The paper “Runge-Kutta time semidiscretizatinos of semilinear PDEs with non-smooth data” co-authored by Claudia Wulff and Chris Evans (former Surrey student) has been published in Numerische Mathematik.  It is published gold open access and the link is here.  The paper considers abstract semillinear evolution equations in a Hilbert space, discretized by an A-stable Runge-Kutta method in time, retaining continuum in space, and prove convergence for non-smooth initial data. Numerical experiments suggest that the estimates in the proof are sharp.