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Numerical simulations of stochastic differential equations
Authors:Ronald F. Fox
Affiliation:(1) School of Physics, Georgia Institute of Technology, 30332 Atlanta, Georgia
Abstract:A simple, very accurate algorithm for numerical simulation of stochastic differential equations is described. Its relationship to colored noise is elucidated and exhibited by explicit results. The especially delicate problem of mean first passage times is highlighted and highly accurate agreement between the numerical simulations and analytic results are shown.
Keywords:Numerical simulation  stochastic differential equations  colored noise  mean first passage times  bistability
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