OPERATOR SPLITTINGS AND SPATIAL APPROXIMATIONS FOR EVOLUTION EQUATIONS
András Bátkai, Petra Csomós, Gregor Nickel, To Rainer Nagel, Our Teacher · 2012
Abstract. The convergence of various operator splitting procedures, such as the sequential, the Strang and the weighted splitting, is investigated in the presence of a spatial approximation. To this end a variant of Chernoff’s product formula is proved. The methods are applied to abstract partial delay differential equations. 1.