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Java example source code file (LutherFieldIntegrator.java)
The LutherFieldIntegrator.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; import org.apache.commons.math3.Field; import org.apache.commons.math3.RealFieldElement; import org.apache.commons.math3.ode.FieldEquationsMapper; import org.apache.commons.math3.ode.FieldODEStateAndDerivative; import org.apache.commons.math3.util.MathArrays; /** * This class implements the Luther sixth order Runge-Kutta * integrator for Ordinary Differential Equations. * <p> * This method is described in H. A. Luther 1968 paper <a * href="http://www.ams.org/journals/mcom/1968-22-102/S0025-5718-68-99876-1/S0025-5718-68-99876-1.pdf"> * An explicit Sixth-Order Runge-Kutta Formula</a>. * </p> * <p>This method is an explicit Runge-Kutta method, its Butcher-array * is the following one : * <pre> * 0 | 0 0 0 0 0 0 * 1 | 1 0 0 0 0 0 * 1/2 | 3/8 1/8 0 0 0 0 * 2/3 | 8/27 2/27 8/27 0 0 0 * (7-q)/14 | ( -21 + 9q)/392 ( -56 + 8q)/392 ( 336 - 48q)/392 ( -63 + 3q)/392 0 0 * (7+q)/14 | (-1155 - 255q)/1960 ( -280 - 40q)/1960 ( 0 - 320q)/1960 ( 63 + 363q)/1960 ( 2352 + 392q)/1960 0 * 1 | ( 330 + 105q)/180 ( 120 + 0q)/180 ( -200 + 280q)/180 ( 126 - 189q)/180 ( -686 - 126q)/180 ( 490 - 70q)/180 * |-------------------------------------------------------------------------------------------------------------------------------------------------- * | 1/20 0 16/45 0 49/180 49/180 1/20 * </pre> * where q = √21</p> * * @see EulerFieldIntegrator * @see ClassicalRungeKuttaFieldIntegrator * @see GillFieldIntegrator * @see MidpointFieldIntegrator * @see ThreeEighthesFieldIntegrator * @param <T> the type of the field elements * @since 3.6 */ public class LutherFieldIntegrator<T extends RealFieldElement Other Java examples (source code examples)Here is a short list of links related to this Java LutherFieldIntegrator.java source code file: |
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