B02: Geometric numerical integration for port-Hamiltonian systems
Principal investigators:
Prof. Dr. Michael Günther; Prof. Dr. Nicole Marheineke
Project description:
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.
Researchers:
Publications of project B02:
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