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A class of algorithms in discrete space and continuous time for Brownianfirst passage time estimation is considered. A simple algorithm is derived thatyields exact mean first passage times (MFPT) for linear potentials in onedimension, regardless of the lattice spacing. When applied to nonlinearpotentials and/or higher spatial dimensions, numerical evidence suggests thatthis algorithm yields MFPT estimates that either outperform or rivalLangevin-based (discrete time, continuous space) estimates.

Algorithms for Brownian first passage time estimation