3 papers
math.NA2026
Fourth-Order Energy-Consistent Average Vector Field Discrete Gradient Methods for Dissipative Hamiltonian Systems
Lucas Lautwein, Nicole Marheineke, Håkon Noren Myhr +1
Discrete gradient methods provide a structure-preserving approach to energy-consistent time integration of dissipative Hamiltonian systems. In their conventional formulation, howev…
math.NA2026
Energy-Consistent Splitting and Decomposition Approaches for Coupled port-Hamiltonian ODEs
Marius Mönch, Nicole Marheineke, Andreas Bartel +2
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…
math.NA2025
Energy-preserving iteration schemes for Gauss collocation integrators
Stefan Maier, Nicole Marheineke, Andreas Frommer
In this work, we develop energy-preserving iterative schemes for the (non-)linear systems arising in the Gauss integration of Poisson systems with quadratic Hamiltonian. Exploiting…