Stability in linear abstract differential equations -- Parallelism across the steps for difference and differential equations -- On the spectrum of families of matrices with applications to stability problems -- DAEs: ODEs with constraints and invariants -- A comparative study of Chebyshev acceleration and residue smoothing in the solution of nonlinear elliptic difference equations -- A note on Picard-Lindelรถf iteration -- Aspects of parallel Runge-Kutta methods -- Tolerance proportionality in ODE codes