| We give an overview of a recently developed method which systematically improves the convergence of generic path integrals for transition amplitudes, partition functions, expectation values and energy spectra. This was achieved by analytically constructing a hierarchy of discretized effective actions indexed by a natural number p and converging to the continuum limit as 1/N^p. We analyze and compare the ensuing increase in efficiency of several orders of magnitude, and perform series of Monte Carlo simulations to verify the results. |
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