Integrators on homogeneous spaces
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".
Click on the following pictures to get an explanation in the corresponding Notebook.
Integration on a Stiefel manifold:
Quadrature on a sphere:
Quadrature on the group SO(3):
Continuous QR flow, converging towards a diagonal matrix: