This is a proof-of-concept implementation of the general description of Runge–Kutta on homogeneous spaces, from the paper "Integrators on homogeneous spaces: Isotropy choice and connections".
- Clone this repo
- Install
uvif you haven't already. - Run
uv run --group example jupyter lab - Open the jupyter URL in a browser
- Navigate to the
examplesfolder and run theDemo.ipynb.
The following pictures are extracted from this Demo Notebook
Integration on a Stiefel manifold:
Quadrature on a sphere:
Quadrature on the group SO(3):
Continuous QR flow, converging towards a diagonal matrix:
