\BOOKMARK [1][-]{section.1}{Introduction}{}% 1
\BOOKMARK [1][-]{section.2}{Some basic background material}{}% 2
\BOOKMARK [1][-]{section.3}{Approximating differential equations on manifolds}{}% 3
\BOOKMARK [2][-]{subsection.3.1}{A first attempt at a numerical approximation}{section.3}% 4
\BOOKMARK [2][-]{subsection.3.2}{Approximating the exponential map}{section.3}% 5