  In this master thesis we have compared different second order stabilized
explicit Runge-Kutta methods when applied to the incompressible Navier-Stokes
equations by means of a projection method and a differential algebraic
approach. We explored the stability and accuracy properties of the RKC, ROCK2
and PIROCK schemes when coupled with the projection and the differential
algebraic approach. PIROCK has shown unexpected instabilities, ROCK2 resulted
to be the most efficient and versatile Runge-Kutta method taken into account.
The differential algebraic approach sounds computationally costly but it
exhibits better accuracy and a larger stability region. These properties make
it more efficient than the projection method. The theory presented in the first
chapters is supported by numerical experiments.
