5 citations · 5 across the 11 of their papers we have counts for
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Boris-type exponential integrators for charged-particle dynamics in strong magnetic fields
Marlis Hochbruck, Sebastian Merk
We study numerical time integration for the motion of a charged particle in a strong magnetic field, focusing on the regime in which the fast gyration is not resolved by the time s…
Finite element exponential integration for rough solutions of nonlinear wave equations. Part I: Dirichlet boundary conditions on polygonal and polyhedral domains
Jiachuan Cao, Benjamin Dörich, Marlis Hochbruck +1
We study a fully discrete scheme for nonlinear wave equations on general bounded polygonal/polyhedral domains with initial data , ,…
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…
A non-iterative domain decomposition time integrator combined with discontinuous Galerkin space discretizations for acoustic wave equations
Tim Buchholz, Marlis Hochbruck
We propose a novel non-iterative domain decomposition time integrator for acoustic wave equations using a discontinuous Galerkin discretization in space. It is based on a local Cra…
A non-iterative domain decomposition time integrator for linear wave equations
Tim Buchholz, Marlis Hochbruck
We propose and analyze a non-iterative domain decomposition integrator for the linear acoustic wave equation. The core idea is to combine an implicit Crank-Nicolson step on spatial…
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.…
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.…
Error analysis of DGTD for linear Maxwell equations with inhomogeneous interface conditions
Benjamin Dörich, Julian Dörner, Marlis Hochbruck
In the present paper we consider linear and isotropic Maxwell equations with inhomogeneous interface conditions. We discretize the problem with the discontinuous Galerkin method in…
Error analysis of an implicit-explicit time discretization scheme for semilinear wave equations with application to multiscale problems
Daniel Eckhardt, Marlis Hochbruck, Barbara Verfürth
We present an implicit-explicit (IMEX) scheme for semilinear wave equations with strong damping. By treating the nonlinear, nonstiff term explicitly and the linear, stiff part impl…
Variational Gaussian approximation for the magnetic Schrödinger equation
Selina Burkhard, Benjamin Dörich, Marlis Hochbruck +1
In the present paper we consider the semiclassical magnetic Schrödinger equation, which describes the dynamics of particles under the influence of a magnetic field. The solution of…
On the convergence of Lawson methods for semilinear stiff problems
Marlis Hochbruck, Alexander Ostermann
Since their introduction in 1967, Lawson methods have achieved constant interest in the time discretization of evolution equations. The methods were originally devised for the nume…