without the first zero
• getA

public T[][] getA()
Get the internal weights from Butcher array (without the first empty row).
Returns:
internal weights from Butcher array (without the first empty row)
• getB

public T[] getB()
Get the external weights for the high order method from Butcher array.
Returns:
external weights for the high order method from Butcher array
• createInterpolator

protected org.hipparchus.ode.nonstiff.GillFieldStateInterpolator<T> createInterpolator(boolean forward, T[][] yDotK, FieldODEStateAndDerivative<T> globalPreviousState, FieldODEStateAndDerivative<T> globalCurrentState, FieldEquationsMapper<T> mapper)
Create an interpolator.
Specified by:
createInterpolator in class RungeKuttaFieldIntegrator<T extends CalculusFieldElement<T>>
Parameters:
forward - integration direction indicator
yDotK - slopes at the intermediate points
globalPreviousState - start of the global step
globalCurrentState - end of the global step
mapper - equations mapper for the all equations
Returns:
external weights for the high order method from Butcher array