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Java example source code file (EulerIntegrator.java)

This example Java source code file (EulerIntegrator.java) is included in the alvinalexander.com "Java Source Code Warehouse" project. The intent of this project is to help you "Learn Java by Example" TM.

Learn more about this Java project at its project page.

Java - Java tags/keywords

eulerintegrator, eulerstepinterpolator, rungekuttaintegrator, static_a, static_b, static_c

The EulerIntegrator.java Java example source code

/*
 * Licensed to the Apache Software Foundation (ASF) under one or more
 * contributor license agreements.  See the NOTICE file distributed with
 * this work for additional information regarding copyright ownership.
 * The ASF licenses this file to You under the Apache License, Version 2.0
 * (the "License"); you may not use this file except in compliance with
 * the License.  You may obtain a copy of the License at
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */

package org.apache.commons.math3.ode.nonstiff;


/**
 * This class implements a simple Euler integrator for Ordinary
 * Differential Equations.
 *
 * <p>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 :
 * <code>f'=(f(t+h)-f(t))/h which leads to
 * <code>f(t+h)=f(t)+hf'. The interpolation scheme used for
 * dense output is the linear scheme already used for integration.</p>
 *
 * <p>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.</p>
 *
 * <p>This algorithm is almost never used and has been included in
 * this package only as a comparison reference for more useful
 * integrators.</p>
 *
 * @see MidpointIntegrator
 * @see ClassicalRungeKuttaIntegrator
 * @see GillIntegrator
 * @see ThreeEighthesIntegrator
 * @see LutherIntegrator
 * @since 1.2
 */

public class EulerIntegrator extends RungeKuttaIntegrator {

  /** Time steps Butcher array. */
  private static final double[] STATIC_C = {
  };

  /** Internal weights Butcher array. */
  private static final double[][] STATIC_A = {
  };

  /** Propagation weights Butcher array. */
  private static final double[] STATIC_B = {
    1.0
  };

  /** Simple constructor.
   * Build an Euler integrator with the given step.
   * @param step integration step
   */
  public EulerIntegrator(final double step) {
    super("Euler", STATIC_C, STATIC_A, STATIC_B, new EulerStepInterpolator(), step);
  }

}

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