\relax \providecommand\tcolorbox@label[2]{} \@writefile{toc}{\contentsline {section}{\numberline {1}A model of passive transport}{1}} \@writefile{toc}{\contentsline {section}{\numberline {2}A simple solution for a constant velocity field}{2}} \@writefile{toc}{\contentsline {section}{\numberline {3}The constant velocity, finite interval, periodic case}{2}} \@writefile{toc}{\contentsline {section}{\numberline {4}Exercise \#1: Display the smooth and bumpy solutions}{3}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {1}Suggested enhanced plotting commands.}{3}} \@writefile{toc}{\contentsline {section}{\numberline {5}The FTCS method}{3}} \@writefile{toc}{\contentsline {section}{\numberline {6}Outline of an FTCS advection solver}{4}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {2}Useful index arrays for advection.}{5}} \@writefile{toc}{\contentsline {section}{\numberline {7}Exercise \#2: Write an FTCS advection solver}{5}} \@writefile{toc}{\contentsline {section}{\numberline {8}The upwind method}{5}} \@writefile{toc}{\contentsline {section}{\numberline {9}Exercise \#3: Write an upwind advection solver}{6}} \@writefile{toc}{\contentsline {section}{\numberline {10}The Lax-Friedrichs method}{6}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {3}Lax Friedrichs formula.}{6}} \@writefile{toc}{\contentsline {section}{\numberline {11}Exercise \#4: Write a Lax-Friedrichs advection solver}{6}} \@writefile{toc}{\contentsline {section}{\numberline {12}The Lax-Wendroff method}{6}} \@writefile{toc}{\contentsline {section}{\numberline {13}Homework: Write a Lax-Wendroff advection solver}{7}}