Downloads:
1. This document is a beamer presentation to be given at the AMS spring sectional meeting at the University of Illinois at Champagne-Urbana.
visualizingSymplecticIntegrators-090325.pdf (linked to 47 MB avi file)
2. This document is a zip file of an interactive Mathematica notebook that explores various methods for numerically solving Hamiltonian systems. The focus is on a comparison of Taylor methods and symplectic integrators. These methods are applied to the simple ideal pendulum as a test case.
pendulumEquation-080902.nb.zip (17,707 KB)
3. This document is a PDF version of the Mathematica notebook described above. The exposition is the same, but the Mathematica input needed to generate the graphics and other output is not present.
pendulumEquation-080902.nb.pdf (8,053 KB)
4. This document is a PDF version of the (overhead projector) slides for a talk given in August 2007 at the Fourth International Conference of Applied Mathematics and Computing in Plovdiv, Bulgaria.