We establish general product formulas for the solutions of non-autonomous abstract Cauchy
problems. The main technical tools are evolution semigroups allowing the direct application …

We consider a Trotter-type-product formula for approximating the solution of a linear abstract
Cauchy problem (given by a strongly continuous semigroup), where the underlying Banach …

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 …

We compare the stability preserving properties of the Lie–Trotter, Strang–Marchuk, and
symmetrically weighted sequential splitting schemes for a simple 2-dimensional linear …

We provide a general product formula for the solution of nonautonomous abstract delay
equations. After having shown the convergence we obtain estimates on the order of …

In this paper, a new splitting method, called canonical Euler splitting method (CES), is
constructed and studied, which can be used for the efficient numerical solution of general …

In this work we study operator splitting methods for a certain class of coupled abstract
Cauchy problems, where the coupling is such that one of the problems prescribes a" …

Operator Splitting with Spatial-temporal Discretization Page 1 Operator Theory: c⃝ 2012
Springer Basel Operator Splitting with Spatial-temporal Discretization András Bátkai, Petra …

Abstract We investigate Lie–Trotter product formulae for abstract nonlinear evolution
equations with delay. Using results from the theory of nonlinear contraction semigroups in …

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 …