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authorRaymond <siuchow@google.com>2015-04-02 10:43:13 -0700
committerRaymond <siuchow@google.com>2015-04-02 10:43:13 -0700
commitdee0849a9704d532af0b550146cbafbaa6ee1d19 (patch)
tree8ccce3a046c214fb609977b7fc53c40cef7f9ea5 /src/main/java/org/apache/commons/math/ode/nonstiff/ClassicalRungeKuttaIntegrator.java
parent55b0a5efc929efa9615babd3e760547f94e3518e (diff)
downloadapache-commons-math-marshmallow-dr1.6-release.tar.gz
third party library: apache-commons-mathandroid-cts-6.0_r9android-cts-6.0_r8android-cts-6.0_r7android-cts-6.0_r6android-cts-6.0_r5android-cts-6.0_r4android-cts-6.0_r32android-cts-6.0_r31android-cts-6.0_r30android-cts-6.0_r3android-cts-6.0_r29android-cts-6.0_r28android-cts-6.0_r27android-cts-6.0_r26android-cts-6.0_r25android-cts-6.0_r24android-cts-6.0_r23android-cts-6.0_r22android-cts-6.0_r21android-cts-6.0_r20android-cts-6.0_r2android-cts-6.0_r19android-cts-6.0_r18android-cts-6.0_r17android-cts-6.0_r16android-cts-6.0_r15android-cts-6.0_r14android-cts-6.0_r13android-cts-6.0_r12android-cts-6.0_r1android-6.0.1_r9android-6.0.1_r81android-6.0.1_r80android-6.0.1_r8android-6.0.1_r79android-6.0.1_r78android-6.0.1_r77android-6.0.1_r74android-6.0.1_r73android-6.0.1_r72android-6.0.1_r70android-6.0.1_r7android-6.0.1_r69android-6.0.1_r68android-6.0.1_r67android-6.0.1_r66android-6.0.1_r65android-6.0.1_r63android-6.0.1_r62android-6.0.1_r61android-6.0.1_r60android-6.0.1_r59android-6.0.1_r58android-6.0.1_r57android-6.0.1_r56android-6.0.1_r55android-6.0.1_r54android-6.0.1_r53android-6.0.1_r52android-6.0.1_r51android-6.0.1_r50android-6.0.1_r5android-6.0.1_r49android-6.0.1_r48android-6.0.1_r47android-6.0.1_r46android-6.0.1_r45android-6.0.1_r43android-6.0.1_r42android-6.0.1_r41android-6.0.1_r40android-6.0.1_r4android-6.0.1_r33android-6.0.1_r32android-6.0.1_r31android-6.0.1_r30android-6.0.1_r3android-6.0.1_r28android-6.0.1_r27android-6.0.1_r26android-6.0.1_r25android-6.0.1_r24android-6.0.1_r22android-6.0.1_r21android-6.0.1_r20android-6.0.1_r18android-6.0.1_r17android-6.0.1_r16android-6.0.1_r13android-6.0.1_r12android-6.0.1_r11android-6.0.1_r10android-6.0.1_r1android-6.0.0_r7android-6.0.0_r6android-6.0.0_r5android-6.0.0_r41android-6.0.0_r4android-6.0.0_r3android-6.0.0_r26android-6.0.0_r25android-6.0.0_r24android-6.0.0_r23android-6.0.0_r2android-6.0.0_r13android-6.0.0_r12android-6.0.0_r11android-6.0.0_r1marshmallow-releasemarshmallow-mr3-releasemarshmallow-mr2-releasemarshmallow-mr1-releasemarshmallow-mr1-devmarshmallow-dr1.6-releasemarshmallow-dr1.5-releasemarshmallow-dr1.5-devmarshmallow-dr-releasemarshmallow-dr-dragon-releasemarshmallow-dr-devmarshmallow-devmarshmallow-cts-release
Change-Id: I52a325624a7f0dd652b362a9840626d6d9f3c42b
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diff --git a/src/main/java/org/apache/commons/math/ode/nonstiff/ClassicalRungeKuttaIntegrator.java b/src/main/java/org/apache/commons/math/ode/nonstiff/ClassicalRungeKuttaIntegrator.java
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+/*
+ * 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);
+ }
+
+}