<?xml version="1.0" encoding="ascii"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN"
"DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en">
<head>
<title>Scientific.Functions.Romberg</title>
<link rel="stylesheet" href="epydoc.css" type="text/css" />
<script type="text/javascript" src="epydoc.js"></script>
</head>
<body bgcolor="white" text="black" link="blue" vlink="#204080"
alink="#204080">
<!-- ==================== NAVIGATION BAR ==================== -->
<table class="navbar" border="0" width="100%" cellpadding="0"
bgcolor="#a0c0ff" cellspacing="0">
<tr valign="middle">
<!-- Home link -->
<th> <a
href="Scientific-module.html">Home</a> </th>
<!-- Tree link -->
<th> <a
href="module-tree.html">Trees</a> </th>
<!-- Index link -->
<th> <a
href="identifier-index.html">Indices</a> </th>
<!-- Help link -->
<th> <a
href="help.html">Help</a> </th>
<!-- Project homepage -->
<th class="navbar" align="right" width="100%">
<table border="0" cellpadding="0" cellspacing="0">
<tr><th class="navbar" align="center"
><a class="navbar" target="_top" href="http://dirac.cnrs-orleans.fr/ScientificPython/">Scientific Python</a></th>
</tr></table></th>
</tr>
</table>
<table width="100%" cellpadding="0" cellspacing="0">
<tr valign="top">
<td width="100%">
<span class="breadcrumbs">
<a href="Scientific-module.html">Package Scientific</a> ::
<a href="Scientific.Functions-module.html">Package Functions</a> ::
Module Romberg
</span>
</td>
<td>
<table cellpadding="0" cellspacing="0">
<!-- hide/show private -->
<tr><td align="right"><span class="options"
>[<a href="frames.html" target="_top">frames</a
>] | <a href="Scientific.Functions.Romberg-module.html"
target="_top">no frames</a>]</span></td></tr>
</table>
</td>
</tr>
</table>
<!-- ==================== MODULE DESCRIPTION ==================== -->
<h1 class="epydoc">Module Romberg</h1><p class="nomargin-top"></p>
<p>Numerical integration using the Romberg algorithm</p>
<!-- ==================== FUNCTIONS ==================== -->
<a name="section-Functions"></a>
<table class="summary" border="1" cellpadding="3"
cellspacing="0" width="100%" bgcolor="white">
<tr bgcolor="#70b0f0" class="table-header">
<td align="left" colspan="2" class="table-header">
<span class="table-header">Functions</span></td>
</tr>
<tr>
<td width="15%" align="right" valign="top" class="summary">
<span class="summary-type">number</span>
</td><td class="summary">
<table width="100%" cellpadding="0" cellspacing="0" border="0">
<tr>
<td><span class="summary-sig"><a href="Scientific.Functions.Romberg-module.html#romberg" class="summary-sig-name">romberg</a>(<span class="summary-sig-arg">function</span>,
<span class="summary-sig-arg">interval</span>,
<span class="summary-sig-arg">accuracy</span>=<span class="summary-sig-default">1e-07</span>)</span><br />
Numerical <a name="index-integration"></a><i
class="indexterm">integration</i> using the <a
name="index-Romberg"></a><i class="indexterm">Romberg</i> method</td>
<td align="right" valign="top">
</td>
</tr>
</table>
</td>
</tr>
<tr>
<td width="15%" align="right" valign="top" class="summary">
<span class="summary-type">number</span>
</td><td class="summary">
<table width="100%" cellpadding="0" cellspacing="0" border="0">
<tr>
<td><span class="summary-sig"><a href="Scientific.Functions.Romberg-module.html#trapezoid" class="summary-sig-name">trapezoid</a>(<span class="summary-sig-arg">function</span>,
<span class="summary-sig-arg">interval</span>,
<span class="summary-sig-arg">numtraps</span>)</span><br />
Numerical <a name="index-integration"></a><i
class="indexterm">integration</i> using the <a
name="index-trapezoidal"></a><i class="indexterm">trapezoidal</i>
rule</td>
<td align="right" valign="top">
</td>
</tr>
</table>
</td>
</tr>
</table>
<!-- ==================== FUNCTION DETAILS ==================== -->
<a name="section-FunctionDetails"></a>
<table class="details" border="1" cellpadding="3"
cellspacing="0" width="100%" bgcolor="white">
<tr bgcolor="#70b0f0" class="table-header">
<td align="left" colspan="2" class="table-header">
<span class="table-header">Function Details</span></td>
</tr>
</table>
<a name="romberg"></a>
<div>
<table class="details" border="1" cellpadding="3"
cellspacing="0" width="100%" bgcolor="white">
<tr><td>
<table width="100%" cellpadding="0" cellspacing="0" border="0">
<tr valign="top"><td>
<h3 class="epydoc"><span class="sig"><span class="sig-name">romberg</span>(<span class="sig-arg">function</span>,
<span class="sig-arg">interval</span>,
<span class="sig-arg">accuracy</span>=<span class="sig-default">1e-07</span>)</span>
</h3>
</td><td align="right" valign="top"
>
</td>
</tr></table>
<p>Numerical <a name="index-integration"></a><i
class="indexterm">integration</i> using the <a
name="index-Romberg"></a><i class="indexterm">Romberg</i> method</p>
<p>Example:</p>
<pre class="literalblock">
>>>from Scientific.Functions.Romberg import romberg
>>>from Scientific.N import pi, tan
>>>romberg(tan, (0.0, pi/3.0))
yields '0.693147180562'
</pre>
<dl class="fields">
<dt>Parameters:</dt>
<dd><ul class="nomargin-top">
<li><strong class="pname"><code>function</code></strong> (callable) - a function of one variable</li>
<li><strong class="pname"><code>interval</code></strong> (sequence of two <code>float</code>s) - the lower and upper limit of the integration interval</li>
<li><strong class="pname"><code>accuracy</code></strong> (<code>float</code>) - convergence criterion (absolute error)</li>
</ul></dd>
<dt>Returns: number</dt>
<dd>the numerical integral of the function over the interval</dd>
</dl>
</td></tr></table>
</div>
<a name="trapezoid"></a>
<div>
<table class="details" border="1" cellpadding="3"
cellspacing="0" width="100%" bgcolor="white">
<tr><td>
<table width="100%" cellpadding="0" cellspacing="0" border="0">
<tr valign="top"><td>
<h3 class="epydoc"><span class="sig"><span class="sig-name">trapezoid</span>(<span class="sig-arg">function</span>,
<span class="sig-arg">interval</span>,
<span class="sig-arg">numtraps</span>)</span>
</h3>
</td><td align="right" valign="top"
>
</td>
</tr></table>
<p>Numerical <a name="index-integration"></a><i
class="indexterm">integration</i> using the <a
name="index-trapezoidal"></a><i class="indexterm">trapezoidal</i>
rule</p>
<p>Example:</p>
<pre class="literalblock">
>>>from Scientific.Functions.Romberg import trapezoid
>>>from Scientific.N import pi, tan
>>>trapezoid(tan, (0.0, pi/3.0), 100)
yields 0.69317459482518262
</pre>
<dl class="fields">
<dt>Parameters:</dt>
<dd><ul class="nomargin-top">
<li><strong class="pname"><code>function</code></strong> (callable) - a function of one variable</li>
<li><strong class="pname"><code>interval</code></strong> (sequence of two <code>float</code>s) - the lower and upper limit of the integration interval</li>
<li><strong class="pname"><code>numtraps</code></strong> (<code>int</code>) - the number of trapezoids</li>
</ul></dd>
<dt>Returns: number</dt>
<dd>the numerical integral of the function over the interval</dd>
</dl>
</td></tr></table>
</div>
<br />
<!-- ==================== NAVIGATION BAR ==================== -->
<table class="navbar" border="0" width="100%" cellpadding="0"
bgcolor="#a0c0ff" cellspacing="0">
<tr valign="middle">
<!-- Home link -->
<th> <a
href="Scientific-module.html">Home</a> </th>
<!-- Tree link -->
<th> <a
href="module-tree.html">Trees</a> </th>
<!-- Index link -->
<th> <a
href="identifier-index.html">Indices</a> </th>
<!-- Help link -->
<th> <a
href="help.html">Help</a> </th>
<!-- Project homepage -->
<th class="navbar" align="right" width="100%">
<table border="0" cellpadding="0" cellspacing="0">
<tr><th class="navbar" align="center"
><a class="navbar" target="_top" href="http://dirac.cnrs-orleans.fr/ScientificPython/">Scientific Python</a></th>
</tr></table></th>
</tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" width="100%%">
<tr>
<td align="left" class="footer">
Generated by Epydoc 3.0.1 on Thu Dec 4 08:05:35 2008
</td>
<td align="right" class="footer">
<a target="mainFrame" href="http://epydoc.sourceforge.net"
>http://epydoc.sourceforge.net</a>
</td>
</tr>
</table>
<script type="text/javascript">
<!--
// Private objects are initially displayed (because if
// javascript is turned off then we want them to be
// visible); but by default, we want to hide them. So hide
// them unless we have a cookie that says to show them.
checkCookie();
// -->
</script>
</body>
</html>
distrib
>
Mageia
>
7
>
armv7hl
>
media
>
core-release
>
by-pkgid
>
a08a7de9f97aae6293c2abe89f1e27ab
>
files
>
324
