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We present a computationally efficient strategy that allows to simulate magnetization switching driven by spin-transfer torque in magnetic tunnel junctions within a micromagnetic model coupled with a matrix-based non-equilibrium Green’s function algorithm. Exemplary simulation for a realistic set of parameters are carried out and show switching times below 4 ns for voltages above 300 mV or around 2*10^{10} A m^{-2} for the P to AP (parallel to anti-parallel) direction. For AP to P switching, a trend-reversal in the switching time is seen i.e. the time for magnetization reversal first decreases with increasing bias voltage but then starts to rise again.

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