Year: 2024
Type: article
Abstract: The port‐Hamiltonian (pH) approach offers a modeling of dynamic systems with an energy‐conserving and a dissipative part. pH systems are passive. That means no energy can be generated within the system. A passive system cannot store more energy than it receives. The exact solution of the pH system hence fulfills the dissipation inequality. In this paper, we deal with operator splitting that considers the energy‐conserving and dissipative parts separately. We aim at high‐order splitting schemes that preserve the dissipation inequality. Fourth‐order methods for linear pH systems are derived and an extension to sixth‐order methods is discussed.
Source: PAMM
Authors: Marius Mönch, Nicole Marheineke
Institution: Universität Trier
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W4403171778