update: auto commit

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2026-04-10 02:33:08 -04:00
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In short, we are looking for a series of hyprbolicity-preserving modifications to FOCCZ4, to get a first order reduction of Z4c with constraint damping. This is working in progress. In short, we are looking for a series of hyprbolicity-preserving modifications to FOCCZ4, to get a first order reduction of Z4c with constraint damping. This is working in progress.
\end{frame} \end{frame}
\begin{frame}{Searching for a first order Z4c}{Current status}
\begin{itemize}
\item What we have:
\begin{itemize}
\item A mathematica note book that takes readable tensor equations as input, and automatically computes the principal symbol matrix
\end{itemize}
\item What we are doing:
\begin{itemize}
\item In a loop of modifying the evolution equations, look at the principle symbol, checking the hyperbolicity, and modifying again.
\end{itemize}
\item What's hard:
\begin{itemize}
\item The principle symbol matrix is large, and it's hard to evaluate if it's diagonalizable or not.
\end{itemize}
\item What's the best we have:
\begin{itemize}
\item A weakly hyperbolic system.
\end{itemize}
\end{itemize}
\end{frame}
\begin{frame}{References} \begin{frame}{References}
\printbibliography \printbibliography
\end{frame} \end{frame}