Before revision: In this work we present  multi-derivative  implicit-explicit (IMEX)  Runge--Kutta schemes. We derive their order conditions up to third order, and show that such methods can preserve positivity (and more generally strong stability) with a time-step restriction  independent of the stiff term , under mild assumptions on the operators.
After revision: In this work we present multi-derivative implicit-explicit (IMEX) Runge--Kutta schemes where the time-step restriction independent of the stiff term , under mild assumptions on the operators.