Theses

2026

Maximilian Ruff. Error analysis of exponential integrators for wave-type equations at low regularity. PhD thesis, Karlsruhe Institute of Technology, January 2026. [bibtex]

2025

Selina Kailin Burkhard. Error analysis of tailor-made time integration schemes for certain classes of wave-type equations. PhD thesis, Karlsruhe Institute of Technology (KIT), December 2025. [bibtex]
Nasim Shafieeabyaneh. Efficient methods for solving direct and inverse scattering problems in locally perturbed periodic structures. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2025. [bibtex]
Lukas Bengel. On the existence and stability of nonlinear waves in Lugiato–Lefever models and in systems with periodic coefficients. PhD thesis, Karlsruhe Institute of Technology (KIT), October 2025. [bibtex]
Joannis Alexopoulos. Nonlinear stability of periodic wave trains against nonlocalized perturbations. PhD thesis, Karlsruhe Institute of Technology (KIT), September 2025. [bibtex]
Sebastian Ohrem. Breather solutions to nonlinear Maxwell and wave equations. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2025. [bibtex]
Leonie Fink. Nonlinear generalized impedance boundary conditions in inverse scattering. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2025. [bibtex]
Michael Kirn. Time integration of highly oscillatory nonlinear Dirac equations. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2025. [bibtex]
Lisa Schätzle. Uncertainty principles for inverse source and inverse scattering problems. PhD thesis, Karlsruhe Institute of Technology (KIT), May 2025. [bibtex]
Maria Bogusława Paszkiewicz-Idzik. Light propagation in free-form dielectric waveguides: a modal perspective. PhD thesis, Karlsruhe Institute of Technology (KIT), April 2025. [bibtex]
Kevin Ganster. The numerical scheme of approximate inverse for 2D linear seismic imaging. PhD thesis, Karlsruhe Institute of Technology (KIT), March 2025. [bibtex]

2024

Laura Pascale Lindner. Das Monodomain-Modell für die Erregungsausbreitung im menschlichen Herz und seine effiziente numerische Approximation. PhD thesis, Karlsruhe Institute of Technology (KIT), October 2024. [bibtex]
Andrea Scaglioni. Sparse grid approximation of stochastic PDEs: Adaptivity and approximation of the stochastic Landau–Lifshitz–Gilbert equation. PhD thesis, TU Vienna, October 2024. [bibtex]
Mariia Sukhova. Simplified methods for transmission computation in 2D curved optical waveguides. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2024. [bibtex]
Niklas Knobel. Magnetohydrodynamic equations around Couette flow. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2024. [bibtex]
Raphael Taraca. Singular limits in KGZ systems and the DNLS approximation in case of quadratic nonlinearities. PhD thesis, University of Stuttgart, April 2024. [bibtex]
Sarah Hofbauer. Long wave approximation over and beyond the natural time scale. PhD thesis, University of Stuttgart, April 2024. [bibtex]
Maxim Vavilin. Polychromatic T-Matrix: Group-theoretical derivation and applications. PhD thesis, Karlsruhe Institute of Technology (KIT), February 2024. [bibtex]

2023

Christian Zillinger. On mixing and resonances in fluid systems. Habilitation thesis, Karlsruhe Institute of Technology (KIT), November 2023. [bibtex]
Christian Rheinbay. All-at-once and reduced solvers for visco-acoustic full waveform inversion. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2023. [bibtex]
Marvin Knöller. Electromagnetic scattering from thin tubular objects and an application in electromagnetic chirality. PhD thesis, Karlsruhe Institute of Technology (KIT), June 2023. [bibtex]
Tobias Kielwein. Existence and non-existence of breather solutions on necklace graphs. PhD thesis, University of Stuttgart, June 2023. [bibtex]
Annalena Albicker. Monotonicity methods for inverse scattering problems. PhD thesis, Karlsruhe Institute of Technology (KIT), May 2023. [bibtex]
Ramakrishna Venkitakrishnan. On the physical significance of strong spatial dispersion. PhD thesis, Karlsruhe Institute of Technology (KIT), May 2023. [bibtex]
Jörg Alexander Nick. Wave scattering from nontrivial boundary conditions. PhD thesis, Karlsruhe Institute of Technology (KIT), February 2023. [bibtex]
Niklas Baumgarten. A fully parallelized and budgeted multi-level Monte Carlo framework for partial differential equations. PhD thesis, Karlsruhe Institute of Technology (KIT), February 2023. [bibtex]
Ioannis Anapolitanos. Some contributions to quantum many-body systems. Habilitation thesis, Karlsruhe Institute of Technology (KIT), January 2023. [bibtex]

2022

Friedrich Klaus. Nonlinear Schrödinger equations with rough data. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2022. [bibtex]
Elias Gasmi. On the Lugiato–Lefever model for frequency combs in a dual-pumped ring resonator with an appendix on band structures for periodic fractional Schrödinger operators. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2022. [bibtex]
Stefan Schrammer. On dynamical low-rank integrators for matrix differential equations. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2022. [bibtex]
Julian Baumstark. High-frequency wave-propagation: error analysis for analytical and numerical approximations. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2022. [bibtex]
Tobias Gerach. Personalized electromechanical modeling of the human heart: challenges and opportunities for the simulation of pathophysiological scenarios. PhD thesis, Karlsruhe Institute of Technology (KIT), May 2022. [bibtex]
Pascal Kraft. A hierarchical solver for time-harmonic Maxwell's equations. PhD thesis, Karlsruhe Institute of Technology (KIT), April 2022. [bibtex]
Jonathan Samuel Fröhlich. A segregated finite element method for cardiac elastodynamics in a fully coupled human heart model. PhD thesis, Karlsruhe Institute of Technology (KIT), March 2022. [bibtex]
Lukas Baron. In silico modeling, simulation and optimization of human cardiac motion. PhD thesis, Karlsruhe Institute of Technology (KIT), February 2022. [bibtex]

2021

Constantin Carle. On leapfrog-Chebyshev schemes for second-order difﬀerential equations. PhD thesis, Karlsruhe Institute of Technology, December 2021. [bibtex]
Axel Loewe. Simulation of cardiac electrophysiology and biomechanics: from model development to clinical translation. Habilitation thesis, Karlsruhe Institute of Technology (KIT), December 2021. [bibtex]
Gianluca Ceruti. Unconventional contributions to dynamical low-rank approximation of tree tensor networks. PhD thesis, University of Tübingen, July 2021. [bibtex]
Matthias Jan Blaicher. Photonic packaging enabled by three-dimensional micro-printing. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2021. [bibtex]
Ekaterina Kovacheva. Model based estimation of the elastomechanical properties of the human heart. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2021. [bibtex]
Jorge Patricio Sánchez Arciniegas. A multiscale in silico study to characterize the atrial electrical activity of patients with atrial fibrillation: a translational study to guide ablation therapy. PhD thesis, Karlsruhe Institute of Technology (KIT), June 2021. [bibtex]
Simon Kohler. Variational techniques for breathers in nonlinear wave equations. PhD thesis, Karlsruhe Institute of Technology (KIT), June 2021. [bibtex]
Jan Adam Bohn. The Maxwell–Landau–Lifshitz–Gilbert system: mathematical theory and numerical approximation. PhD thesis, Karlsruhe Institute of Technology (KIT), May 2021. [bibtex]
Aleksandar Nesic. 3D freeform waveguides in integrated optics – concepts, modeling, and applications. PhD thesis, Karlsruhe Institute of Technology (KIT), March 2021. [bibtex]
Pablo Marin-Palomo. Chip-scale optical frequency comb sources for terabit communications. PhD thesis, Karlsruhe Institute of Technology (KIT), February 2021. [bibtex]
Benjamin Dörich. Error analysis of exponential integrators for nonlinear wave-type equations. PhD thesis, Karlsruhe Institute of Technology (KIT), February 2021. [bibtex]
Jan 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

Konstantin Zerulla. ADI schemes for the time integration of Maxwell equations. PhD thesis, Karlsruhe Institute of Technology, December 2020. [bibtex]
Tobias Schmid. Local wellposedness and global regularity results for biharmonic wave maps. PhD thesis, Karlsruhe Institute of Technology (KIT), December 2020. [bibtex]
Xavier García-Santiago. Numerical methods for shape optimization of photonic nanostructures. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2020. [bibtex]
Philipp Trocha. Kerr-nonlinear microresonators and frequency combs: modelling, design and applications. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2020. [bibtex]
Jan Philip Freese. Numerical homogenization of time-dependent Maxwell's equations with dispersion effects. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2020. [bibtex]
Nikolaos Athanasopoulos. Challenges in near-surface seismic full-waveform inversion of field data. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2020. [bibtex]
Juned Nassir Kemal. Coherent terabit/s communications using chip-scale optical frequency comb sources. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2020. [bibtex]
Bernhard Maier. Error analysis for space and time discretizations of quasilinear wave-type equations. PhD thesis, Karlsruhe Institute of Technology, May 2020. [bibtex]
Jonas Kusch. Realizability-preserving discretization strategies for hyperbolic and kinetic equations with uncertainty. PhD thesis, Karlsruhe Institute of Technology, May 2020. [bibtex]
Heiner Zwickel. Silicon-organic hybrid electro-optic modulators for high-speed communication systems. PhD thesis, Karlsruhe Institute of Technology (KIT), March 2020. [bibtex]

2019

Rainer Mandel. Nonlinear Helmholtz equations and systems. Habilitation thesis, Karlsruhe Institute of Technology (KIT), December 2019. [bibtex]
Karim Mnasri. Modeling optical metamaterials with strong spatial dispersion. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2019. [bibtex]
Daniel Alexander Ziegler. A parallel and adaptive space-time discontinuous Galerkin method for visco-elastic and visco-acoustic waves. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2019. [bibtex]
Felix Peter Hagemann. Reconstructing the shape and measuring chirality of obstacles in electromagnetic scattering. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2019. [bibtex]
Christine Grathwohl. Seismic imaging with the elliptic Radon transform in 3D: analytical and numerical aspects. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2019. [bibtex]
Robin Flohr. Approximation of traveling waves by splitting methods. PhD thesis, Karlsruhe Institute of Technology (KIT), October 2019. [bibtex]
Sebastian Schwarz. Fractional order splitting for semilinear evolution equations. PhD thesis, Karlsruhe Institute of Technology (KIT), October 2019. [bibtex]
Dominic Scheider. On a nonlinear Helmholtz system. PhD thesis, Karlsruhe Institute of Technology (KIT), October 2019. [bibtex]
Andreas Geyer-Schulz. Maxwell–Schrödinger system: well-posedness and standing waves. PhD thesis, Karlsruhe Institute of Technology (KIT), October 2019. [bibtex]
Daniela Maier. Nonlinear phenomena on metric and discrete necklace graphs. PhD thesis, University of Stuttgart, July 2019. [bibtex]
Tobias Haas. Amplitude equations for Boussinesq and Ginzburg–Landau-like models. PhD thesis, University of Stuttgart, June 2019. [bibtex]
Janina Gärtner. Continuation and bifurcation of frequency combs modeled by the Lugiato–Lefever equation. PhD thesis, Karlsruhe Institute of Technology (KIT), February 2019. [bibtex]
Carlos Hauser. Existence results and a priori bounds for positive solutions of discrete nonlinear elliptic equations. PhD thesis, Karlsruhe Institute of Technology (KIT), February 2019. [bibtex]

2018

Uwe Christian Zeltmann. The viscoelastic seismic model: existence, uniqueness and differentiability with respect to parameters. PhD thesis, Karlsruhe Institute of Technology (KIT), December 2018. [bibtex]
Simone Franziska Buchholz. Fehleranalyse von auf trigonometrischen Integratoren basierenden Splittingverfahren für hochoszillatorische, semilineare Probleme. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2018. [bibtex]
Jonas Köhler. The Peaceman–Rachford ADI-dG method for linear wave-type problems. PhD thesis, Karlsruhe Institute of Technology (KIT), September 2018. [bibtex]
Leonid Chaichenets. Modulation spaces and nonlinear Schrödinger equations. PhD thesis, Karlsruhe Institute of Technology (KIT), September 2018. [bibtex]
Simon Baumstark. Uniformly accurate methods for Klein–Gordon type equations. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2018. [bibtex]
Fabian Hornung. Global solutions of the nonlinear Schrödinger equation with multiplicative noise. PhD thesis, Karlsruhe Institute of Technology (KIT), April 2018. [bibtex]

2017

Johannes Ernesti. Space-time methods for acoustic waves with applications to full waveform inversion. PhD thesis, Karlsruhe Institute of Technology (KIT), December 2017. [bibtex]
Luca Hornung. Semilinear and quasilinear stochastic evolution equations in Banach spaces. PhD thesis, Karlsruhe Institute of Technology (KIT), December 2017. [bibtex]
Tobias Ried. On some nonlinear and nonlocal effective equations in kinetic theory and nonlinear optics. PhD thesis, Karlsruhe Institute of Technology (KIT), October 2017. [bibtex]
Piotr Idzik. Application of bifurcation theory for existence of travelling waves in examples of semilinear and quasilinear wave equations. PhD thesis, Karlsruhe Institute of Technology (KIT), September 2017. [bibtex]
Patrick Krämer. Numerical integrators for Maxwell–Klein–Gordon and Maxwell–Dirac systems in highly to slowly oscillatory regimes. PhD thesis, Karlsruhe Institute of Technology (KIT), August 2017. [bibtex]
Martin Spitz. Local wellposedness of nonlinear Maxwell equations. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2017. [bibtex]
Johannes Eilinghoff. Error analysis of splitting methods for wave type equations. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2017. [bibtex]
Marcel Mikl. Time-integration methods for a dispersion-managed nonlinear Schrödinger equation. PhD thesis, Karlsruhe Institute of Technology (KIT), June 2017. [bibtex]
David Hipp. A unified error analysis for spatial discretizations of wave-type equations with applications to dynamic boundary conditions. PhD thesis, Karlsruhe Institute of Technology (KIT), June 2017. [bibtex]
Andreas Hirsch. Mono- and polychromatic ground states for semilinear curl-curl wave equations. PhD thesis, Karlsruhe Institute of Technology (KIT), June 2017. [bibtex]
Julian Ott. Halfspace matching: a domain decomposition method for scattering by 2D open waveguides. PhD thesis, Karlsruhe Institute of Technology (KIT), May 2017. [bibtex]
Andreas Sturm. Locally implicit time integration for linear Maxwell's equations. PhD thesis, Karlsruhe Institute of Technology (KIT), April 2017. [bibtex]
Andrii Khrabustovskyi. Spectral and asymptotic properties of periodic media. Habilitation thesis, Karlsruhe Institute of Technology (KIT), January 2017. [bibtex]

2016

Jörg Pfeifle. Terabit-rate transmission using optical frequency comb sources. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2016. [bibtex]
Stefan Matthias Findeisen. A parallel and adaptive space-time method for Maxwell's equations. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2016. [bibtex]