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## Main Question or Discussion Point

From the Theory of Open Quantum Systems; the Euler scheme is given by:

##\psi_{k+1} = \psi_{k} + D_1(\psi_k)\Delta t + D_2(\psi_k) \Delta W_k##

and is a scheme of order 1. What does the order of convergence mean? From my understanding higher order schemes require fewer interations to give a decent approximation. Is there anything more than that?

##\psi_{k+1} = \psi_{k} + D_1(\psi_k)\Delta t + D_2(\psi_k) \Delta W_k##

and is a scheme of order 1. What does the order of convergence mean? From my understanding higher order schemes require fewer interations to give a decent approximation. Is there anything more than that?

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