\BOOKMARK [1][-]{section.1}{Euler's method and beyond}{}% 1 \BOOKMARK [2][-]{section*.2}{1.1}{section.1}% 2 \BOOKMARK [2][-]{section*.3}{1.5}{section.1}% 3 \BOOKMARK [2][-]{section*.4}{1.6}{section.1}% 4 \BOOKMARK [2][-]{section*.5}{1.8}{section.1}% 5 \BOOKMARK [2][-]{section*.6}{1.9}{section.1}% 6 \BOOKMARK [2][-]{section*.7}{1.18}{section.1}% 7 \BOOKMARK [2][-]{section*.8}{1.20}{section.1}% 8 \BOOKMARK [2][-]{section*.9}{1.21}{section.1}% 9 \BOOKMARK [2][-]{section*.10}{1.25}{section.1}% 10 \BOOKMARK [2][-]{subsection.1.1}{An exploration of the linear case}{section.1}% 11 \BOOKMARK [2][-]{section*.11}{1.26}{section.1}% 12 \BOOKMARK [2][-]{section*.12}{1.27}{section.1}% 13 \BOOKMARK [2][-]{section*.13}{1.28}{section.1}% 14 \BOOKMARK [2][-]{section*.14}{1.29}{section.1}% 15 \BOOKMARK [2][-]{section*.15}{1.30}{section.1}% 16 \BOOKMARK [2][-]{section*.16}{1.33}{section.1}% 17 \BOOKMARK [1][-]{section.2}{Multistep methods}{}% 18 \BOOKMARK [2][-]{section*.17}{2.1}{section.2}% 19 \BOOKMARK [2][-]{section*.18}{2.6}{section.2}% 20 \BOOKMARK [2][-]{section*.19}{2.8}{section.2}% 21 \BOOKMARK [1][-]{section.3}{Runge-Kutta methods}{}% 22 \BOOKMARK [1][-]{section.4}{Stiff equations}{}% 23 \BOOKMARK [2][-]{section*.20}{4.1}{section.4}% 24 \BOOKMARK [2][-]{section*.21}{4.6}{section.4}% 25 \BOOKMARK [1][-]{section.5}{Geometric numerical integration}{}% 26 \BOOKMARK [1][-]{section.6}{Error control}{}% 27 \BOOKMARK [1][-]{section.7}{Nonlinear algebraic systems}{}% 28 \BOOKMARK [1][-]{section.8}{Finite difference schemes}{}% 29 \BOOKMARK [2][-]{section*.22}{8.1}{section.8}% 30