## 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]

Error analysis of discontinuous Galerkin discretizations of a class of linear wave-type problems. In W. Dörfler, M. Hochbruck, D. Hundertmark, W. Reichel, A. Rieder, R. Schnaubelt, and B. Schörkhuber, editors, Mathematics of Wave Phenomena, Trends in Mathematics, pages 197–218, October 2020. Birkhäuser Basel. .

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

Interpolation of a regular subspace complementing the span of a radially singular function. CRC 1173 Preprint 2021/28, Karlsruhe Institute of Technology, June 2021. .

Error analysis of multirate leapfrog-type methods for second-order semilinear ODEs. CRC 1173 Preprint 2021/26, Karlsruhe Institute of Technology, June 2021. . [files]

Error analysis for full discretizations of quasilinear wave-type equations with two variants of the implicit midpoint rule. CRC 1173 Preprint 2021/24, Karlsruhe Institute of Technology, May 2021. .

Exponential integrators for quasilinear wave-type equations. CRC 1173 Preprint 2021/12, Karlsruhe Institute of Technology, April 2021. . [files]

Error analysis for space discretizations of quasilinear wave-type equations. CRC 1173 Preprint 2021/2, Karlsruhe Institute of Technology, January 2021. . [files]

Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems. CRC 1173 Preprint 2020/39, Karlsruhe Institute of Technology, December 2020. . [files]

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

*ADI schemes for the time integration of Maxwell equations*. PhD thesis, Karlsruhe Institute of Technology, December 2020. .*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. .