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Minorcorrections #18

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2 changes: 1 addition & 1 deletion advection/advection-higherorder.tex
Original file line number Diff line number Diff line change
Expand Up @@ -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}
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2 changes: 1 addition & 1 deletion higher-order/higher-order-burgers.tex
Original file line number Diff line number Diff line change
Expand Up @@ -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
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