diff --git a/advection/advection-higherorder.tex b/advection/advection-higherorder.tex
index 5b55fc0..da810fd 100644
--- a/advection/advection-higherorder.tex
+++ b/advection/advection-higherorder.tex
@@ -1087,7 +1087,7 @@ \subsection{Finite differences}
   - \frac{1}{\Delta x} \left \{ \Fb_{i+\myhalf} -
                                 \Fb_{i-\myhalf} \right \}.
 \end{equation}
-In the finite difference method a interpretation used is different. We are now
+In the finite difference method the interpretation used is different. We are now
 thinking of
 \begin{equation}
   \label{eq:fd-deriv}
diff --git a/higher-order/higher-order-burgers.tex b/higher-order/higher-order-burgers.tex
index 4ee44ed..4be1f70 100644
--- a/higher-order/higher-order-burgers.tex
+++ b/higher-order/higher-order-burgers.tex
@@ -9,7 +9,7 @@ \section{WENO methods, nonlinear equations, and flux-splitting}
   \label{eq:scalar_conslaw}
   u_t + f(u)_x = 0
 \end{equation}
-the WENO method introduced in section~\ref{sec:ho-intro} above does not work,
+the WENO method introduced in subsection~\ref{sec:WENO} above does not work,
 as we have assumed the characteristic
 information travels in one direction only. We have also reconstructed the
 variable $q$ and from that constructed the ``flux'' which we feed into the