Operator splitting for infinite-dimensional port-Hamiltonian systems (A05)

• Subject Area: Mathematics
• Term: since 2025
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 531152215

Splitting methods for infinite-dimensional port-Hamiltonian systems are developed and their convergence properties are investigated. Here, the potential of splitting port-Hamiltonian systems into simpler port-Hamiltonian subsystems is exploited while the port-Hamiltonian structure is preserved. This project thus forms a solid analytical basis for numerical methods, paves the way for applications, and also establishes the (unique) solvability of the systems under consideration. One application focus is on port-Hamiltonian differential equations with delay.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1701: Port-Hamiltonian Systems
• Applicant Institution: Bergische Universität Wuppertal
• Project Heads: Professor Dr. Balint Farkas; Professorin Dr. Birgit Jacob