math.numerics
Class Euler

java.lang.Object
  math.numerics.Euler

All Implemented Interfaces:

ODESolver

public class Euler
extends java.lang.Object
implements ODESolver

Euler implements an Euler method ODE solver. The Euler method is unstable for many systems. It is included as an example of how to use the ODE and ODESolver interface.

Version:

1.0

Author:

Wolfgang Christian

Constructor Summary

Euler(ODE _ode)
Constructs the Euler ODESolver for a system of ordinary differential equations.

Method Summary

double	getStepSize() Gets the step size The stepsize is constant in this algorithm
void	initialize(double _stepSize) Initializes the ODE solver The rate array is allocated.
void	setStepSize(double _stepSize) Sets the step size The step size remains fixed in this algorithm
double	step() Steps (advance) the differential equations by the stepSize The ODESolver invokes the ODE's getRate method to obtain the initial state of the system.

Methods inherited from class java.lang.Object

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

Constructor Detail

Euler

public Euler(ODE _ode)

Constructs the Euler ODESolver for a system of ordinary differential equations.

Parameters:

_ode - the system of differential equations.

Method Detail

step

public double step()

Steps (advance) the differential equations by the stepSize The ODESolver invokes the ODE's getRate method to obtain the initial state of the system. The ODESolver then advances the solution and copies the new state into the state array affineTransform the end of the solution step.

Specified by:

step in interface ODESolver

Returns:

the step size

setStepSize

public void setStepSize(double _stepSize)

Sets the step size The step size remains fixed in this algorithm

Specified by:

setStepSize in interface ODESolver

Parameters:

_stepSize -

initialize

public void initialize(double _stepSize)

Initializes the ODE solver The rate array is allocated. The number of differential equations is determined by invoking getState2().length on the ODE.

Specified by:

initialize in interface ODESolver

Parameters:

_stepSize -

getStepSize

public double getStepSize()

Gets the step size The stepsize is constant in this algorithm

Specified by:

getStepSize in interface ODESolver

Returns:

the step size