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	<id>https://invarians.org/index.php?action=history&amp;feed=atom&amp;title=The_Principia_Machina%2FTools%2FSpECTRE</id>
	<title>The Principia Machina/Tools/SpECTRE - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://invarians.org/index.php?action=history&amp;feed=atom&amp;title=The_Principia_Machina%2FTools%2FSpECTRE"/>
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	<updated>2026-10-21T08:18:15Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.46.2</generator>
	<entry>
		<id>https://invarians.org/index.php?title=The_Principia_Machina/Tools/SpECTRE&amp;diff=6748&amp;oldid=prev</id>
		<title>PMA Publisher: Published from the Principia Machina source</title>
		<link rel="alternate" type="text/html" href="https://invarians.org/index.php?title=The_Principia_Machina/Tools/SpECTRE&amp;diff=6748&amp;oldid=prev"/>
		<updated>2026-10-15T19:34:14Z</updated>

		<summary type="html">&lt;p&gt;Published from the Principia Machina source&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw-interface=&quot;&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 19:34, 15 October 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{DISPLAYTITLE:SpECTRE}}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;SpECTRE: Discontinuous Galerkin Numerical Relativity&amp;#039;&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;SpECTRE: Discontinuous Galerkin Numerical Relativity&amp;#039;&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Principia Machina]] [[Category:Tools]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Principia Machina]] [[Category:Tools]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l30&quot;&gt;Line 30:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 31:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;[[The Principia Machina/Research Toolkit/Bibliography#SPECTRE2017|SPECTRE2017]]&amp;#039;&amp;#039;&amp;#039; &amp;amp;ndash; Kidder L.E., Field S.E., Foucart F., Schnetter E., Teukolsky S.A., Bohn A., Deppe N., Diener P., Hébert F., Lippuner J., Miller J., Ott C.D., Scheel M.A., Vincent T. (2017). SpECTRE: A task-based discontinuous Galerkin code for relativistic astrophysics. J. Comput. Phys. 335, 84–114. [https://doi.org/10.1016/j.jcp.2016.12.059 doi:10.1016/j.jcp.2016.12.059].&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;[[The Principia Machina/Research Toolkit/Bibliography#SPECTRE2017|SPECTRE2017]]&amp;#039;&amp;#039;&amp;#039; &amp;amp;ndash; Kidder L.E., Field S.E., Foucart F., Schnetter E., Teukolsky S.A., Bohn A., Deppe N., Diener P., Hébert F., Lippuner J., Miller J., Ott C.D., Scheel M.A., Vincent T. (2017). SpECTRE: A task-based discontinuous Galerkin code for relativistic astrophysics. J. Comput. Phys. 335, 84–114. [https://doi.org/10.1016/j.jcp.2016.12.059 doi:10.1016/j.jcp.2016.12.059].&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;[[The Principia Machina/Research Toolkit/Bibliography#SPECTRE-SITE|SPECTRE-SITE]]&amp;#039;&amp;#039;&amp;#039; &amp;amp;ndash; SXS Collaboration / SpECTRE developers (2026). SpECTRE v2026.09.05. Zenodo. [https://doi.org/10.5281/zenodo.22433001 doi:10.5281/zenodo.22433001].&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;[[The Principia Machina/Research Toolkit/Bibliography#SPECTRE-SITE|SPECTRE-SITE]]&amp;#039;&amp;#039;&amp;#039; &amp;amp;ndash; SXS Collaboration / SpECTRE developers (2026). SpECTRE v2026.09.05. Zenodo. [https://doi.org/10.5281/zenodo.22433001 doi:10.5281/zenodo.22433001].&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>PMA Publisher</name></author>
	</entry>
	<entry>
		<id>https://invarians.org/index.php?title=The_Principia_Machina/Tools/SpECTRE&amp;diff=5824&amp;oldid=prev</id>
		<title>BFP Rauch: 1 revision imported</title>
		<link rel="alternate" type="text/html" href="https://invarians.org/index.php?title=The_Principia_Machina/Tools/SpECTRE&amp;diff=5824&amp;oldid=prev"/>
		<updated>2026-10-06T03:41:02Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw-interface=&quot;&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 03:41, 6 October 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>BFP Rauch</name></author>
	</entry>
	<entry>
		<id>https://invarians.org/index.php?title=The_Principia_Machina/Tools/SpECTRE&amp;diff=5823&amp;oldid=prev</id>
		<title>DeltaS Zero: Physics tool added 2026-10-06: SpECTRE; scores by the research pass, with references (tpm_toolkit 0.1.0)</title>
		<link rel="alternate" type="text/html" href="https://invarians.org/index.php?title=The_Principia_Machina/Tools/SpECTRE&amp;diff=5823&amp;oldid=prev"/>
		<updated>2026-10-06T03:40:47Z</updated>

		<summary type="html">&lt;p&gt;Physics tool added 2026-10-06: SpECTRE; scores by the research pass, with references (tpm_toolkit 0.1.0)&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;SpECTRE: Discontinuous Galerkin Numerical Relativity&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
[[Category:Principia Machina]] [[Category:Tools]]&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;Added to the survey on 2026-10-06 by the [[The Principia Machina/Research Toolkit|Research Toolkit]]&amp;#039;s research pass. The scores below are that pass&amp;#039;s assessment from the evidence cited under References, on the survey&amp;#039;s four axes and scale; they are not the original survey&amp;#039;s (2026-09-26), and no rule of the Principia Machina reads them. See [[The Principia Machina/Tools#The additions of 2026-10-06|the additions]] on the front page.&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
== Overview &amp;amp; Architectural Fit ==&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;SpECTRE&amp;#039;&amp;#039;&amp;#039; evolves the equations of relativistic astrophysics (mergers of black holes and neutron stars, supernovae) with a task-based discontinuous Galerkin and spectral-element method, written in C++ on Charm++. It solves systems in the conservation form &amp;lt;math&amp;gt;\partial_t u + \partial_i F^i(u) = S(u)&amp;lt;/math&amp;gt; to high order on many processors.&lt;br /&gt;
&lt;br /&gt;
== Mathematical Evaluation for TPM ==&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Lagrangian / Action (1.5/10):&amp;#039;&amp;#039;&amp;#039; Evolves fixed formulations and takes no action as input.&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Field / PDE (8.5/10):&amp;#039;&amp;#039;&amp;#039; High-order and massively parallel.&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Relativity (9/10):&amp;#039;&amp;#039;&amp;#039; A strong-field relativity code.&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Quantum / Data (1.5/10):&amp;#039;&amp;#039;&amp;#039; Little quantum or data focus.&lt;br /&gt;
&lt;br /&gt;
== Integration Pipeline ==&lt;br /&gt;
# &amp;#039;&amp;#039;&amp;#039;Reduce&amp;#039;&amp;#039;&amp;#039; the container&amp;#039;s action-derived gravity to general relativity in the limit of interest.&lt;br /&gt;
# &amp;#039;&amp;#039;&amp;#039;Take&amp;#039;&amp;#039;&amp;#039; SpECTRE&amp;#039;s (and the [[The Principia Machina/Tools/EinsteinToolkit|Einstein Toolkit]]&amp;#039;s) solutions and waveforms as the trusted benchmark for that limit, compared only after the derivation (quarantine).&lt;br /&gt;
# &amp;#039;&amp;#039;&amp;#039;For a new theory&amp;#039;&amp;#039;&amp;#039;, a well-posed hyperbolic formulation must exist first, then be implemented in C++.&lt;br /&gt;
&lt;br /&gt;
== Status, Licence and Limits ==&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Status:&amp;#039;&amp;#039;&amp;#039; Very active, releases about monthly; the latest, v2026.09.05 of 6 September 2026, has a Zenodo DOI.&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Licence:&amp;#039;&amp;#039;&amp;#039; MIT.&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Home:&amp;#039;&amp;#039;&amp;#039; https://spectre-code.org&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Limits:&amp;#039;&amp;#039;&amp;#039; The Charm++ build and its high-performance computing needs are heavy. It consumes action-derived equations; it never produces them.&lt;br /&gt;
&lt;br /&gt;
== On the Principia Machina ==&lt;br /&gt;
A tool runs only where the sponsor installed and bound it, and what it returns is untrusted input, vetted before use; its numbers are never values of the site&amp;#039;s calculator, TPC. A value it computes lands as a RESULT with QUANTITY, VALUE, UNIT and AT, its initial and boundary values as SITUATION records; the regime of a numerical result, and whether such a value may be presented, are open questions of the specification. See [[The Principia Machina/Agent/Tools|Agent/Tools]] and [[The Principia Machina/Tools/Operator&amp;#039;s guide|the operator&amp;#039;s guide]].&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;[[The Principia Machina/Research Toolkit/Bibliography#SPECTRE2017|SPECTRE2017]]&amp;#039;&amp;#039;&amp;#039; &amp;amp;ndash; Kidder L.E., Field S.E., Foucart F., Schnetter E., Teukolsky S.A., Bohn A., Deppe N., Diener P., Hébert F., Lippuner J., Miller J., Ott C.D., Scheel M.A., Vincent T. (2017). SpECTRE: A task-based discontinuous Galerkin code for relativistic astrophysics. J. Comput. Phys. 335, 84–114. [https://doi.org/10.1016/j.jcp.2016.12.059 doi:10.1016/j.jcp.2016.12.059].&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;[[The Principia Machina/Research Toolkit/Bibliography#SPECTRE-SITE|SPECTRE-SITE]]&amp;#039;&amp;#039;&amp;#039; &amp;amp;ndash; SXS Collaboration / SpECTRE developers (2026). SpECTRE v2026.09.05. Zenodo. [https://doi.org/10.5281/zenodo.22433001 doi:10.5281/zenodo.22433001].&lt;br /&gt;
&lt;/div&gt;</summary>
		<author><name>DeltaS Zero</name></author>
	</entry>
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