## Publications

On the stability of robust dynamical low-rank approximations for hyperbolic problems. SIAM J. Sci. Comput., 45(1):A1–A24, February 2023. URL https://doi.org/10.1137/21M1446289. . [preprint] [files]

A low-rank power iteration scheme for neutron transport criticality problems. J. Comput. Phys., 470:111587, December 2022. URL https://doi.org/10.1016/j.jcp.2022.111587. . [preprint] [files]

A rank-adaptive robust integrator for dynamical low-rank approximation. BIT, 62(4):1149–1174, December 2022. URL https://doi.org/10.1007/s10543-021-00907-7. . [preprint]

A robust collision source method for rank adaptive dynamical low-rank approximation in radiation therapy. ESAIM: Math. Model. Numer. Anal., 1–27, November 2022. URL https://doi.org/10.1051/m2an/2022090. Online first. . [preprint] [files]

Dynamical low-rank approximation for Burgers' equation with uncertainty. Int. J. Uncertain. Quantif., 12(5):1–21, March 2022. URL https://doi.org/10.1615/Int.J.UncertaintyQuantification.2022039345. . [preprint] [files]

An unconventional robust integrator for dynamical low-rank approximation. BIT, 62(1):23–44, March 2022. URL https://doi.org/10.1007/s10543-021-00873-0. . [preprint]

Time integration of tree tensor networks. SIAM J. Numer. Anal., 59(1):289–313, February 2021. URL https://doi.org/10.1137/20M1321838. . [preprint]

A low-rank method for two-dimensional time-dependent radiation transport calculations. J. Comput. Phys., 421:109735, 18, November 2020. URL https://doi.org/10.1016/j.jcp.2020.109735. .

Time integration of symmetric and anti-symmetric low-rank matrices and Tucker tensors. BIT, 60(3):591–614, January 2020. URL https://doi.org/10.1007/s10543-019-00799-8. . [preprint]

## Preprints

Dynamical low-rank approximation for Marshak waves. CRC 1173 Preprint 2022/76, Karlsruhe Institute of Technology, December 2022. . [files]

## Theses

*Unconventional contributions to dynamical low-rank approximation of tree tensor networks*. PhD thesis, University of Tübingen, July 2021. .*Realizability-preserving discretization strategies for hyperbolic and kinetic equations with uncertainty*. PhD thesis, Karlsruhe Institute of Technology, May 2020. .

## Other references

Dynamical low-rank integrator for the linear Boltzmann equation: error analysis in the diffusion limit. SIAM J. Numer. Anal., 59(4):2254–2285, 2021. URL https://doi.org/10.1137/20M1380788. .

A mass, momentum, and energy conservative dynamical low-rank scheme for the Vlasov equation. J. Comput. Phys., 443:Paper No. 110495, 16, 2021. URL https://doi.org/10.1016/j.jcp.2021.110495. .

A quasi-conservative dynamical low-rank algorithm for the Vlasov equation. SIAM J. Sci. Comput., 41(5):B1061–B1081, 2019. URL https://doi.org/10.1137/18M1218686. .

A low-rank projector-splitting integrator for the Vlasov-Poisson equation. SIAM J. Sci. Comput., 40(5):B1330–B1360, 2018. URL https://doi.org/10.1137/18M116383X. .

A projector-splitting integrator for dynamical low-rank approximation. BIT, 54(1):171–188, 2014. URL https://doi.org/10.1007/s10543-013-0454-0. .

Dynamical approximation by hierarchical Tucker and tensor-train tensors. SIAM J. Matrix Anal. Appl., 34(2):470–494, 2013. URL https://doi.org/10.1137/120885723. .

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