org.spaceroots.mantissa.ode

Class EulerIntegrator

java.lang.Object

org.spaceroots.mantissa.ode.RungeKuttaIntegrator

org.spaceroots.mantissa.ode.EulerIntegrator

All Implemented Interfaces:

FirstOrderIntegrator

public class EulerIntegrator
extends RungeKuttaIntegrator

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

Constructor Summary

Constructors

Constructor and Description
EulerIntegrator(double step) Simple constructor.

Method Summary

Modifier and Type	Method and Description
java.lang.String	getName() Get the name of the method.

Methods inherited from class org.spaceroots.mantissa.ode.RungeKuttaIntegrator

addSwitchingFunction, getCurrentStepsize, getCurrentStepStart, getStepHandler, integrate, setStepHandler

Methods inherited from class java.lang.Object

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

Constructor Detail

EulerIntegrator

public EulerIntegrator(double step)

Simple constructor. Build an Euler integrator with the given step.

Parameters:

step - integration step

Method Detail

getName

public java.lang.String getName()

Get the name of the method.

Specified by:

getName in interface FirstOrderIntegrator

Specified by:

getName in class RungeKuttaIntegrator

Returns:

name of the method