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Three schemes, whose expressions are not too complex, are selected for thenumerical integration of a system of stochastic differential equations in theStratonovich interpretation: the integration methods of Heun, Milstein, andderivative-free Milstein. The strong (path-wise) convergence is studied foreach method by comparing the final points after integrating with $2^n$ and$2^{n-1}$ time steps. We also compare the time that the computer takes to carryout the integration with each scheme. Putting both things together, we concludethat, at least for our system, the Heun method is by far the best performingone.

A comparison of a few numerical schemes for the integration of stochastic differential equations in the Stratonovich interpretation