Speaker
Description
In this talk, we discuss high-order commutator-based splitting methods for port-Hamiltonian systems, with a focus on preserving their intrinsic structure, in particular the dissipation inequality. Port-Hamiltonian systems provide a natural framework for modeling energy-conserving and dissipative processes, which is crucial for the accurate simulation of many physical systems. For port-Hamiltonian ordinary differential equations, we introduce an energy-associated decomposition that exploits the system’s energy properties. In addition, we present a port-based splitting as well as subsystem-tailored decompositions that reduce the effective dimension and thereby improve computational efficiency. We also address challenges arising from nonlinear dynamics and discuss possible extensions to systems with algebraic constraints, including coupled systems. The proposed approaches are validated through theoretical analysis and numerical experiments.