From 5e8a0f6f47bc685ba091ec8a664b32f4387b2247 Mon Sep 17 00:00:00 2001
From: Yingjie Wang <phywyj@gmail.com>
Date: Thu, 9 Apr 2026 16:33:02 -0400
Subject: [PATCH] update: auto commit

---
 report.tex | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/report.tex b/report.tex
index 0fa5003..9bd7821 100644
--- a/report.tex
+++ b/report.tex
@@ -238,7 +238,7 @@
     $\implies$ we need to find a first order, strongly hyperbolic formulation of Einstein's equations with constraint damping and compatible with the moving puncture gauge condition.
   \end{frame}
 
-  \begin{frame}{Towards first order Z4c}
+  \begin{frame}{Towards first order Z4c}{Hyperbolicity of first order systems}
     \section{Towards first order Z4c}
     \subsection{Hyperbolicity of first order systems}
     Say we have a list of variables $u^I$, and a first order PDE system