Pydro offers a few different time steppers, including many strong-stability-preserving (SSP) time steppers. The linear Runge-Kutta (RK) time steppers, while simple, should be avoided since they can only achieve the promised order of accuracy for linear systems. The SSP RK3 and SSP RK4 are both robust choices for nonlinear hydrodynamics simulations. The SSP RK4 has a maximum step size roughly 50% larger than an Euler step and the SSP RK3, making it a more efficient method than the SSP RK3 There are also (mostly complete) Adams-Bashforth time steppers up to fourth order, which still require a self-starting procedure in order to truly reach the high-order accuracy.
.. automodule:: TimeStepper :members: