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  26 <div class="titlepage"><div><div><h1 class="title">
  27 <a name="quadrature"></a>Chapter&#160;13.&#160;Quadrature and Differentiation</h1></div></div></div>
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  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/diff.html">Numerical Differentiation</a></span></dt>
  53 <dt><span class="section"><a href="math_toolkit/autodiff.html">Automatic Differentiation</a></span></dt>
  54 <dt><span class="section"><a href="math_toolkit/diff0.html">Lanczos Smoothing Derivatives</a></span></dt>
  55 </dl>
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