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Yingjie Wang
2026-04-10 00:08:51 -04:00
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@@ -282,7 +282,7 @@
% \node[draw=none, above=1mm of gh, font=\scriptsize] {full first order};
\end{tikzpicture}
\caption{Blue: second order systems; Red: first order systems. Solid arrows: direct modifications; Dashed arrows: indirect relation. Bidirectional arrows: equivalence.}
\caption{Commenly used systems.\footnote{Blue: second order systems; Red: first order systems. Solid arrows: direct modifications; Dashed arrows: indirect relation. Bidirectional arrows: equivalence.}}
\end{figure}
\begin{itemize}
\item Z4 and GH evolve the physical metric, and thus not compatible with the moving puncture method.
@@ -294,6 +294,10 @@
\end{itemize}
\end{frame}
\begin{frame}{Searching for a first order Z4c}{Why Z4c?}
\end{frame}
\begin{frame}{Searching for a first order Z4c}{Hyperbolicity of first order systems}
\subsection{Hyperbolicity of first order systems}
Say we have a list of variables $u^I$, and a first order PDE system