  Operator splitting methods allow to split the operator describing a complex
dynamical system into a sequence of simpler subsystems and treat each part
independently. In the modeling of dynamical problems, systems of (possibly
coupled) differential-algebraic equations (DAEs) arise. This motivates the
application of operator splittings which are aware of the various structural
forms of DAEs. Here, we present an approach for the splitting of coupled
index-1 DAE as well as for the splitting of port-Hamiltonian DAEs, taking
advantage of the energy-conservative and energy-dissipative parts. We provide
numerical examples illustrating our second-order convergence results.
