Top Description Constructors Methods
org.apache.commons.math3.ode.nonstiff

public Class GillFieldIntegrator<T extends RealFieldElement<T>>

extends RungeKuttaFieldIntegrator<T extends RealFieldElement<T>>
Class Inheritance
Type Parameters
<T>
the type of the field elements
Imports
org.apache.commons.math3.Field, .RealFieldElement, org.apache.commons.math3.ode.FieldEquationsMapper, .FieldODEStateAndDerivative, org.apache.commons.math3.util.MathArrays
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)

Since
3.6
See Also
EulerFieldIntegrator, ClassicalRungeKuttaFieldIntegrator, MidpointFieldIntegrator, ThreeEighthesFieldIntegrator, LutherFieldIntegrator

Constructor Summary

AccessConstructor and Description
public
GillFieldIntegrator(final Field<T>
field to which the time and state vector elements belong
field, final T
integration step
step)

Simple constructor.

Method Summary

Modifier and TypeMethod and Description
protected GillFieldStepInterpolator<T>
createInterpolator(final boolean
integration direction indicator
forward, T[][]
slopes at the intermediate points
yDotK, final FieldODEStateAndDerivative<T>
start of the global step
globalPreviousState, final FieldODEStateAndDerivative<T>
end of the global step
globalCurrentState, final FieldEquationsMapper<T>
equations mapper for the all equations
mapper)

Implements abstract org.apache.commons.math3.ode.nonstiff.RungeKuttaFieldIntegrator.createInterpolator.

Create an interpolator.

public T[][]
getA()

Implements org.apache.commons.math3.ode.nonstiff.FieldButcherArrayProvider.getA.

Get the internal weights from Butcher array (without the first empty row).

public T[]
getB()

Implements org.apache.commons.math3.ode.nonstiff.FieldButcherArrayProvider.getB.

Get the external weights for the high order method from Butcher array.

public T[]
getC()

Implements org.apache.commons.math3.ode.nonstiff.FieldButcherArrayProvider.getC.

Get the time steps from Butcher array (without the first zero).

Inherited from org.apache.commons.math3.ode.nonstiff.RungeKuttaFieldIntegrator:
fractionintegratesingleStep

Constructor Detail

GillFieldIntegratorback to summary
public GillFieldIntegrator(final Field<T> field, final T step)

Simple constructor. Build a fourth-order Gill integrator with the given step.

Parameters
field:Field<T>

field to which the time and state vector elements belong

step:T

integration step

Method Detail

createInterpolatorback to summary
protected GillFieldStepInterpolator<T> createInterpolator(final boolean forward, T[][] yDotK, final FieldODEStateAndDerivative<T> globalPreviousState, final FieldODEStateAndDerivative<T> globalCurrentState, final FieldEquationsMapper<T> mapper)

Implements abstract org.apache.commons.math3.ode.nonstiff.RungeKuttaFieldIntegrator.createInterpolator.

Doc from org.apache.commons.math3.ode.nonstiff.RungeKuttaFieldIntegrator.createInterpolator.

Create an interpolator.

Parameters
forward:boolean

integration direction indicator

yDotK:T[][]

slopes at the intermediate points

globalPreviousState:FieldODEStateAndDerivative<T>

start of the global step

globalCurrentState:FieldODEStateAndDerivative<T>

end of the global step

mapper:FieldEquationsMapper<T>

equations mapper for the all equations

Returns:GillFieldStepInterpolator<T>

external weights for the high order method from Butcher array

Annotations
@Override
getAback to summary
public T[][] getA()

Implements org.apache.commons.math3.ode.nonstiff.FieldButcherArrayProvider.getA.

Doc from org.apache.commons.math3.ode.nonstiff.FieldButcherArrayProvider.getA.

Get the internal weights from Butcher array (without the first empty row).

Returns:T[][]

internal weights from Butcher array (without the first empty row)

getBback to summary
public T[] getB()

Implements org.apache.commons.math3.ode.nonstiff.FieldButcherArrayProvider.getB.

Doc from org.apache.commons.math3.ode.nonstiff.FieldButcherArrayProvider.getB.

Get the external weights for the high order method from Butcher array.

Returns:T[]

external weights for the high order method from Butcher array

getCback to summary
public T[] getC()

Implements org.apache.commons.math3.ode.nonstiff.FieldButcherArrayProvider.getC.

Doc from org.apache.commons.math3.ode.nonstiff.FieldButcherArrayProvider.getC.

Get the time steps from Butcher array (without the first zero).

Returns:T[]

time steps from Butcher array (without the first zero