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Michael Melko, Assistant Professor of Mathematics
________________________________________________________________________

 

    Office: MJ 217
    Tel: 605-626-3298

Department of Mathematics
Northern State University
1200 South Jay Street
Aberdeen, SD  57401

Email:  mike.melko@northern.edu


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.

plovdivSlides-2007.pdf (13,052 KB)