University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Some recent results on the Kahan-Hirota-Kimura discretization

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹ️ Information

Some recent results on the Kahan-Hirota-Kimura discretization

Download to your calendar using vCal

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:

Note that ex-directory lists are not shown.

Other lists

Alison Richard Building, Seminar Room SG1 Reception Room, Warburton Hall Room 911, Cavendish Laboratory

Other talks

Organiser Welcome  Life, death, and the discovery of PDAR: the Pol II Degradation-dependent Apoptotic Response  The Importance of Teaching about Science and Religion in a Time of Global Uncertainty Title TBC Morning Tea and Coffee Title to be confirmed
 

© 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity