3 papers
math.NA2022
Control of Parasitism in Variational Integrators for Degenerate Lagrangian Systems
Farrukh Shehzad, Yousaf Habib, Michael Kraus +1
This paper deals with the control of parasitism in variational integrators for degenerate Lagrangian systems by writing them as general linear methods. This enables us to calculate…
physics.plasm-ph2019
A discrete Nambu bracket for 2D extended Magnetohydrodynamics
D. A. Kaltsas, M. Kraus, G. N. Throumoulopoulos
In this note we propose a trilinear bracket formulation for the Hamiltonian extended Magnetohydrodynamics (XMHD) model with homogeneous mass density. The corresponding two-dimensio…
math.NA2019
Variational integrators for stochastic dissipative Hamiltonian systems
Michael Kraus, Tomasz M. Tyranowski
Variational integrators are derived for structure-preserving simulation of stochastic forced Hamiltonian systems. The derivation is based on a stochastic discrete Hamiltonian which…