| /* |
| * 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.math.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 |
| * @version $Revision: 810196 $ $Date: 2009-09-01 21:47:46 +0200 (mar. 01 sept. 2009) $ |
| * @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); |
| } |
| |
| } |