## Publications

Randomized exponential integrators for modulated nonlinear Schrödinger equations. IMA J. Numer. Anal., 1–20, January 2020. URL https://doi.org/10.1093/imanum/drz050. Online first. . [preprint]

Splitting methods for nonlinear Dirac equations with Thirring type interaction in the nonrelativistic limit regime. J. Computat. Appl. Math., 112494, September 2019. URL https://doi.org/10.1016/j.cam.2019.112494. Online first, in press. . [preprint]

Effective slow dynamics models for a class of dispersive systems. J. Dyn. Diff. Equat., 1–33, September 2019. URL https://doi.org/10.1007/s10884-019-09791-w. Online first. . [preprint]

Trigonometric integrators for quasilinear wave equations. Math. Comp., 88(316):717–749, March 2019. URL https://doi.org/10.1090/mcom/3339. . [preprint]

Uniformly accurate oscillatory integrators for the Klein–Gordon–Zakharov system from low- to high-plasma frequency regimes. SIAM J. Numer. Anal., 57(1):429–457, February 2019. URL https://doi.org/10.1137/18M1177184. . [preprint]

Low regularity exponential-type integrators for semilinear Schrödinger equations. Found. Comput. Math., 18(3):731–755, June 2018. URL https://doi.org/10.1007/s10208-017-9352-1. . [preprint]

Uniformly accurate exponential-type integrators for Klein–Gordon equations with asymptotic convergence to the classical NLS splitting. Math. Comp., 87(311):1227–1254, May 2018. URL https://doi.org/10.1090/mcom/3263. . [preprint]

Asymptotic consistent exponential-type integrators for Klein–Gordon–Schrödinger systems from relativistic to non-relativistic regimes. Electron. Trans. Numer. Anal., 48:63–80, March 2018. URL https://doi.org/10.1553/etna_vol48s63. .

Trigonometric time integrators for the Zakharov system. IMA J. Numer. Anal., 37(4):2042–2066, October 2017. URL https://doi.org/10.1093/imanum/drw059. . [preprint]

An exponential-type integrator for the KdV equation. Numer. Math., 136(4):1117–1137, August 2017. URL https://doi.org/10.1007/s00211-016-0859-1. . [preprint]

Efficient time integration of the Maxwell–Klein–Gordon equation in the non-relativistic limit regime. J. Comput. Appl. Math., 316:247–259, May 2017. URL https://doi.org/10.1016/j.cam.2016.07.007. Selected Papers from NUMDIFF-14. . [preprint]

From the Klein–Gordon–Zakharov system to the Klein–Gordon equation. Math. Methods Appl. Sci., 39(18):5371–5380, December 2016. URL https://doi.org/10.1002/mma.3922. . [preprint]

## Preprints

Effective numerical simulation of the Klein–Gordon–Zakharov system in the Zakharov limit. CRC 1173 Preprint 2019/7, Karlsruhe Institute of Technology, March 2019. .

Asymptotic preserving trigonometric integrators for the quantum Zakharov system. CRC 1173 Preprint 2019/4, Karlsruhe Institute of Technology, January 2019. .

On the comparison of asymptotic expansion techniques for the nonlinear Klein–Gordon equation in the nonrelativistic limit regime. CRC 1173 Preprint 2018/52, Karlsruhe Institute of Technology, December 2018. .

Randomized exponential integrators for modulated nonlinear Schrödinger equations. CRC 1173 Preprint 2018/49, Karlsruhe Institute of Technology, December 2018. .

The KdV approximation for a system with unstable resonances. CRC 1173 Preprint 2018/42, Karlsruhe Institute of Technology, November 2018. .

## Theses

*Uniformly accurate methods for Klein–Gordon type equations*. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2018. .*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. .