\documentclass[11pt]{article}

\usepackage{amsmath,amssymb}

\usepackage[letterpaper, margin=1in]{geometry}

\usepackage[final]{graphicx}


\begin{document}

\title{Your Title Here}

\author{Your Name}

\date{Date}

\maketitle

\section{Introduction}  PUT CONTENT HERE; PERHAPS CITE SOMETHING \cite{einstein}

%\begin{figure}
%\includegraphics[width=0.5\textwidth]{foo.png}  % put image "foo.png" in current directory
%\caption{CAPTION TEXT HERE}
%\end{figure}

\section{Continuum Model [or Continuum Problem]}  PUT CONTENT HERE; PERHAPS CITE SOMETHING \cite{ockendonetal}

\section{Numerical Scheme(s)}  PUT CONTENT HERE; PERHAPS CITE SOMETHING \cite{leveque}

\bigskip
\hrule
\begin{verbatim}
% MYCODE  This is my matlab implementation
x = 1:10;
y = randn(size(x));
plot(x,y)
z = 2+2
\end{verbatim}
\hrule
\bigskip

MORE CONTENT

\bigskip
\hrule
\begin{verbatim}
>> mycode             % here I am running the code
z = 4
\end{verbatim}
\hrule

\section{Analysis}  PUT CONTENT HERE

\section{Results}  PUT CONTENT HERE

\begin{thebibliography}{2}  % "2" because there are two references

\bibitem{bueler}
E.~Bueler (2021).
\textit{PETSc for Partial Differential Equations: Numerical Solutions in C and Python},
SIAM Press.

\bibitem{einstein} 
A.~Einstein (1905). 
\textit{Zur Elektrodynamik bewegter K{\"o}rper},
Annalen der Physik, 322 (10), 891--921.

\bibitem{leveque}
R.~LeVeque (2007).
\textit{Finite Difference Methods for Ordinary and Partial Differential Equations},
SIAM Press.

\bibitem{ockendonetal}
J.~Ockendon, S.~Howison, A.~Lacey, \& A.~Movchan (2003).
\textit{Applied Partial Differential Equations},
Revised ed., Oxford University Press.

\end{thebibliography}

\appendix
\section{Something suitable for an appendix}  PUT CONTENT HERE

\end{document}
