FAAug 27, 2012
Stability and Convergence of Product Formulas for Operator MatricesAndrás Bátkai, Petra Csomós, Klaus-Jochen Engel et al.
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.