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\item Damps only 2 out of 3 new constraints. Probably works; not well tested in the community; WIP in \texttt{nmesh}
\end{itemize}
\end{itemize}
Since Z4c works well, we expect that a first order reduction of Z4c with proper constraint damping will also work well, and thus we want to find such a formulation.
\end{frame}
\begin{frame}{Searching for a first order Z4c}{Hyperbolicity of first order systems}
\begin{frame}{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
\begin{equation}