Author

Nicole Marheineke

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Preprint Sep 2026

Energy-Consistent Splitting and Decomposition Approaches for Coupled port-Hamiltonian ODEs

Operator splitting provides an attractive approach for the numerical integration of (coupled) port-Hamiltonian systems, as it allows the underlying system structure to be exploited at the level of the individual subproblems. However, the choice of the decomposition is not unique and may strongly affect both the computa...

Marius Mönch, Nicole Marheineke, Andreas Bartel et al. · 1 citation

Preprint Sep 2026

Fourth-Order Energy-Consistent Average Vector Field Discrete Gradient Methods for Dissipative Hamiltonian Systems

Discrete gradient methods provide a structure-preserving approach to energy-consistent time integration of dissipative Hamiltonian systems. In their conventional formulation, however, they generally attain at most second-order convergence. Extending the perturbation principle previously developed for Poisson systems to...

Lucas Lautwein, Nicole Marheineke, Håkon Noren Myhr et al. · 0 citations