Theses

2023

• T. Kliesch. Semi-analytical integration in molecular dynamics. PhD thesis, Karlsruhe Institute of Technology (KIT), September 2023. [bibtex]

2022

• S. Schrammer. On dynamical low-rank integrators for matrix differential equations. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2022. [bibtex]

2021

• C. Carle. On leapfrog-Chebyshev schemes for second-order diffferential equations. PhD thesis, Karlsruhe Institute of Technology, December 2021. [bibtex]

• B. Dörich. Error analysis of exponential integrators for nonlinear wave-type equations. PhD thesis, Karlsruhe Institute of Technology (KIT), February 2021. [bibtex]

• J. Leibold. 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. [bibtex]

2020

• B. Maier. Error analysis for space and time discretizations of quasilinear wave-type equations. Dissertation, Karlsruhe Institute of Technology (KIT), May 2020. [bibtex]

2018

• S. Buchholz. Fehleranalyse von auf trigonometrischen Integratoren basierenden Splittingverfahren für hochoszillatorische, semilineare Probleme. Dissertation, Karlsruhe Institute of Technology (KIT), November 2018. [bibtex]

• J. Köhler. The Peaceman–Rachford ADI-dG method for linear wave-type problems. Dissertation, Karlsruhe Institute of Technology (KIT), September 2018. [bibtex]

2017

• D. Hipp. 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. [bibtex]

• A. Sturm. Locally implicit time integration for linear Maxwell's equations. Dissertation, Karlsruhe Institute of Technology (KIT), April 2017. [bibtex]

• L. Fath. On multiscale algorithms for selected applications in molecular mechanics. Dissertation, Karlsruhe Institute of Technology (KIT), March 2017. [bibtex]

2014

• T. Göckler. Rational Krylov Subspace Methods for phi-Functions in Exponential Integrators. Dissertation, Karlsruhe Institute of Technology (KIT), July 2014. [bibtex]

• A. Demirel. Eine flexible Klasse von local time stepping Verfahren. Dissertation, Karlsruhe Institute of Technology (KIT), April 2014. [bibtex]

2013

• T. Pažur. Error analysis of implicit and exponential time integration of linear Maxwell's equations. Dissertation, Karlsruhe Institute of Technology (KIT), December 2013. [bibtex]

• A. Wortmann. Positivity Preservation in the Simulation of Relativistic Laser-Plasma Interaction. Dissertation, Karlsruhe Institute of Technology (KIT), July 2013. [bibtex]

• C. Stohrer. Finite Element Heterogeneous Multiscale Methods for the Wave Equation. Dissertation, University of Basel, July 2013. [bibtex]

2012

• D. Hammer. Methoden zur Lösungsverifikation und Einschließungsverfahren für gemischte Komplementaritätsprobleme. Dissertation, Karlsruhe Institute of Technology (KIT), July 2012. [bibtex]

2009

• D. Löchel. Numerical Methods for Eigenvalue Problems in the Description of Drift Instabilities in the Plasma Edge. Dissertation, Heinrich-Heine Universität Düsseldorf, March 2009. [preprint] [bibtex]

2008

• J. Schweitzer. Numerical Simulation of Relativistic Laser-Plasma Interaction. Dissertation, Heinrich-Heine Universität Düsseldorf, July 2008. [preprint] [bibtex]

2002

• V. Grimm. Exponentielle Integratoren als Lange-Zeitschritt-Verfahren für oszillatorische Differentialgleichungen zweiter Ordnung. Dissertation, Heinrich-Heine Universität Düsseldorf, July 2002. [preprint] [bibtex]

1993

• M. Neher. Ein Einschließungsverfahren für das inverse Dirichletproblem. Dissertation, Universität Karlsruhe, June 1993. [bibtex]