Discrete Geometric Mechanics for Variational Time Integrators Geometric, Variational Integrators for Computer Animation Ari Stern L. Kharevych Weiwei Y. Tong E. Kanso J. E. Marsden P. Schröder M. Desbrun Mathieu Desbrun
Time Integration • Interested in Dynamic Systems • Analytical solutions usually difficult or impossible • Need numerical methods to compute time progression
Local vs. Global Accuracy • Local accuracy (in scientific applications) • In CG, we care more for qualitative behavior • Global behavior > Local behavior for our purposes • A geometric approach can guarantee both