update: auto commit

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2026-04-10 00:19:43 -04:00
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@@ -296,6 +296,7 @@
\end{frame} \end{frame}
\begin{frame}{Searching for a first order Z4c}{First order Z4c?} \begin{frame}{Searching for a first order Z4c}{First order Z4c?}
\subsection{First order Z4c?}
\begin{figure} \begin{figure}
\centering \centering
\begin{tikzpicture}[ \begin{tikzpicture}[
@@ -342,7 +343,27 @@
\end{tikzpicture} \end{tikzpicture}
\caption{Commenly used systems, and first order reductions.} \caption{Commenly used systems, and first order reductions.}
\end{figure} \end{figure}
\end{frame}
\begin{frame}{Searching for a first order Z4c}{Why not existing first order formulations}
\begin{itemize}
\item GH
\begin{itemize}
\item Not compatible with moving puncture mothod
\end{itemize}
\item FOCCZ4
\begin{itemize}
\item No constraint damping for new constraints introduced during the reduction
\end{itemize}
\item FOZ4
\begin{itemize}
\item It's almost a copy of FOCCZ4. No constraint damping for new constraints introduced during the reduction
\end{itemize}
\item FOBSSN
\begin{itemize}
\item Probably works; not well tested in the community; WIP in \texttt{nmesh}
\end{itemize}
\end{itemize}
\end{frame} \end{frame}
\begin{frame}{Searching for a first order Z4c}{Hyperbolicity of first order systems} \begin{frame}{Searching for a first order Z4c}{Hyperbolicity of first order systems}
@@ -457,28 +478,6 @@
and thus the system is still strongly hyperbolic, and well-posed in the $L^2$ sense. and thus the system is still strongly hyperbolic, and well-posed in the $L^2$ sense.
\end{frame} \end{frame}
\begin{frame}{Existing first order formulations}
\subsection{Existing first order formulations}
\begin{itemize}
\item GH
\begin{itemize}
\item Not compatible with moving puncture mothod
\end{itemize}
\item FOCCZ4
\begin{itemize}
\item No constraint damping
\end{itemize}
\item FOZ4
\begin{itemize}
\item No constraint damping
\end{itemize}
\item FOBSSN
\begin{itemize}
\item Probably works; not well tested in the community; WIP in \texttt{nmesh}
\end{itemize}
\end{itemize}
\end{frame}
\begin{frame}{References} \begin{frame}{References}
\printbibliography \printbibliography
\end{frame} \end{frame}