Structure-preserving integrators in Poisson geometry

A geometric integrator is a numerical method that preserves the geometric properties of the flow of a differential equation. The rise of geometric integrators stems from the geometrization of mechanics and the development of numerical analysis. I will explain here their relevance within the framework of Poisson geometry, which accounts for a broad class of conservative mechanical systems. Throughout the presentation, examples will illustrate their qualitative properties, such as symmetry preservation or behavior in the vicinity of a singularity.

Date:  2024-01-15
Start Time:   14:30
Speaker:  Oscar Cosserat (Univ. Gottingen, Germany)
Institution:  University of Gottingen
Place:  Sala 5.5, DMUC
Research Groups: -Numerical Analysis and Optimization
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