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<div class="chapter">
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<div class="titlepage"><div><div><h1 class="title">
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<a name="quadrature"></a>Chapter 13. Quadrature and Differentiation</h1></div></div></div>
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<div class="toc">
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<p><b>Table of Contents</b></p>
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<dl class="toc">
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<dt><span class="section"><a href="math_toolkit/trapezoidal.html">Trapezoidal Quadrature</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/gauss.html">Gauss-Legendre quadrature</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/gauss_kronrod.html">Gauss-Kronrod Quadrature</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/double_exponential.html">Double-exponential quadrature</a></span></dt>
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<dd><dl>
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<dt><span class="section"><a href="math_toolkit/double_exponential/de_overview.html">Overview</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/double_exponential/de_tanh_sinh.html">tanh_sinh</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/double_exponential/de_tanh_sinh_2_arg.html">Handling
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functions with large features near an endpoint with tanh-sinh quadrature</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/double_exponential/de_sinh_sinh.html">sinh_sinh</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/double_exponential/de_exp_sinh.html">exp_sinh</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/double_exponential/de_tol.html">Setting the Termination
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Condition for Integration</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/double_exponential/de_levels.html">Setting the
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Maximum Interval Halvings and Memory Requirements</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/double_exponential/de_thread.html">Thread Safety</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/double_exponential/de_caveats.html">Caveats</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/double_exponential/de_refes.html">References</a></span></dt>
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</dl></dd>
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<dt><span class="section"><a href="math_toolkit/fourier_integrals.html">Fourier Integrals</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/naive_monte_carlo.html">Naive Monte Carlo Integration</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/diff.html">Numerical Differentiation</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/autodiff.html">Automatic Differentiation</a></span></dt>
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<dt><span class="section"><a href="math_toolkit/diff0.html">Lanczos Smoothing Derivatives</a></span></dt>
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</dl>
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<td align="right"><div class="copyright-footer">Copyright © 2006-2019 Nikhar
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Agrawal, Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos,
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Hubert Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Matthew Pulver, Johan
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Råde, Gautam Sewani, Benjamin Sobotta, Nicholas Thompson, Thijs van den Berg,
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Daryle Walker and Xiaogang Zhang<p>
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Distributed under the Boost Software License, Version 1.0. (See accompanying
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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>)
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