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\@writefile{toc}{\contentsline {section}{\numberline {1}A surprisingly difficult ODE}{1}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {1}Forward Euler method for stiff equation.}{1}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {2}stiff\_prime.m evaluates the right hand side.}{2}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {3}stiff\_exact.m evaluates the exact solution.}{2}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {4}stiff\_euler\_test.m computes a forward Euler solution.}{2}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {5}Explicit Euler update step.}{3}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {6}Implicit Euler update step.}{3}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {7}stiff\_euler\_backward.m computes a backward Euler solution.}{4}}
\@writefile{toc}{\contentsline {section}{\numberline {2}The Midpoint Method}{4}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {8}stiff\_midpoint.m solves the stiff problem.}{5}}
\@writefile{toc}{\contentsline {section}{\numberline {3}Report: Convergence Comparison}{6}}