Class EulerIntegrator

  extended by org.jscience.mathematics.analysis.ode.RungeKuttaIntegrator
      extended by org.jscience.mathematics.analysis.ode.EulerIntegrator
All Implemented Interfaces:
FirstOrderIntegrator, Named

public class EulerIntegrator
extends RungeKuttaIntegrator
implements Named

This class implements a simple Euler integrator for Ordinary Differential Equations.

The Euler algorithm is the simplest one that can be used to integrate ordinary differential equations. It is a simple inversion of the forward difference expression : f'=(f(t+h)-f(t))/h which leads to f(t+h)=f(t)+hf'. The interpolation scheme used for dense output is the linear scheme already used for integration.

This algorithm looks cheap because it needs only one function evaluation per step. However, as it uses linear estimates, it needs very small steps to achieve high accuracy, and small steps lead to numerical errors and instabilities.

This algorithm is almost never used and has been included in this package only as a comparison reference for more useful integrators.

See Also:
MidpointIntegrator, ClassicalRungeKuttaIntegrator, GillIntegrator, ThreeEighthesIntegrator

Field Summary
Fields inherited from class org.jscience.mathematics.analysis.ode.RungeKuttaIntegrator
Constructor Summary
EulerIntegrator(double step)
          Simple constructor.
Method Summary
 java.lang.String getName()
          Get the name of the method.
Methods inherited from class org.jscience.mathematics.analysis.ode.RungeKuttaIntegrator
addSwitchingFunction, getStepHandler, integrate, setStepHandler
Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail


public EulerIntegrator(double step)
Simple constructor. Build an Euler integrator with the given step.

step - integration step
Method Detail


public java.lang.String getName()
Get the name of the method.

Specified by:
getName in interface FirstOrderIntegrator
Specified by:
getName in interface Named
Specified by:
getName in class RungeKuttaIntegrator
name of the method