diff options
Diffstat (limited to 'src/main/java/org/apache/commons/math3/ode/nonstiff/LutherIntegrator.java')
| -rw-r--r-- | src/main/java/org/apache/commons/math3/ode/nonstiff/LutherIntegrator.java | 89 |
1 files changed, 89 insertions, 0 deletions
diff --git a/src/main/java/org/apache/commons/math3/ode/nonstiff/LutherIntegrator.java b/src/main/java/org/apache/commons/math3/ode/nonstiff/LutherIntegrator.java new file mode 100644 index 0000000..d3d0d6a --- /dev/null +++ b/src/main/java/org/apache/commons/math3/ode/nonstiff/LutherIntegrator.java @@ -0,0 +1,89 @@ +/* + * 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.util.FastMath; + + +/** + * 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 EulerIntegrator + * @see ClassicalRungeKuttaIntegrator + * @see GillIntegrator + * @see MidpointIntegrator + * @see ThreeEighthesIntegrator + * @since 3.3 + */ + +public class LutherIntegrator extends RungeKuttaIntegrator { + + /** Square root. */ + private static final double Q = FastMath.sqrt(21); + + /** Time steps Butcher array. */ + private static final double[] STATIC_C = { + 1.0, 1.0 / 2.0, 2.0 / 3.0, (7.0 - Q) / 14.0, (7.0 + Q) / 14.0, 1.0 + }; + + /** Internal weights Butcher array. */ + private static final double[][] STATIC_A = { + { 1.0 }, + { 3.0 / 8.0, 1.0 / 8.0 }, + { 8.0 / 27.0, 2.0 / 27.0, 8.0 / 27.0 }, + { ( -21.0 + 9.0 * Q) / 392.0, ( -56.0 + 8.0 * Q) / 392.0, ( 336.0 - 48.0 * Q) / 392.0, (-63.0 + 3.0 * Q) / 392.0 }, + { (-1155.0 - 255.0 * Q) / 1960.0, (-280.0 - 40.0 * Q) / 1960.0, ( 0.0 - 320.0 * Q) / 1960.0, ( 63.0 + 363.0 * Q) / 1960.0, (2352.0 + 392.0 * Q) / 1960.0 }, + { ( 330.0 + 105.0 * Q) / 180.0, ( 120.0 + 0.0 * Q) / 180.0, (-200.0 + 280.0 * Q) / 180.0, (126.0 - 189.0 * Q) / 180.0, (-686.0 - 126.0 * Q) / 180.0, (490.0 - 70.0 * Q) / 180.0 } + }; + + /** Propagation weights Butcher array. */ + private static final double[] STATIC_B = { + 1.0 / 20.0, 0, 16.0 / 45.0, 0, 49.0 / 180.0, 49.0 / 180.0, 1.0 / 20.0 + }; + + /** Simple constructor. + * Build a fourth-order Luther integrator with the given step. + * @param step integration step + */ + public LutherIntegrator(final double step) { + super("Luther", STATIC_C, STATIC_A, STATIC_B, new LutherStepInterpolator(), step); + } + +} |