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update: auto commit

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Yingjie Wang
2026-04-10 02:00:21 -04:00
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@@ -822,15 +822,13 @@ $}
$} $}
\] \]
where $c_1$, $c_2$, $c_3$ and $c_4$ are positive constants that large enough (the lower bound can be calculated). Thus we have constraint damping. where $c_1$, $c_2$, $c_3$ and $c_4$ are positive constants that large enough (the lower bound can be calculated). Thus we have constraint damping.
\end{frame}
\vspace{0.2cm} \begin{frame}{Searching for a first order Z4c}{old workflow: by hand}
{\color{red} \textbf{Unfortunately, this naive system is not even weakly hyperbolic!}} {\color{red} \textbf{Unfortunately, this naive system is not even weakly hyperbolic!}}
\vspace{0.2cm} \vspace{0.2cm}
We have to add some constraint terms that equals to zero, while contributes to the principal symbol, until the principal symbol matrix is diagonalizable with real eigenvalues. We have to add some constraint terms that equals to zero, while contributes to the principal symbol, until the principal symbol matrix is diagonalizable with real eigenvalues.
\end{frame}
\begin{frame}{Searching for a first order Z4c}{old workflow: by hand}
Available terms to add: Available terms to add:
\begin{gather*} \begin{gather*}
\constraintA{_i} \qc \constraintB{^i_j} \qc \constraintC*{_i} \qc \constraintD*{_i_j_k},\\ \constraintA{_i} \qc \constraintB{^i_j} \qc \constraintC*{_i} \qc \constraintD*{_i_j_k},\\