2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226589We present two improvements to our previous dynamical overlap HMC algorithm. We introduce a new method of differentiating the eigenvectors of the Kernel operator, which removes an instability in the fermionic force. Secondly, by simulating part of the fermion determinant exactly, without pseudo-fermions, we are able to increase the rate of topological tunnelling by a factor of more than ten, reducing the auto-correlation.7 pages, contribution to lattice 2007 (algorithms)High Energy Physics - Latticetext