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