\relax \providecommand\tcolorbox@label[2]{} \@writefile{toc}{\contentsline {section}{\numberline {1}Adapting your stepsize}{1}} \@writefile{toc}{\contentsline {section}{\numberline {2}{\it {adapt0.m}} is a framework for an adaptive stepsize code}{2}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {1}A MATLAB while statement}{2}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {2}adapt0.m source code.}{2}} \@writefile{toc}{\contentsline {section}{\numberline {3}{\it {adapt1.m}} reduces the stepsize after big errors}{3}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {3}adapt1.m source code.}{3}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {4}Plotting the stepsizes.}{4}} \@writefile{toc}{\contentsline {section}{\numberline {4}{\it {adapt2.m}} also doubles the stepsize after tiny errors}{5}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {5}Portion of adapt2.m that includes step doubling.}{5}} \@writefile{toc}{\contentsline {section}{\numberline {5}{\it {adapt3.m}} does a careful stepsize adjustment}{6}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {6}The stepsize formula in adapt3.m}{7}} \@writefile{toc}{\contentsline {section}{\numberline {6}Things to worry about}{8}} \@writefile{toc}{\contentsline {section}{\numberline {7}The STIFF ODE defines a difficult problem.}{9}} \@writefile{toc}{\contentsline {section}{\numberline {8} Homework \#6}{9}}