Documentation for db149bf3b7

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<title>Algorithms_in_C++: Ordinary Differential Equations</title>
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<p >Integration functions for implementations with solving <a href="https://en.wikipedia.org/wiki/Ordinary_differential_equation" target="_blank">ordinary differential equations</a> (ODEs) of any order and and any number of independent variables. </p>
<h2 class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#gae0509f8843e2bc42de2abbd00a14b7b9">&#9670;&nbsp;</a></span>forward_euler()</h2>
<h2 class="memtitle"><span class="permalink"><a href="#gae0509f8843e2bc42de2abbd00a14b7b9">&#9670;&#160;</a></span>forward_euler()</h2>
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<div class="ttc" id="aopen_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ofstream/open.html">std::ofstream::open</a></div><div class="ttdeci">T open(T... args)</div></div>
<div class="ttc" id="aperror_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/c/perror.html">std::perror</a></div><div class="ttdeci">T perror(T... args)</div></div>
<div class="ttc" id="asize_t_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/types/size_t.html">std::size_t</a></div></div>
<div class="ttc" id="avalarray_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray&lt; double &gt;</a></div></div>
<div class="ttc" id="avalarray_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a></div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ga195d23bbdfcb80e83c9cda45c9ad5723">&#9670;&nbsp;</a></span>forward_euler_step()</h2>
<h2 class="memtitle"><span class="permalink"><a href="#ga195d23bbdfcb80e83c9cda45c9ad5723">&#9670;&#160;</a></span>forward_euler_step()</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ga36ff0710861ca39d957046c0b09b2985">&#9670;&nbsp;</a></span>midpoint_euler()</h2>
<h2 class="memtitle"><span class="permalink"><a href="#ga36ff0710861ca39d957046c0b09b2985">&#9670;&#160;</a></span>midpoint_euler()</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ga8c319db420c3d97a83e9dcca803b6812">&#9670;&nbsp;</a></span>midpoint_euler_step()</h2>
<h2 class="memtitle"><span class="permalink"><a href="#ga8c319db420c3d97a83e9dcca803b6812">&#9670;&#160;</a></span>midpoint_euler_step()</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ga3874d294ab00fe9ce8731c5b7991a089">&#9670;&nbsp;</a></span>semi_implicit_euler()</h2>
<h2 class="memtitle"><span class="permalink"><a href="#ga3874d294ab00fe9ce8731c5b7991a089">&#9670;&#160;</a></span>semi_implicit_euler()</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ga827bf009831ddc477c5fa8891d5cb35f">&#9670;&nbsp;</a></span>semi_implicit_euler_step()</h2>
<h2 class="memtitle"><span class="permalink"><a href="#ga827bf009831ddc477c5fa8891d5cb35f">&#9670;&#160;</a></span>semi_implicit_euler_step()</h2>
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