1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
|
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
<!-- NewPage -->
<html lang="en">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<title>SecondOrderDifferentialEquations (Apache Commons Math 3.6.1 API)</title>
<link rel="stylesheet" type="text/css" href="../../../../../stylesheet.css" title="Style">
</head>
<body>
<script type="text/javascript"><!--
if (location.href.indexOf('is-external=true') == -1) {
parent.document.title="SecondOrderDifferentialEquations (Apache Commons Math 3.6.1 API)";
}
//-->
</script>
<noscript>
<div>JavaScript is disabled on your browser.</div>
</noscript>
<!-- ========= START OF TOP NAVBAR ======= -->
<div class="topNav"><a name="navbar_top">
<!-- -->
</a><a href="#skip-navbar_top" title="Skip navigation links"></a><a name="navbar_top_firstrow">
<!-- -->
</a>
<ul class="navList" title="Navigation">
<li><a href="../../../../../overview-summary.html">Overview</a></li>
<li><a href="package-summary.html">Package</a></li>
<li class="navBarCell1Rev">Class</li>
<li><a href="class-use/SecondOrderDifferentialEquations.html">Use</a></li>
<li><a href="package-tree.html">Tree</a></li>
<li><a href="../../../../../deprecated-list.html">Deprecated</a></li>
<li><a href="../../../../../index-all.html">Index</a></li>
<li><a href="../../../../../help-doc.html">Help</a></li>
</ul>
<div class="aboutLanguage"><em><script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script></em></div>
</div>
<div class="subNav">
<ul class="navList">
<li><a href="../../../../../org/apache/commons/math3/ode/SecondaryEquations.html" title="interface in org.apache.commons.math3.ode"><span class="strong">Prev Class</span></a></li>
<li><a href="../../../../../org/apache/commons/math3/ode/SecondOrderIntegrator.html" title="interface in org.apache.commons.math3.ode"><span class="strong">Next Class</span></a></li>
</ul>
<ul class="navList">
<li><a href="../../../../../index.html?org/apache/commons/math3/ode/SecondOrderDifferentialEquations.html" target="_top">Frames</a></li>
<li><a href="SecondOrderDifferentialEquations.html" target="_top">No Frames</a></li>
</ul>
<ul class="navList" id="allclasses_navbar_top">
<li><a href="../../../../../allclasses-noframe.html">All Classes</a></li>
</ul>
<div>
<script type="text/javascript"><!--
allClassesLink = document.getElementById("allclasses_navbar_top");
if(window==top) {
allClassesLink.style.display = "block";
}
else {
allClassesLink.style.display = "none";
}
//-->
</script>
</div>
<div>
<ul class="subNavList">
<li>Summary: </li>
<li>Nested | </li>
<li>Field | </li>
<li>Constr | </li>
<li><a href="#method_summary">Method</a></li>
</ul>
<ul class="subNavList">
<li>Detail: </li>
<li>Field | </li>
<li>Constr | </li>
<li><a href="#method_detail">Method</a></li>
</ul>
</div>
<a name="skip-navbar_top">
<!-- -->
</a></div>
<!-- ========= END OF TOP NAVBAR ========= -->
<!-- ======== START OF CLASS DATA ======== -->
<div class="header">
<div class="subTitle">org.apache.commons.math3.ode</div>
<h2 title="Interface SecondOrderDifferentialEquations" class="title">Interface SecondOrderDifferentialEquations</h2>
</div>
<div class="contentContainer">
<div class="description">
<ul class="blockList">
<li class="blockList">
<hr>
<br>
<pre>public interface <span class="strong">SecondOrderDifferentialEquations</span></pre>
<div class="block">This interface represents a second order differential equations set.
<p>This interface should be implemented by all real second order
differential equation problems before they can be handled by the
integrators <a href="../../../../../org/apache/commons/math3/ode/SecondOrderIntegrator.html#integrate(org.apache.commons.math3.ode.SecondOrderDifferentialEquations,%20double,%20double[],%20double[],%20double,%20double[],%20double[])"><code>SecondOrderIntegrator.integrate(org.apache.commons.math3.ode.SecondOrderDifferentialEquations, double, double[], double[], double, double[], double[])</code></a> method.</p>
<p>A second order differential equations problem, as seen by an
integrator is the second time derivative <code>d2Y/dt^2</code> of a
state vector <code>Y</code>, both being one dimensional
arrays. From the integrator point of view, this derivative depends
only on the current time <code>t</code>, on the state vector
<code>Y</code> and on the first time derivative of the state
vector.</p>
<p>For real problems, the derivative depends also on parameters
that do not belong to the state vector (dynamical model constants
for example). These constants are completely outside of the scope
of this interface, the classes that implement it are allowed to
handle them as they want.</p></div>
<dl><dt><span class="strong">Since:</span></dt>
<dd>1.2</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../org/apache/commons/math3/ode/SecondOrderIntegrator.html" title="interface in org.apache.commons.math3.ode"><code>SecondOrderIntegrator</code></a>,
<a href="../../../../../org/apache/commons/math3/ode/FirstOrderConverter.html" title="class in org.apache.commons.math3.ode"><code>FirstOrderConverter</code></a>,
<a href="../../../../../org/apache/commons/math3/ode/FirstOrderDifferentialEquations.html" title="interface in org.apache.commons.math3.ode"><code>FirstOrderDifferentialEquations</code></a></dd></dl>
</li>
</ul>
</div>
<div class="summary">
<ul class="blockList">
<li class="blockList">
<!-- ========== METHOD SUMMARY =========== -->
<ul class="blockList">
<li class="blockList"><a name="method_summary">
<!-- -->
</a>
<h3>Method Summary</h3>
<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation">
<caption><span>Methods</span><span class="tabEnd"> </span></caption>
<tr>
<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Method and Description</th>
</tr>
<tr class="altColor">
<td class="colFirst"><code>void</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/ode/SecondOrderDifferentialEquations.html#computeSecondDerivatives(double,%20double[],%20double[],%20double[])">computeSecondDerivatives</a></strong>(double t,
double[] y,
double[] yDot,
double[] yDDot)</code>
<div class="block">Get the current time derivative of the state vector.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>int</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/ode/SecondOrderDifferentialEquations.html#getDimension()">getDimension</a></strong>()</code>
<div class="block">Get the dimension of the problem.</div>
</td>
</tr>
</table>
</li>
</ul>
</li>
</ul>
</div>
<div class="details">
<ul class="blockList">
<li class="blockList">
<!-- ============ METHOD DETAIL ========== -->
<ul class="blockList">
<li class="blockList"><a name="method_detail">
<!-- -->
</a>
<h3>Method Detail</h3>
<a name="getDimension()">
<!-- -->
</a>
<ul class="blockList">
<li class="blockList">
<h4>getDimension</h4>
<pre>int getDimension()</pre>
<div class="block">Get the dimension of the problem.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>dimension of the problem</dd></dl>
</li>
</ul>
<a name="computeSecondDerivatives(double, double[], double[], double[])">
<!-- -->
</a>
<ul class="blockListLast">
<li class="blockList">
<h4>computeSecondDerivatives</h4>
<pre>void computeSecondDerivatives(double t,
double[] y,
double[] yDot,
double[] yDDot)</pre>
<div class="block">Get the current time derivative of the state vector.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>t</code> - current value of the independent <I>time</I> variable</dd><dd><code>y</code> - array containing the current value of the state vector</dd><dd><code>yDot</code> - array containing the current value of the first derivative
of the state vector</dd><dd><code>yDDot</code> - placeholder array where to put the second time derivative
of the state vector</dd></dl>
</li>
</ul>
</li>
</ul>
</li>
</ul>
</div>
</div>
<!-- ========= END OF CLASS DATA ========= -->
<!-- ======= START OF BOTTOM NAVBAR ====== -->
<div class="bottomNav"><a name="navbar_bottom">
<!-- -->
</a><a href="#skip-navbar_bottom" title="Skip navigation links"></a><a name="navbar_bottom_firstrow">
<!-- -->
</a>
<ul class="navList" title="Navigation">
<li><a href="../../../../../overview-summary.html">Overview</a></li>
<li><a href="package-summary.html">Package</a></li>
<li class="navBarCell1Rev">Class</li>
<li><a href="class-use/SecondOrderDifferentialEquations.html">Use</a></li>
<li><a href="package-tree.html">Tree</a></li>
<li><a href="../../../../../deprecated-list.html">Deprecated</a></li>
<li><a href="../../../../../index-all.html">Index</a></li>
<li><a href="../../../../../help-doc.html">Help</a></li>
</ul>
<div class="aboutLanguage"><em><script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script></em></div>
</div>
<div class="subNav">
<ul class="navList">
<li><a href="../../../../../org/apache/commons/math3/ode/SecondaryEquations.html" title="interface in org.apache.commons.math3.ode"><span class="strong">Prev Class</span></a></li>
<li><a href="../../../../../org/apache/commons/math3/ode/SecondOrderIntegrator.html" title="interface in org.apache.commons.math3.ode"><span class="strong">Next Class</span></a></li>
</ul>
<ul class="navList">
<li><a href="../../../../../index.html?org/apache/commons/math3/ode/SecondOrderDifferentialEquations.html" target="_top">Frames</a></li>
<li><a href="SecondOrderDifferentialEquations.html" target="_top">No Frames</a></li>
</ul>
<ul class="navList" id="allclasses_navbar_bottom">
<li><a href="../../../../../allclasses-noframe.html">All Classes</a></li>
</ul>
<div>
<script type="text/javascript"><!--
allClassesLink = document.getElementById("allclasses_navbar_bottom");
if(window==top) {
allClassesLink.style.display = "block";
}
else {
allClassesLink.style.display = "none";
}
//-->
</script>
</div>
<div>
<ul class="subNavList">
<li>Summary: </li>
<li>Nested | </li>
<li>Field | </li>
<li>Constr | </li>
<li><a href="#method_summary">Method</a></li>
</ul>
<ul class="subNavList">
<li>Detail: </li>
<li>Field | </li>
<li>Constr | </li>
<li><a href="#method_detail">Method</a></li>
</ul>
</div>
<a name="skip-navbar_bottom">
<!-- -->
</a></div>
<!-- ======== END OF BOTTOM NAVBAR ======= -->
<p class="legalCopy"><small>Copyright © 2003–2016 <a href="http://www.apache.org/">The Apache Software Foundation</a>. All rights reserved.</small></p>
</body>
</html>
|
