2024
. Simplified methods for transmission computation in 2D curved optical waveguides. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2024.
. The magnetohydrodynamic equations around Couette flow. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2024.
. Singular limits in KGZ systems and the DNLS approximation in case of quadratic nonlinearities. PhD thesis, University of Stuttgart, April 2024.
. Long wave approximation over and beyond the natural time scale. PhD thesis, University of Stuttgart, April 2024.
. Polychromatic T-Matrix: Group-theoretical derivation and applications. PhD thesis, Karlsruhe Institute of Technology (KIT), February 2024.
2023
. On mixing and resonances in fluid systems. Habilitation thesis, Karlsruhe Institute of Technology (KIT), November 2023.
. All-at-once and reduced solvers for visco-acoustic full waveform inversion. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2023.
. Electromagnetic scattering from thin tubular objects and an application in electromagnetic chirality. PhD thesis, Karlsruhe Institute of Technology (KIT), June 2023.
. Existence and non-existence of breather solutions on necklace graphs. PhD thesis, University of Stuttgart, June 2023.
. Monotonicity methods for inverse scattering problems. PhD thesis, Karlsruhe Institute of Technology (KIT), May 2023.
. On the physical significance of strong spatial dispersion. PhD thesis, Karlsruhe Institute of Technology (KIT), May 2023.
. Wave scattering from nontrivial boundary conditions. PhD thesis, Karlsruhe Institute of Technology (KIT), February 2023.
. A fully parallelized and budgeted multi-level Monte Carlo framework for partial differential equations. PhD thesis, Karlsruhe Institute of Technology (KIT), February 2023.
. Some contributions to quantum many-body systems. Habilitation thesis, Karlsruhe Institute of Technology (KIT), January 2023.
2022
. Nonlinear Schrödinger equations with rough data. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2022.
. 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.
. On dynamical low-rank integrators for matrix differential equations. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2022.
. High-frequency wave-propagation: error analysis for analytical and numerical approximations. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2022.
. 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.
. A hierarchical solver for time-harmonic Maxwell's equations. PhD thesis, Karlsruhe Institute of Technology (KIT), April 2022.
. A segregated finite element method for cardiac elastodynamics in a fully coupled human heart model. PhD thesis, Karlsruhe Institute of Technology (KIT), March 2022.
. In silico modeling, simulation and optimization of human cardiac motion. PhD thesis, Karlsruhe Institute of Technology (KIT), February 2022.
2021
. On leapfrog-Chebyshev schemes for second-order diffferential equations. PhD thesis, Karlsruhe Institute of Technology, December 2021.
. Simulation of cardiac electrophysiology and biomechanics: from model development to clinical translation. Habilitation thesis, Karlsruhe Institute of Technology (KIT), December 2021.
. Unconventional contributions to dynamical low-rank approximation of tree tensor networks. PhD thesis, University of Tübingen, July 2021.
. Photonic packaging enabled by three-dimensional micro-printing. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2021.
. Model based estimation of the elastomechanical properties of the human heart. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2021.
. 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.
. Variational techniques for breathers in nonlinear wave equations. PhD thesis, Karlsruhe Institute of Technology (KIT), June 2021.
. The Maxwell–Landau–Lifshitz–Gilbert system: mathematical theory and numerical approximation. PhD thesis, Karlsruhe Institute of Technology (KIT), May 2021.
. 3D freeform waveguides in integrated optics – concepts, modeling, and applications. PhD thesis, Karlsruhe Institute of Technology (KIT), March 2021.
. Chip-scale optical frequency comb sources for terabit communications. PhD thesis, Karlsruhe Institute of Technology (KIT), February 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
. ADI schemes for the time integration of Maxwell equations. PhD thesis, Karlsruhe Institute of Technology, December 2020.
. Local wellposedness and global regularity results for biharmonic wave maps. PhD thesis, Karlsruhe Institute of Technology (KIT), December 2020.
. Numerical methods for shape optimization of photonic nanostructures. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2020.
. Kerr-nonlinear microresonators and frequency combs: modelling, design and applications. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2020.
. Numerical homogenization of time-dependent Maxwell's equations with dispersion effects. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2020.
. Challenges in near-surface seismic full-waveform inversion of field data. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2020.
. Coherent terabit/s communications using chip-scale optical frequency comb sources. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2020.
. Error analysis for space and time discretizations of quasilinear wave-type equations. PhD thesis, Karlsruhe Institute of Technology, May 2020.
. Realizability-preserving discretization strategies for hyperbolic and kinetic equations with uncertainty. PhD thesis, Karlsruhe Institute of Technology, May 2020.
. Silicon-organic hybrid electro-optic modulators for high-speed communication systems. PhD thesis, Karlsruhe Institute of Technology (KIT), March 2020.
2019
. Nonlinear Helmholtz equations and systems. Habilitation thesis, Karlsruhe Institute of Technology (KIT), December 2019.
. Modeling optical metamaterials with strong spatial dispersion. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2019.
. 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.
. Reconstructing the shape and measuring chirality of obstacles in electromagnetic scattering. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2019.
. Seismic imaging with the elliptic Radon transform in 3D: analytical and numerical aspects. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2019.
. Approximation of traveling waves by splitting methods. PhD thesis, Karlsruhe Institute of Technology (KIT), October 2019.
. Fractional order splitting for semilinear evolution equations. PhD thesis, Karlsruhe Institute of Technology (KIT), October 2019.
. On a nonlinear Helmholtz system. PhD thesis, Karlsruhe Institute of Technology (KIT), October 2019.
. Maxwell–Schrödinger system: well-posedness and standing waves. PhD thesis, Karlsruhe Institute of Technology (KIT), October 2019.
. Nonlinear phenomena on metric and discrete necklace graphs. PhD thesis, University of Stuttgart, July 2019.
. Amplitude equations for Boussinesq and Ginzburg–Landau-like models. PhD thesis, University of Stuttgart, June 2019.
. Continuation and bifurcation of frequency combs modeled by the Lugiato–Lefever equation. PhD thesis, Karlsruhe Institute of Technology (KIT), February 2019.
. Existence results and a priori bounds for positive solutions of discrete nonlinear elliptic equations. PhD thesis, Karlsruhe Institute of Technology (KIT), February 2019.
2018
. The viscoelastic seismic model: existence, uniqueness and differentiability with respect to parameters. PhD thesis, Karlsruhe Institute of Technology (KIT), December 2018.
. Fehleranalyse von auf trigonometrischen Integratoren basierenden Splittingverfahren für hochoszillatorische, semilineare Probleme. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2018.
. The Peaceman–Rachford ADI-dG method for linear wave-type problems. PhD thesis, Karlsruhe Institute of Technology (KIT), September 2018.
. Modulation spaces and nonlinear Schrödinger equations. PhD thesis, Karlsruhe Institute of Technology (KIT), September 2018.
. Uniformly accurate methods for Klein–Gordon type equations. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2018.
. Global solutions of the nonlinear Schrödinger equation with multiplicative noise. PhD thesis, Karlsruhe Institute of Technology (KIT), April 2018.
2017
. Space-time methods for acoustic waves with applications to full waveform inversion. PhD thesis, Karlsruhe Institute of Technology (KIT), December 2017.
. Semilinear and quasilinear stochastic evolution equations in Banach spaces. PhD thesis, Karlsruhe Institute of Technology (KIT), December 2017.
. On some nonlinear and nonlocal effective equations in kinetic theory and nonlinear optics. PhD thesis, Karlsruhe Institute of Technology (KIT), October 2017.
. 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.
. 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.
. Local wellposedness of nonlinear Maxwell equations. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2017.
. Error analysis of splitting methods for wave type equations. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2017.
. Time-integration methods for a dispersion-managed nonlinear Schrödinger equation. PhD thesis, Karlsruhe Institute of Technology (KIT), June 2017.
. 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.
. Mono- and polychromatic ground states for semilinear curl-curl wave equations. PhD thesis, Karlsruhe Institute of Technology (KIT), June 2017.
. Halfspace matching: a domain decomposition method for scattering by 2D open waveguides. PhD thesis, Karlsruhe Institute of Technology (KIT), May 2017.
. Locally implicit time integration for linear Maxwell's equations. PhD thesis, Karlsruhe Institute of Technology (KIT), April 2017.
. Spectral and asymptotic properties of periodic media. Habilitation thesis, Karlsruhe Institute of Technology (KIT), January 2017.
2016
. Terabit-rate transmission using optical frequency comb sources. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2016.
. A parallel and adaptive space-time method for Maxwell's equations. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2016.