From 5a258890f00cb20385e74f33f17ee86dd4945c57 Mon Sep 17 00:00:00 2001 From: Alberto Botto Poala Date: Fri, 24 Jan 2025 10:12:28 +0100 Subject: [PATCH 1/2] fix typo in 5.5.2 article shuold be the, not a --- advection/advection-higherorder.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) 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} From 2ff7dfde6c9b0eb3dfe463878b4f4770de0342a4 Mon Sep 17 00:00:00 2001 From: Alberto Botto Poala Date: Fri, 24 Jan 2025 10:30:24 +0100 Subject: [PATCH 2/2] fixes reference in 6.4 to subsection 5.3.3 --- higher-order/higher-order-burgers.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) 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