2022
. On dynamical low-rank integrators for matrix differential equations. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2022.
2021
. On leapfrog-Chebyshev schemes for second-order diffferential equations. PhD thesis, Karlsruhe Institute of Technology, December 2021.
. Error analysis of exponential integrators for nonlinear wave-type equations. PhD thesis, Karlsruhe Institute of Technology (KIT), February 2021.
. A unified error analysis for the numerical solution of nonlinear wave-type equations with application to kinetic boundary conditions. PhD thesis, Karlsruhe Institute of Technology (KIT), February 2021.
2020
. Error analysis for space and time discretizations of quasilinear wave-type equations. Dissertation, Karlsruhe Institute of Technology (KIT), May 2020.
2018
. The Peaceman–Rachford ADI-dG method for linear wave-type problems. Dissertation, Karlsruhe Institute of Technology (KIT), September 2018.
. Fehleranalyse von auf trigonometrischen Integratoren basierenden Splittingverfahren für hochoszillatorische, semilineare Probleme. Dissertation, Karlsruhe Institute of Technology (KIT), November 2018.
2017
. A unified error analysis for spatial discretizations of wave-type equations with applications to dynamic boundary conditions. Dissertation, Karlsruhe Institute of Technology (KIT), June 2017.
. Locally implicit time integration for linear Maxwell's equations. Dissertation, Karlsruhe Institute of Technology (KIT), April 2017.
2014
. Eine flexible Klasse von local time stepping Verfahren. Dissertation, Karlsruhe Institute of Technology (KIT), April 2014.
. Rational Krylov Subspace Methods for phi-Functions in Exponential Integrators. Dissertation, Karlsruhe Institute of Technology (KIT), July 2014.
2013
. Error analysis of implicit and exponential time integration of linear Maxwell's equations. Dissertation, Karlsruhe Institute of Technology (KIT), December 2013.
. Finite Element Heterogeneous Multiscale Methods for the Wave Equation. Dissertation, University of Basel, July 2013.
. Positivity Preservation in the Simulation of Relativistic Laser-Plasma Interaction. Dissertation, Karlsruhe Institute of Technology (KIT), July 2013.
2012
. Methoden zur Lösungsverifikation und Einschließungsverfahren für gemischte Komplementaritätsprobleme. Dissertation, Karlsruhe Institute of Technology (KIT), July 2012.
2009
. Numerical Methods for Eigenvalue Problems in the Description of Drift Instabilities in the Plasma Edge. Dissertation, Heinrich-Heine Universität Düsseldorf, March 2009. [preprint]
2008
. Numerical Simulation of Relativistic Laser-Plasma Interaction. Dissertation, Heinrich-Heine Universität Düsseldorf, July 2008. [preprint]
2002
. Exponentielle Integratoren als Lange-Zeitschritt-Verfahren für oszillatorische Differentialgleichungen zweiter Ordnung. Dissertation, Heinrich-Heine Universität Düsseldorf, July 2002. [preprint]
1993
. Ein Einschließungsverfahren für das inverse Dirichletproblem. Dissertation, Universität Karlsruhe, June 1993.