Title: Numerical experiences with Taylor methods Author: C. Sim\'o Dept. de Matem\`atica Aplicada i An\`alisi, Univ. de Barcelona, Gran Via 585, 08007 Barcelonar, Spain. E-mail: carles@maia.ub.es Talk given at the Geometric Integration Conference Universitat Jaume I, Castell\'o, 0609220930