update: auto commit

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2026-04-09 21:25:59 -04:00
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@@ -332,16 +332,7 @@
\end{frame}
\begin{frame}{Towards first order Z4c}{constraints during the reduction}
We have to check if the constraint damping term will change the hyperbolicity of the system. The new system has
\begin{equation}
\tensor{A}{^i^I_J} = \begin{pmatrix}
0 & 0 & 0 \\
0 & 0 & -\tensor{e}{_i} \\
-\gamma \tensor{e}{^i} & -\tensor{e}{^i} & 0
\end{pmatrix} \qc
S=-\gamma \mqty(0 \\ 0 \\ \myvec{\psi}),
\end{equation}
thus the principal symbol matrix is
We have to check if the constraint damping term will change the hyperbolicity of the system. The new principal symbol matrix is
\begin{equation}
\tensor{P}{^I_J}(\xi) = \begin{pmatrix}
0 & 0 & 0 \\