forked from johannesgerer/jburkardt-f
-
Notifications
You must be signed in to change notification settings - Fork 2
/
ode.html
201 lines (168 loc) · 4.45 KB
/
ode.html
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
<html>
<head>
<title>
ODE - Shampine and Gordon ODE Solver
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
ODE <br> Shampine and Gordon ODE Solver
</h1>
<hr>
<p>
<b>ODE</b>
is a FORTRAN90 library which
solves a system of ordinary differential equations,
by Shampine and Gordon.
</p>
<p>
Given a system of ordinary differential equations of the form
<pre>
Y' = F(T,Y)
Y(T0) = Y0
</pre>
this program produces a sequence of approximate solution values
Y(TOUT) at later times TOUT.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>ODE</b> is available in
<a href = "../../c_src/ode/ode.html">a C version</a> and
<a href = "../../cpp_src/ode/ode.html">a C++ version</a> and
<a href = "../../f77_src/ode/ode.html">a FORTRAN77 version</a> and
<a href = "../../f_src/ode/ode.html">a FORTRAN90 version.</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/nms/nms.html">
NMS</a>,
a FORTRAN90 library which
includes the <b>ddriv</b> package of ODE solvers.
</p>
<p>
<a href = "../../f77_src/odepack/odepack.html">
ODEPACK</a>,
a FORTRAN77 library which
contains nine ODE solvers, including LSODE, LSODES, LSODA,
LSODAR, LSODPK, LSODKR, LSODI, LSOIBT, and LSODIS,
by Alan Hindmarsh.
</p>
<p>
<a href = "../../f_src/rk4/rk4.html">
RK4</a>,
a FORTRAN90 library which
applies the fourth order Runge-Kutta algorithm to estimate the
solution of an ordinary differential equation at the next time step.
</p>
<p>
<a href = "../../f_src/rkf45/rkf45.html">
RKF45</a>,
a FORTRAN90 library which
implements the Runge-Kutta-Fehlberg ODE solver.
</p>
<p>
<a href = "../../f_src/test_ode/test_ode.html">
TEST_ODE</a>,
a FORTRAN90 library which
defines test problems for ODE solvers.
</p>
<h3 align = "center">
Author:
</h3>
<p>
Lawrence Shampine, Marilyn Gordon.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Lawrence Shampine, Marilyn Gordon,<br>
Computer Solution of Ordinary Differential Equations:
The Initial Value Problem,<br>
Freeman, 1975,<br>
ISBN: 0716704617,<br>
LC: QA372.S416.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "ode.f90">ode.f90</a>, the source code.
</li>
<li>
<a href = "ode.sh">ode.sh</a>,
commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "ode_prb.f90">ode_prb.f90</a>,
a sample calling program.
</li>
<li>
<a href = "ode_prb.sh">ode_prb.sh</a>,
commands to compile and run the sample program.
</li>
<li>
<a href = "ode_prb_output.txt">ode_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>ODE</b> is the user interface to an ordinary differential equation solver.
</li>
<li>
<b>DE</b> carries out the ODE solution algorithm.
</li>
<li>
<b>STEP</b> integrates the system of ODE's one step, from X to X+H.
</li>
<li>
<b>INTRP</b> approximates the solution at XOUT by polynomial interpolation.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../f_src.html">
the FORTRAN90 source codes</a>.
</p>
<hr>
<i>
Last revised on 15 March 2005.
</i>
<!-- John Burkardt -->
</body>
<!-- Initial HTML skeleton created by HTMLINDEX. -->
</html>