1<html> 2<head> 3<meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> 4<title>Chapter 13. Quadrature and Differentiation</title> 5<link rel="stylesheet" href="math.css" type="text/css"> 6<meta name="generator" content="DocBook XSL Stylesheets V1.79.1"> 7<link rel="home" href="index.html" title="Math Toolkit 2.12.0"> 8<link rel="up" href="index.html" title="Math Toolkit 2.12.0"> 9<link rel="prev" href="math_toolkit/quintic_hermite.html" title="Quintic Hermite interpolation"> 10<link rel="next" href="math_toolkit/trapezoidal.html" title="Trapezoidal Quadrature"> 11</head> 12<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"> 13<table cellpadding="2" width="100%"><tr> 14<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../../boost.png"></td> 15<td align="center"><a href="../../../../index.html">Home</a></td> 16<td align="center"><a href="../../../../libs/libraries.htm">Libraries</a></td> 17<td align="center"><a href="http://www.boost.org/users/people.html">People</a></td> 18<td align="center"><a href="http://www.boost.org/users/faq.html">FAQ</a></td> 19<td align="center"><a href="../../../../more/index.htm">More</a></td> 20</tr></table> 21<hr> 22<div class="spirit-nav"> 23<a accesskey="p" href="math_toolkit/quintic_hermite.html"><img src="../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="index.html"><img src="../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="index.html"><img src="../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="math_toolkit/trapezoidal.html"><img src="../../../../doc/src/images/next.png" alt="Next"></a> 24</div> 25<div class="chapter"> 26<div class="titlepage"><div><div><h1 class="title"> 27<a name="quadrature"></a>Chapter 13. Quadrature and Differentiation</h1></div></div></div> 28<div class="toc"> 29<p><b>Table of Contents</b></p> 30<dl class="toc"> 31<dt><span class="section"><a href="math_toolkit/trapezoidal.html">Trapezoidal Quadrature</a></span></dt> 32<dt><span class="section"><a href="math_toolkit/gauss.html">Gauss-Legendre quadrature</a></span></dt> 33<dt><span class="section"><a href="math_toolkit/gauss_kronrod.html">Gauss-Kronrod Quadrature</a></span></dt> 34<dt><span class="section"><a href="math_toolkit/double_exponential.html">Double-exponential quadrature</a></span></dt> 35<dd><dl> 36<dt><span class="section"><a href="math_toolkit/double_exponential/de_overview.html">Overview</a></span></dt> 37<dt><span class="section"><a href="math_toolkit/double_exponential/de_tanh_sinh.html">tanh_sinh</a></span></dt> 38<dt><span class="section"><a href="math_toolkit/double_exponential/de_tanh_sinh_2_arg.html">Handling 39 functions with large features near an endpoint with tanh-sinh quadrature</a></span></dt> 40<dt><span class="section"><a href="math_toolkit/double_exponential/de_sinh_sinh.html">sinh_sinh</a></span></dt> 41<dt><span class="section"><a href="math_toolkit/double_exponential/de_exp_sinh.html">exp_sinh</a></span></dt> 42<dt><span class="section"><a href="math_toolkit/double_exponential/de_tol.html">Setting the Termination 43 Condition for Integration</a></span></dt> 44<dt><span class="section"><a href="math_toolkit/double_exponential/de_levels.html">Setting the 45 Maximum Interval Halvings and Memory Requirements</a></span></dt> 46<dt><span class="section"><a href="math_toolkit/double_exponential/de_thread.html">Thread Safety</a></span></dt> 47<dt><span class="section"><a href="math_toolkit/double_exponential/de_caveats.html">Caveats</a></span></dt> 48<dt><span class="section"><a href="math_toolkit/double_exponential/de_refes.html">References</a></span></dt> 49</dl></dd> 50<dt><span class="section"><a href="math_toolkit/fourier_integrals.html">Fourier Integrals</a></span></dt> 51<dt><span class="section"><a href="math_toolkit/naive_monte_carlo.html">Naive Monte Carlo Integration</a></span></dt> 52<dt><span class="section"><a href="math_toolkit/wavelet_transforms.html">Wavelet Transforms</a></span></dt> 53<dt><span class="section"><a href="math_toolkit/diff.html">Numerical Differentiation</a></span></dt> 54<dt><span class="section"><a href="math_toolkit/autodiff.html">Automatic Differentiation</a></span></dt> 55<dt><span class="section"><a href="math_toolkit/diff0.html">Lanczos Smoothing Derivatives</a></span></dt> 56</dl> 57</div> 58</div> 59<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> 60<td align="left"></td> 61<td align="right"><div class="copyright-footer">Copyright © 2006-2019 Nikhar 62 Agrawal, Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, 63 Hubert Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Matthew Pulver, Johan 64 Råde, Gautam Sewani, Benjamin Sobotta, Nicholas Thompson, Thijs van den Berg, 65 Daryle Walker and Xiaogang Zhang<p> 66 Distributed under the Boost Software License, Version 1.0. (See accompanying 67 file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>) 68 </p> 69</div></td> 70</tr></table> 71<hr> 72<div class="spirit-nav"> 73<a accesskey="p" href="math_toolkit/quintic_hermite.html"><img src="../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="index.html"><img src="../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="index.html"><img src="../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="math_toolkit/trapezoidal.html"><img src="../../../../doc/src/images/next.png" alt="Next"></a> 74</div> 75</body> 76</html> 77
