The Yang-Mills equations generalize Maxwell's to nonabelian gauge groups, and a quantity analogous charge is locally conserved by the nonlinear time evolution. Christiansen Winther observed that, in case, Galerkin method with Lie algebra-valued finite element differential forms appears conserve globally but not locally, even weak sense. We introduce new hybridization of this method, give an alt...

Stochastic hybrid systems involve the coupling between discrete and continuous stochastic processes. They are finding increasing applications in cell biology, ranging from modeling promoter noise gene networks to analyzing effects of stochastically-gated ion channels on voltage fluctuations single neurons neural networks. We have previously derived a path integral representation solutions assoc...