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1   /*
2    * @(#) Euler.java Apr 20, 2004
3    * 
4    * Copyright (c) 2003 Delft University of Technology Jaffalaan 5, 2628 BX Delft,
5    * the Netherlands All rights reserved.
6    * 
7    * This software is proprietary information of Delft University of Technology
8    * The code is published under the General Public License
9    */
10  package nl.tudelft.simulation.jstats.ode.integrators;
11  
12  import nl.tudelft.simulation.jstats.ode.DifferentialEquationInterface;
13  
14  /***
15   * The Euler numerical estimator as described in <a
16   * href="http://mathworld.wolfram.com/EulerForwardMethod.html">
17   * http://mathworld.wolfram.com/EulerForwardMethod.html </a>
18   * <p>
19   * (c) copyright 2003 <a href="http://www.simulation.tudelft.nl">Delft
20   * University of Technology </a>, the Netherlands. <br>
21   * See for project information <a
22   * href="http://www.simulation.tudelft.nl">www.simulation.tudelft.nl </a> <br>
23   * License of use: <a href="http://www.gnu.org/copyleft/gpl.html">General Public
24   * License (GPL) </a>, no warranty <br>
25   * 
26   * @author <a href="http://www.tbm.tudelft.nl/webstaf/peterja/index.htm">Peter
27   *         Jacobs </a>
28   * @version 1.2 Apr 20, 2004
29   * @since 1.4
30   */
31  public class Euler extends NumericalIntegrator
32  {
33  	/***
34  	 * constructs a new Euler
35  	 * 
36  	 * @param timeStep the timeStep
37  	 * @param equation the differentialEquation
38  	 */
39  	public Euler(final double timeStep,
40  			final DifferentialEquationInterface equation)
41  	{
42  		super(timeStep, equation);
43  	}
44  
45  	/***
46  	 * @see nl.tudelft.simulation.jstats.ode.integrators.NumericalIntegrator#next(double,
47  	 *      double[])
48  	 */
49  	public double[] next(final double x, final double[] y)
50  	{
51  		return super.add(y, super.multiply(this.timeStep, this.equation
52  				.dy(x, y)));
53  	}
54  }