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Viewing changes to QAGP-adaptive-integration-with-known-singular-points.html

Committer: Bazaar Package Importer
Author(s): Dirk Eddelbuettel
Date: 2006-04-12 19:46:32 UTC
mfrom: (1.3.1 upstream) (3.1.1 dapper)
Revision ID: james.westby@ubuntu.com-20060412194632-c9lodpl075pv9si3

Tags: 1.8-1

* New upstream release 1.8
* As with previous releases, the sources were obtained from the FSF web
pages by means of a wget call (c.f. the debian/rules target 'upstream')

* debian/control: Standards-Version increased to 3.6.2
* debian/copyright: Updated FSF address
* debian/rules: Set DH_COMPAT=4

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QAGP-adaptive-integration-with-known-singular-points.html

<head>

<title>QAGP adaptive integration with known singular points - GNU Scientific Library -- Reference Manual</title>

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<p>

Next: <a rel="next" accesskey="n" href="QAGI-adaptive-integration-on-infinite-intervals.html#QAGI-adaptive-integration-on-infinite-intervals">QAGI adaptive integration on infinite intervals</a>,

Previous: <a rel="previous" accesskey="p" href="QAGS-adaptive-integration-with-singularities.html#QAGS-adaptive-integration-with-singularities">QAGS adaptive integration with singularities</a>,

Up: <a rel="up" accesskey="u" href="Numerical-Integration.html#Numerical-Integration">Numerical Integration</a>

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</div>

<h3 class="section">16.5 QAGP adaptive integration with known singular points</h3>

— Function: int <b>gsl_integration_qagp</b> (<var>const gsl_function * f, double * pts, size_t npts, double epsabs, double epsrel, size_t limit, gsl_integration_workspace * workspace, double * result, double * abserr</var>)<var><a name="index-gsl_005fintegration_005fqagp-1353"></a></var><br>

<p>This function applies the adaptive integration algorithm QAGS taking

account of the user-supplied locations of singular points. The array

<var>pts</var> of length <var>npts</var> should contain the endpoints of the

integration ranges defined by the integration region and locations of

the singularities. For example, to integrate over the region

(a,b) with break-points at x_1, x_2, x_3 (where

a < x_1 < x_2 < x_3 < b) the following <var>pts</var> array should be used

<pre class="example"> pts[0] = a

pts[1] = x_1

pts[2] = x_2

pts[3] = x_3

pts[4] = b

</pre>

<p class="noindent">with <var>npts</var> = 5.

<p class="noindent">If you know the locations of the singular points in the integration

region then this routine will be faster than <code>QAGS</code>.

</blockquote></div>

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