4 citations · 8 across the 6 of their papers we have counts for
5 papers · 1 filter
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…
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…
Operator splitting for coupled linear port-Hamiltonian systems
Jan Lorenz, Tom Zwerschke, Michael Günther +1
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 p…
Hessian-free force-gradient integrators
Kevin Schäfers, Jacob Finkenrath, Michael Günther +1
We propose a new framework of Hessian-free force-gradient integrators that do not require the analytical expression of the force-gradient term based on the Hessian of the potential…
Spline-oriented inter/extrapolation-based multirate schemes of higher order
Kevin Schäfers, Andreas Bartel, Michael Günther +1
Multirate integration uses different time step sizes for different components of the solution based on the respective transient behavior. For inter/extrapolation-based multirate sc…