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math.NA2026
Efficient higher-order local time integration for Friedrichs' systems
Marlis Hochbruck, Jonas Köhler, Malik Scheifinger
In this paper, we construct an efficient higher-order local time integration scheme for spatially discretized linear Friedrichs' systems. In particular, our interest is in problems…
math.NA2025
Time-integration of Gaussian variational approximation for the magnetic Schrödinger equation
Malik Scheifinger, Kurt Busch, Marlis Hochbruck +1
In the present paper we consider the semiclassical magnetic Schrödinger equation, which describes the dynamics of charged particles under the influence of a electro-magnetic field.…
math.NA2025
Local time-integration for Friedrichs' systems
Marlis Hochbruck, Malik Scheifinger
In this paper, we address the full discretization of Friedrichs' systems with a two-field structure, such as Maxwell's equations or the acoustic wave equation in div-grad form, cf.…