## Publications

A uniformly exponentially stable ADI scheme for Maxwell equations. J. Math. Anal. Appl., 492(1):124442, December 2020. URL https://doi.org/10.1016/j.jmaa.2020.124442. . [preprint]

On leapfrog-Chebyshev schemes. SIAM J. Numer. Anal., 58(4):2404–2433, August 2020. URL https://doi.org/10.1137/18M1209453. . [preprint]

Error analysis of an energy preserving ADI splitting scheme for the Maxwell equations. SIAM J. Numer. Anal., 57(3):1036–1057, May 2019. URL https://doi.org/10.1137/18M1203377. . [preprint]

Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell's equations. Math. Comp., 88(317):1121–1153, May 2019. URL https://doi.org/10.1090/mcom/3365. . [preprint]

On the efficiency of the Peaceman–Rachford ADI-dG method for wave-type problems. In F. A. Radu, K. Kumar, I. Berre, J. M. Nordbotten, and I. S. Pop, editors, Numerical Mathematics and Advanced Applications ENUMATH 2017, volume 126 of

*Lecture Notes in Computational Science and Engineering*, pages 135–144, January 2019. Springer International Publishing. . [preprint]Error analysis of an ADI splitting scheme for the inhomogeneous Maxwell equations. Discrete Contin. Dyn. Syst., 38(11):5685–5709, November 2018. URL https://doi.org/10.3934/dcds.2018248. . [preprint]

Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation. SIAM J. Numer. Anal., 56(2):994–1021, April 2018. URL https://doi.org/10.1137/17M1121925. . [preprint]

Error analysis of implicit Runge–Kutta methods for quasilinear hyperbolic evolution equations. Numer. Math., 138(3):557–579, March 2018. URL https://doi.org/10.1007/s00211-017-0914-6. . [preprint]

Multilevel local time-stepping methods of Runge–Kutta-type for wave equations. SIAM J. Sci. Comput., 39(5):A2020–A2048, September 2017. URL https://doi.org/10.1137/16M1084407. . [preprint]

Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations. Numer. Math., 135(2):547–569, February 2017. URL https://doi.org/10.1007/s00211-016-0810-5. . [preprint]

Error analysis of a second-order locally implicit method for linear Maxwell's equations. SIAM J. Numer. Anal., 54(5):3167–3191, October 2016. URL https://doi.org/10.1137/15M1038037. . [preprint]

## Preprints

Error analysis of discontinuous Galerkin discretizations of a class of linear wave-type problems. CRC 1173 Preprint 2019/14, Karlsruhe Institute of Technology, September 2019. .

On the efficiency of the Peaceman–Rachford ADI-dG method for wave-type methods. CRC 1173 Preprint 2017/34, Karlsruhe Institute of Technology, December 2017. Revised version from March 2018. .

Error estimates in $L^2$ of an ADI splitting scheme for the inhomogeneous Maxwell equations. CRC 1173 Preprint 2017/32, Karlsruhe Institute of Technology, December 2017. .

## Theses

*Error analysis for space and time discretizations of quasilinear wave-type equations*. PhD thesis, Karlsruhe Institute of Technology, May 2020. .*The Peaceman–Rachford ADI-dG method for linear wave-type problems*. PhD thesis, Karlsruhe Institute of Technology (KIT), September 2018. .*Error analysis of splitting methods for wave type equations*. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2017. .*Locally implicit time integration for linear Maxwell's equations*. PhD thesis, Karlsruhe Institute of Technology (KIT), April 2017. .