Minor latex fixes in step-67 and step-69

diff --git a/examples/step-67/step-67.cc b/examples/step-67/step-67.cc
index 85d96a9cf751c47b3ea3faac5a0aadfa18f82124..b7650612cac13ea4ef23a18cd055dd8c7513d630 100644 (file)
--- a/examples/step-67/step-67.cc
+++ b/examples/step-67/step-67.cc
@@ -1664,7 +1664,7 @@ namespace Euler_DG
   // information to cross a single cell. For information transported along with
   // the medium, $\mathbf u$ is scaled by the mesh size,
   // so an estimate of the maximal velocity can be obtained by computing
-  // $\|J^{-\mathrm T} \mathbf{u}\|_\inf$, where $J$ is the Jacobian of the
+  // $\|J^{-\mathrm T} \mathbf{u}\|_\infty$, where $J$ is the Jacobian of the
   // transformation from real to the reference domain. Note that
   // FEEvaluationBase::inverse_jacobian() returns the inverse and transpose
   // Jacobian, representing the metric term from real to reference

diff --git a/examples/step-69/doc/intro.dox b/examples/step-69/doc/intro.dox
index d2d5e44c034eecd65c947b14c538cd365f28e340..9e7dd4e361a554c4773ced62244da405b5e2bace 100644 (file)
--- a/examples/step-69/doc/intro.dox
+++ b/examples/step-69/doc/intro.dox
@@ -317,9 +317,9 @@ $t_n$:
 @f{align*}
 &\textbf{for } i \in \mathcal{V} \\
 &\ \ \ \  \{\mathbf{c}_{ij}\}_{j \in \mathcal{I}(i)} \leftarrow
-\texttt{gather_cij_vectors} (\textbf{c}, \mathcal{I}(i)) \\
+\texttt{gather\_cij\_vectors} (\textbf{c}, \mathcal{I}(i)) \\
 &\ \ \ \ \{\textbf{U}_j^n\}_{j \in \mathcal{I}(i)} \leftarrow
-\texttt{gather_state_vectors} (\textbf{U}^n, \mathcal{I}(i)) \\
+\texttt{gather\_state\_vectors} (\textbf{U}^n, \mathcal{I}(i)) \\
 &\ \ \ \ \ \textbf{U}_i^{n+1} \leftarrow \mathbf{U}_i^{n} \\
 &\ \ \ \ \textbf{for } j \in \mathcal{I}(i)\backslash\{i\} \\
 &\ \ \ \ \ \ \ \  \texttt{compute } d_{ij} \\
@@ -327,7 +327,7 @@ $t_n$:
 &\ \ \ \ \ \ \ \  \textbf{U}_i^{n+1} \leftarrow \textbf{U}_i^{n+1} - \frac{\tau_n}{m_i}
  \mathbb{f}(\mathbf{U}_j^{n})\cdot \mathbf{c}_{ij} + d_{ij} \mathbf{U}_j^{n} \\
 &\ \ \ \ \textbf{end} \\
-&\ \ \ \ \texttt{scatter_updated_state} (\textbf{U}_i^{n+1}) \\
+&\ \ \ \ \texttt{scatter\_updated\_state} (\textbf{U}_i^{n+1}) \\
 &\textbf{end}
 @f}
 
@@ -336,8 +336,8 @@ We note here that:
 - Here $\textbf{c}$ and $\textbf{U}^n$ are a global matrix and a global vector
 containing all the vectors $\mathbf{c}_{ij}$ and all the states
 $\mathbf{U}_j^n$ respectively.
-- $\texttt{gather_cij_vectors}$, $\texttt{gather_state_vectors}$, and
-$\texttt{scatter_updated_state}$ are hypothetical implementations that
+- $\texttt{gather\_cij\_vectors}$, $\texttt{gather\_state\_vectors}$, and
+$\texttt{scatter\_updated\_state}$ are hypothetical implementations that
 either collect (from) or write (into) global matrices and vectors.
 - If we assume a Cartesian mesh in two space
 dimensions, first-order polynomial space $\mathbb{Q}^1$, and that