ally, where <span class="math inline">\(\epsilon\)</span> is the time interval
(also known as the step size); <span class="citation">Leimkuhler and Reich (<a href="#ref-LeimkuhlerReich:2004">2004</a>)</span> provide a
detailed analysis of numerical integration for Hamiltonian systems,
including a derivation of the error bound for the leapfrog
integrator.</p>
</div>
<div id="metropolis-accept-step" class="section level3 unnumbered">
<h3>Metropolis Accept Step</h3>
<p>If the leapfrog integrator were perfect n