Better integrators for functional renormalization group calculations

Abstract We analyze a variety of integration schemes for the momentum space functional renormalization group calculation with goal finding an optimized scheme. Using square lattice $$t-t'$$ t - ′ Hubbard model as testbed we define and benchmark quality. Most notably error estimate solution ordinary differential equation circumventing issues introduced by divergences at end FRG flow. this measure to control accuracy find threefold reduction in number required steps achievable choice integrator. herewith publish set recommended choices group, shown decrease computational cost calculations representing valuable basis further investigations. Graphic abstract