Operator splitting methods are widely used to reduce the (numerical) solution of a complex problem to the iterative solution of subproblems, into which the original problem is split. One notes that discrete gradient methods are implicit and limited to order two for non-vanishing r, whereas order one would have been sufficient for deriving an overall order two operator A dynamic iteration scheme for linear di erential-algebraic port-hamiltonian sys- tems based on lions-mercier-type operator splitting methods is developed.

We propose in this article a simple e cient operator-splitting method for computing e ective hamiltonians when the hamiltonian is either convex or nonconvex in the gradient variable. Operator splitting methods tailored to coupled linear port-hamiltonian systems are developed. We present algorithms that are able to exploit scalar coupling, as well as multirate potential of these Ò€¦ Operator splitting methods tailored to coupled linear port-hamiltonian systems are developed. We present algorithms that are able to exploit scalar coupling, as well as multirate potential of these Ò€¦

We present algorithms that are able to exploit scalar coupling, as well as multirate potential of these Ò€¦

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