Stability and Convergence of Product Formulas for Operator Matrices
  We present easy to verify conditions implying stability estimates for operator matrix splittings which ensure convergence of the associated Trotter, Strang and weighted product formulas. The results are applied to inhomogeneous abstract Cauchy problems and to boundary feedback systems. 
Andr\'as B\'atkai, Petra Csom\'os, Klaus-Jochen Engel, B\'alint Farkas
math.FA math.NA