# Generalization of Euler's summation formula to path integrals ⋆

@article{Bogojevic2005GeneralizationOE, title={Generalization of Euler's summation formula to path integrals ⋆}, author={Aleksandar Bogojevic and Antun Balaz and Aleksandar Belic}, journal={Physics Letters A}, year={2005}, volume={344}, pages={84-90} }

Abstract A recently developed analytical method for systematic improvement of the convergence of path integrals is used to derive a generalization of Euler's summation formula for path integrals. The first p terms in this formula improve convergence of path integrals to the continuum limit from 1 / N to 1 / N p , where N is the coarseness of the discretization. Monte Carlo simulations performed on several different models show that the analytically derived speedup holds.

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