Some recent results on the Kahan-Hirota-Kimura discretization

Add to your list(s) Download to your calendar using vCal

• Quipsel, R (La Trobe University)
• Friday 12 July 2013, 14:30-15:00
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact Mustapha Amrani.

Discrete Integrable Systems

We show that Kahan’s discretization of quadratic vector fields is equivalent to a Runge- Kutta method. In case the vector field is Hamiltonian, with constant Poisson structure, the map determined by this discretization preserves a (modified) integral and a (modified) invariant measure. This produces large classes of integrable rational mappings, explaining some of the integrable cases that were previously known, as well as yielding many new ones.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

• All CMS events
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 1, Newton Institute
• bld31

Note that ex-directory lists are not shown.