3 papers
math.AP2026
Kreiss stability analysis of Hagstrom-Warburton nonreflecting boundary conditions for the first-order time-dependent Maxwell equations
Kaifang Liu, Matthias Schlottbom, J. J. W. van der Vegt +1
We analyze the stability of the Hagstrom-Warburton nonreflecting boundary conditions (HW-NRBCs) for the first-order time-dependent Maxwell equations. The HW-NRBCs enjoy very small…
math.NA2025
Analysis and systematic discretization of a Fokker-Planck equation with Lorentz force
Vincent Bosboom, Herbert Egger, Matthias Schlottbom
The propagation of charged particles through a scattering medium in the presence of a magnetic field can be described by a Fokker-Planck equation with Lorentz force. This model is…
math-ph2024
A metriplectic formulation of polarized radiative transfer
Vincent Bosboom, Michael Kraus, Matthias Schlottbom
We present a metriplectic formulation of the radiative transfer equation with polarization and varying refractive index and show that this formulation automatically satisfies the f…