Project Details
Geometric numerical integration for port-Hamiltonian systems (B02)
Subject Area
Mathematics
Term
since 2025
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 531152215
With regard to ports, dissipation, and non-linear parametrizations, we develop new time integration schemes for port Hamiltonian systems of ordinary differential equations and differential-algebraic equations. The goal is to overcome existing, drastic restrictions concerning the order and thus the efficiency. The schemes are based on variants of operator splitting, which extend and generalize concepts of forced gradients, Cayley transforms and multi-rate approaches. Moreover, we consider and investigate Galerkin and discrete gradient methods particularly tailored to the port-Hamiltonian structure.
DFG Programme
Collaborative Research Centres
Subproject of
SFB 1701:
Port-Hamiltonian Systems
Applicant Institution
Bergische Universität Wuppertal
Project Heads
Professor Dr. Michael Günther; Professorin Dr. Nicole Marheineke