package org.spaceroots.mantissa.ode;

/**
 * This class implements a second order Runge-Kutta integrator for
 * Ordinary Differential Equations.

 * 
This method is an explicit Runge-Kutta method, its Butcher-array
 * is the following one :
 * 
 *    0  |  0    0
 *   1/2 | 1/2   0
 *       |----------
 *       |  0    1
 * 
 * 


 * @see EulerIntegrator
 * @see ClassicalRungeKuttaIntegrator
 * @see GillIntegrator

 * @version $Id: MidpointIntegrator.java 1709 2006-12-03 21:16:50Z luc $
 * @author L. Maisonobe

 */

public class MidpointIntegrator
  extends RungeKuttaIntegrator {

  private static final String methodName = "midpoint";

  private static final double[] c = {
    1.0 / 2.0
  };

  private static final double[][] a = {
    { 1.0 / 2.0 }
  };

  private static final double[] b = {
    0.0, 1.0
  };

  /** Simple constructor.
   * Build a midpoint integrator with the given step.
   * @param step integration step
   */
  public MidpointIntegrator(double step) {
    super(false, c, a, b, new MidpointStepInterpolator(), step);
  }

  /** Get the name of the method.
   * @return name of the method
   */
  public String getName() {
    return methodName;
  }

}