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Java example source code file (ClassicalRungeKuttaIntegrator.java)

This example Java source code file (ClassicalRungeKuttaIntegrator.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

classicalrungekuttaintegrator, classicalrungekuttastepinterpolator, runge-kutta, static_a, static_b, static_c

The ClassicalRungeKuttaIntegrator.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 the classical fourth order Runge-Kutta
 * integrator for Ordinary Differential Equations (it is the most
 * often used Runge-Kutta method).
 *
 * <p>This method is an explicit Runge-Kutta method, its Butcher-array
 * is the following one :
 * <pre>
 *    0  |  0    0    0    0
 *   1/2 | 1/2   0    0    0
 *   1/2 |  0   1/2   0    0
 *    1  |  0    0    1    0
 *       |--------------------
 *       | 1/6  1/3  1/3  1/6
 * </pre>
 * </p>
 *
 * @see EulerIntegrator
 * @see GillIntegrator
 * @see MidpointIntegrator
 * @see ThreeEighthesIntegrator
 * @see LutherIntegrator
 * @since 1.2
 */

public class ClassicalRungeKuttaIntegrator extends RungeKuttaIntegrator {

  /** Time steps Butcher array. */
  private static final double[] STATIC_C = {
    1.0 / 2.0, 1.0 / 2.0, 1.0
  };

  /** Internal weights Butcher array. */
  private static final double[][] STATIC_A = {
    { 1.0 / 2.0 },
    { 0.0, 1.0 / 2.0 },
    { 0.0, 0.0, 1.0 }
  };

  /** Propagation weights Butcher array. */
  private static final double[] STATIC_B = {
    1.0 / 6.0, 1.0 / 3.0, 1.0 / 3.0, 1.0 / 6.0
  };

  /** Simple constructor.
   * Build a fourth-order Runge-Kutta integrator with the given
   * step.
   * @param step integration step
   */
  public ClassicalRungeKuttaIntegrator(final double step) {
    super("classical Runge-Kutta", STATIC_C, STATIC_A, STATIC_B,
          new ClassicalRungeKuttaStepInterpolator(), step);
  }

}

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