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math.NA2024
Energy-consistent Petrov-Galerkin time discretization of port-Hamiltonian systems
Jan Giesselmann, Attila Karsai, Tabea Tscherpel
For a general class of nonlinear port-Hamiltonian systems we develop a high-order time discretization scheme with certain structure preservation properties. The finite or infinite-…
math.NA2024
A priori error estimates of Runge-Kutta discontinuous Galerkin schemes to smooth solutions of fractional conservation laws
Fabio Leotta, Jan Giesselmann
We give a priori error estimates of second order in time fully explicit Runge-Kutta discontinuous Galerkin schemes using upwind fluxes to smooth solutions of scalar fractional cons…