Package org.opensourcephysics.numerics

Class EulerRichardson

java.lang.Object
org.opensourcephysics.numerics.AbstractODESolver
org.opensourcephysics.numerics.EulerRichardson
All Implemented Interfaces:
ODESolver
public class EulerRichardson extends AbstractODESolver
An Euler-Richardson (midpoint) method ODE solver. The Euler-Richardson method uses the state at the beginning of the interval to estimate the state at the midpoint. x(midpoint) = x(n) + v(n)*dt/2 v(midpoint) = v(n) + a(n)*dt/2 t(midpoint) = t(n) + dt/2 The midpoint state is then used to calculate the final state.
Version:
1.0
Author:
Wolfgang Christian

  • Constructor Details

    • EulerRichardson

      public EulerRichardson(ODE ode)
      Constructs the EulerRichardson ODESolver for a system of ordinary differential equations.
      Parameters:
      ode - the system of differential equations.

  • Method Details

    • initialize

      public void initialize(double stepSize)
      Initializes the ODE solver. The rate and midstate arrays are allocated. The number of differential equations is determined by invoking getState().length on the ODE.
      Specified by:
      initialize in interface ODESolver
      Overrides:
      initialize in class AbstractODESolver
      Parameters:
      stepSize -

    • step

      public double step()
      Steps (advances) the differential equations by the stepSize. The ODESolver invokes the ODE's getState method to obtain the initial state of the system. The ODESolver advances the solution and copies the new state into the state array at the end of the solution step.
      Specified by:
      step in interface ODESolver
      Specified by:
      step in class AbstractODESolver
      Returns:
      the step size