Time discretization of port-Hamiltonian differential-algebraic equations

Abstract: In this talk we address the time discretization of port-Hamiltonian (pH) differential-algebraic equations (DAE). This combines the challenges of discretizing a DAE consistently, and preserving the pH properties, two tasks which are nontrivial to fulfill at the same time. In particular, we will discuss the application of Runge-Kutta methods, among which collocation methods are treated as a special case, discrete gradient methods, and partitioned methods, with a particular focus on semi-explicit pHDAEs. This talk includes joint work with Philipp Kinon, Volker Mehrmann, and Philipp Schulze.

mathematical physicsanalysis of PDEsdifferential geometrydynamical systemsfunctional analysisnumerical analysisoptimization and controlspectral theory

Audience: researchers in the discipline

Port-Hamiltonian Seminar

Series comments: Slides and recordings can be found here: uni-wuppertal.sciebo.de/s/CQfBsXr9iOI17ZY