Veröffentlichungen
Graduierungsarbeiten
Behandlung singulärer Diffusion mit Hilfe von Dirichletfomen
Diplomarbeit. TU Dresden, Fachrichtung Mathematik, 2009. pdf
Measure-perturbed one-dimensional Schrödinger operators — A continuum model for quasicrystals.
Dissertation. TU Chemnitz, Fakultät für Mathematik, 2012. pdf
Artikel in Zeitschriften und Proceedingsbänden
Implementing Computer-assisted Exams in a Course on Numerical Analysis for Engineering Students.
Proceedings 19th SEFI MWG, Coimbra, Portugal (2018), 33-38.
Finite Sections: A functional analytic perspective on approximation methods.
GAMM-Mitteilungen 41, no 3, 201800013 (2018). Journal
Multiscale Simulation of 2-D Photonic Crystal Structures Using a Contour Integral Method.
IEEE Journal on Multiscale and Multiphysics Computational Techniques 4(1) (2019), 88-97. Journal
A note on traces of forms with applications to the Bessel operator. erscheint in Proc. International Conference on Operator Theory, Hammamet, Tunisia 2018.
Subordination for sequentially equicontinuous equibounded $C_0$-semigroups.
eingereicht. arXiv-Preprint
Novel Method for Error Estimation in Applications of Polynomial Chaos Expansion to Stochastic Modeling of Multi-Resonant Systems.
Electrical Performance of Electronic Packaging and Systems, San Jose, CA, USA (2018).
A note on perturbations of C0-semigroups.
Submitted. arXiv-Preprint, 2018.
Airy-type evolution equations on star graphs.
Analysis & PDE 11 (7), 1625-1652, 2018. arXiv-Preprint, Journal
Feasibility of Uncertainty Quantification for Power Distribution Network Modeling Using PCE and a Contour Integral Method.
2018 Joint IEEE International Symposium on Electromagnetic Compatibility & Asia-Pacific Symposium on Electromagnetic Compatibility (2018 Joint IEEE EMC & APEMC), Singapore
The linearised Korteweg-de-Vries equation on general metric graphs.
In: The Diversity and Beauty of Applied Operator Theory,
Operator Theory: Advances and Applications 268, 449-458, 2018. arXiv-Preprint, Journal
Operator Theory: Advances and Applications 268, 449-458, 2018. arXiv-Preprint, Journal
E-Assessments to increase the perceived importance of Mathematics in the introductory phase of Engineering Education via bridging tasks.
Proceedings of the 45th SEFI Annual Conference 2017, 1549-1556, 2017.
Absolutely continuous spectrum for Laplacians on radial metric trees and periodicity.
Integr. Equ. Oper. Theory 89(3), 439-453 (2017). arXiv-Preprint, Journal
Conception of online e-assessment exercises for math courses with elements from mechanical engineering.
In Kammasch, G., Klaffke, H., Knutzen, S. (Eds.): Tagungsband der 11. Ingenieurpädagogischen Regionaltagung, Hamburg, 232-236, 2017.
Variability Analysis of Via Crosstalk using Polynomial Chaos Expansion.
2017 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization for RF, Microwave, and Terahertz Applications (NEMO), 317-319, 2017
On the spectrum of operator families on discrete groups over minimal dynamical systems.
Math. Z. 287, 993-1007 (2017). Journal
Individualisierung von Großveranstaltungen. Oder: Wie man Ingenieurstudierenden die Mathematik schmackhaft macht.
Tagungsband zum Hanse-Kolloquium 2015, wtm-Verlag, 64-75, 2016.
Ein Entscheidungsbaum als Werkzeug für die Qualitätssicherung von Fragen.
Tagungsband zum Hanse-Kolloquium 2015, wtm-Verlag, 51-63, 2016.
On eigenvalue bounds for a general class of Sturm-Liouville operators .
Math Phys Anal Geom 19: 25, 18pp (2016). arXiv-Preprint
Providing opportunities for individual practice and assessment in a large undergraduate mathematics course.
Proceedings of the Sixth International Symposium of Engineering Education, 13-20, 2016.
Using a modification of Bloom's taxonomy to design multiple-choice questions to practice different kinds of knowledge and specific cognitive processes.
Proceedings of the Sixth International Symposium of Engineering Education, 326-333, 2016.
Note on spectra of non-selfadjoint operators over dynamical systems.
Proc. Edinb. Math. Soc. 61 (2), 371-386 (2018). arXiv-Preprint, Journal
Perturbations of positive semigroups on $L_p$-spaces.
Positivity, June 2016, Volume 20, Issue 2, 467-481. Journal
Dirichlet forms for singular diffusion in higher dimensions.
Journal of Evolution Equations: Volume 15, Issue 4 (2015), Page 869-878. Journal
Constancy of spectra of equivariant (non-selfadjoint) operators over minimal dynamical systems.
Proc. Appl. Math. Mech. 15, 697-698 (2015). Journal
Project-Based Learning und Constructive Alignment in Numerik gewöhnlicher Differentialgleichungen
Wismarer Frege-Reihe, 02/2015, Teil 1, 45-50.
On the perturbation of positive semigroups.
Semigroup Forum: Volume 91, Issue 2 (2015), Page 495-501. arXiv-Preprint
Boundary systems and (skew-)self-adjoint operators on infinite metric graphs.
Math. Nachr. 288, No. 14–15, 1776–1785 (2015). arXiv-Preprint, Journal
Almost sure purely singular continuous spectrum for quasicrystal models.
Proceedings of the QMath12 Conference, World Scientific Publishing (2015), 349–354. Journal
Kernel estimates for perturbations of positive semigroups.
Proc. Appl. Math. Mech. 14, 1007–1008 (2014). Journal
Zero measure Cantor spectra for continuum one-dimensional quasicrystals.
J. Differential Equations, 256 (6) (2014), 1905–1926.arXiv-Preprint, Journal
A weak Gordon type condition for absence of eigenvalues of one-dimensional Schrödinger operators.
Integr. Equ. Oper. Theory 78(3) (2014), 383–405. arXiv-Preprint, Journal
Absence of absolutely continuous spectrum for the Kirchhoff Laplacian on radial trees.
Ann. Henri Poincaré, 15(6) (2014), 1109–1121. arXiv-Preprint, Journal
An improved criterion for absence of eigenvalues of one-dimensional Schrödinger operators.
Proc. Appl. Math. Mech., 13 (2013), 519–520. Journal
Uniform existence of the integrated density of states on metric Cayley graphs.
Lett. Math. Phys., 103 (9) (2013), 1009–1028. Journal
Regularity of the Lyapunov exponent I.
Oberwolfach Reports, 9(2) (2012), 1051–1053.
Dirichlet forms for singular diffusion on graphs.
Oper. Matrices, 5 (2011), no. 4, 723–34. Journal
Gordon type theorem for measure perturbation.
Electron. J. Diff. Eqns., 111 (2011), 1–9. pdf
Preprints
On the construction and convergence of traces of forms.
submitted. arXiv-Preprint
Applicability of Polynomial Chaos Expansion near Poles of Resonant Electric Systems.
submitted.
Fractional powers of non-negative operators in Banach spaces via the Dirichlet-to-Neumann operator.
submitted. arXiv-Preprint
Forecasting Lifetime Spare Parts Demand after End of Production.