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<span id="documentation"></span><h1>Welcome to the documentation for XMDS2!<a class="headerlink" href="#welcome-to-the-documentation-for-xmds2" title="Permalink to this headline">¶</a></h1>
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<li class="toctree-l1"><a class="reference internal" href="introduction.html">Introduction</a></li>
<li class="toctree-l1"><a class="reference internal" href="installation.html">Installation</a><ul>
<li class="toctree-l2"><a class="reference internal" href="installation.html#installers">Installers</a></li>
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<li class="toctree-l2"><a class="reference internal" href="worked_examples.html#the-nonlinear-schrodinger-equation">The nonlinear Schrödinger equation</a></li>
<li class="toctree-l2"><a class="reference internal" href="worked_examples.html#kubo-oscillator">Kubo Oscillator</a></li>
<li class="toctree-l2"><a class="reference internal" href="worked_examples.html#fibre-noise">Fibre Noise</a></li>
<li class="toctree-l2"><a class="reference internal" href="worked_examples.html#integer-dimensions">Integer Dimensions</a></li>
<li class="toctree-l2"><a class="reference internal" href="worked_examples.html#wigner-function">Wigner Function</a></li>
<li class="toctree-l2"><a class="reference internal" href="worked_examples.html#finding-the-ground-state-of-a-bec-continuous-renormalisation">Finding the Ground State of a BEC (continuous renormalisation)</a></li>
<li class="toctree-l2"><a class="reference internal" href="worked_examples.html#finding-the-ground-state-of-a-bec-again">Finding the Ground State of a BEC again</a></li>
<li class="toctree-l2"><a class="reference internal" href="worked_examples.html#multi-component-schrodinger-equation">Multi-component Schrödinger equation</a></li>
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<li class="toctree-l2"><a class="reference internal" href="reference_installation_and_configuration.html">Configuration, installation and runtime options</a></li>
<li class="toctree-l2"><a class="reference internal" href="reference_usefulXMLSyntax.html">Useful XML Syntax</a></li>
<li class="toctree-l2"><a class="reference internal" href="reference_schema.html">XMDS2 XML Schema</a></li>
<li class="toctree-l2"><a class="reference internal" href="reference_elements.html">XMDS2 script elements</a></li>
<li class="toctree-l2"><a class="reference internal" href="bulirschStoer.html">Modified Midpoint Method</a></li>
<li class="toctree-l2"><a class="reference internal" href="bulirschStoer.html#bulirsch-stoer-algorithm">Bulirsch-Stoer Algorithm</a></li>
<li class="toctree-l2"><a class="reference internal" href="bulirschStoer.html#error-scaling-behaviour">Error Scaling Behaviour</a></li>
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<li class="toctree-l1"><a class="reference internal" href="advanced_topics.html">Advanced Topics</a><ul>
<li class="toctree-l2"><a class="reference internal" href="advanced_topics.html#importing-data">Importing data</a></li>
<li class="toctree-l2"><a class="reference internal" href="advanced_topics.html#convolutions-and-fourier-transforms">Convolutions and Fourier transforms</a></li>
<li class="toctree-l2"><a class="reference internal" href="advanced_topics.html#loose-geometry-matching-mode">‘Loose’ <tt class="docutils literal"><span class="pre">geometry_matching_mode</span></tt></a></li>
<li class="toctree-l2"><a class="reference internal" href="advanced_topics.html#dimension-aliases">Dimension aliases</a></li>
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<li class="toctree-l1"><a class="reference internal" href="faq.html">Frequently Asked Questions</a><ul>
<li class="toctree-l2"><a class="reference internal" href="faq.html#xmds-scripts-look-complicated-how-do-i-start">XMDS scripts look complicated! How do I start?</a></li>
<li class="toctree-l2"><a class="reference internal" href="faq.html#where-can-i-get-help">Where can I get help?</a></li>
<li class="toctree-l2"><a class="reference internal" href="faq.html#how-should-i-cite-xmds2">How should I cite XMDS2?</a></li>
<li class="toctree-l2"><a class="reference internal" href="faq.html#i-think-i-found-a-bug-where-should-i-report-it">I think I found a bug! Where should I report it?</a></li>
<li class="toctree-l2"><a class="reference internal" href="faq.html#how-do-i-put-time-dependence-into-my-vectors">How do I put time dependence into my vectors?</a></li>
<li class="toctree-l2"><a class="reference internal" href="faq.html#can-i-specify-the-range-of-my-domain-and-number-of-grid-points-at-run-time">Can I specify the range of my domain and number of grid points at run-time?</a></li>
<li class="toctree-l2"><a class="reference internal" href="faq.html#when-can-i-use-ip-operators-and-why-should-i-and-when-must-i-use-ex-operators">When can I use IP operators (and why should I) and when must I use EX operators?</a></li>
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<li class="toctree-l1"><a class="reference internal" href="upgrade.html">Upgrading From XMDS 1.X</a></li>
<li class="toctree-l1"><a class="reference internal" href="optimisation_hints.html">Optimisation Hints</a><ul>
<li class="toctree-l2"><a class="reference internal" href="optimisation_hints.html#geometry-and-transform-based-tricks">Geometry and transform-based tricks</a></li>
<li class="toctree-l2"><a class="reference internal" href="optimisation_hints.html#reduce-code-complexity">Reduce code complexity</a></li>
<li class="toctree-l2"><a class="reference internal" href="optimisation_hints.html#compiler-and-library-tricks">Compiler and library tricks</a></li>
<li class="toctree-l2"><a class="reference internal" href="optimisation_hints.html#atom-optics-specific-hints">Atom-optics-specific hints</a></li>
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<li class="toctree-l1"><a class="reference internal" href="xsil2graphics2.html">xsil2graphics2</a></li>
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<li class="toctree-l2"><a class="reference internal" href="developer.html#xmds-documentation">XMDS Documentation</a></li>
<li class="toctree-l2"><a class="reference internal" href="developer.html#how-to-update-xmds2-script-validator-xml-schema">How to update <tt class="docutils literal"><span class="pre">XMDS2</span></tt> script validator (XML schema)</a></li>
<li class="toctree-l2"><a class="reference internal" href="developer.html#how-to-introduce-a-new-integrator-stepper-into-the-xmds2-environment">How to introduce a new integrator Stepper into the XMDS2 environment</a></li>
<li class="toctree-l2"><a class="reference internal" href="developer.html#logical-breakdown-of-xmds2-parsing-process">Logical breakdown of XMDS2 Parsing Process</a></li>
<li class="toctree-l2"><a class="reference internal" href="developer.html#directory-layout">Directory layout</a></li>
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<li class="toctree-l1"><a class="reference internal" href="licensing.html">Licensing</a><ul>
<li class="toctree-l2"><a class="reference internal" href="licensing.html#gnu-general-public-license">GNU General Public License</a></li>
<li class="toctree-l2"><a class="reference internal" href="licensing.html#gnu-free-documentation-license">GNU Free Documentation License</a></li>
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<li class="toctree-l1"><a class="reference internal" href="news.html">News</a><ul>
<li class="toctree-l2"><a class="reference internal" href="news.html#xmds-2-2-1-xmds2-is-a-game-of-two-halves-september-30-2014">XMDS 2.2.1 “XMDS2 is a game of two halves” (September 30, 2014)</a></li>
<li class="toctree-l2"><a class="reference internal" href="news.html#xmds-2-2-0-out-of-cheese-error-january-13-2014">XMDS 2.2.0 “Out of cheese error” (January 13, 2014)</a></li>
<li class="toctree-l2"><a class="reference internal" href="news.html#xmds-2-1-4-well-if-this-isn-t-nice-i-don-t-know-what-is-september-27-2013">XMDS 2.1.4 “Well if this isn’t nice, I don’t know what is” (September 27, 2013)</a></li>
<li class="toctree-l2"><a class="reference internal" href="news.html#xmds-2-1-3-happy-mollusc-june-7-2013">XMDS 2.1.3 “Happy Mollusc” (June 7, 2013)</a></li>
<li class="toctree-l2"><a class="reference internal" href="news.html#xmds-2-1-2-happy-mollusc-october-15-2012">XMDS 2.1.2 “Happy Mollusc” (October 15, 2012)</a></li>
<li class="toctree-l2"><a class="reference internal" href="news.html#xmds-2-1-happy-mollusc-june-14-2012">XMDS 2.1 “Happy Mollusc” (June 14, 2012)</a></li>
<li class="toctree-l2"><a class="reference internal" href="news.html#xmds-2-0-shiny-september-13-2010">XMDS 2.0 “Shiny!” (September 13, 2010)</a></li>
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