2022

• Leibner Tobias. 2022. Model reduction for kinetic equations: moment approximations and hierarchical approximate proper orthogonal decomposition Dissertation thesis, Universität Münster.
• Singh, A; Thale, S; Leibner, T; Ricker, A; Nüsse, H; Klingauf, J; Ohlberger, M; Matis, M. 2022. ‘Dynamic interplay of protrusive microtubule and contractile actomyosin forces drives tissue extension.’ eLife 2022. doi: 10.1101/2022.06.21.496930. [submitted / under review]

2021

• Leibner T, Ohlberger M. 2021. ‘A new entropy-variable-based discretization method for minimum entropy moment approximations of linear kinetic equations.’ ESAIM: Mathematical Modelling and Numerical Analysis 55: 2567–2608. doi: 10.1051/m2an/2021065.
• Leibner T, Matis M, Ohlberger M, Rave S. 2021. ‘Distributed model order reduction of a model for microtubule-based cell polarization using HAPOD.’ arXiv [math.NA] 2111.00129. [submitted / under review]

2020

• Schneider Florian, Leibner Tobias. 2020. ‘First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: Model derivation and realizability theory.’ Journal of Computational Physics 416: 109547. doi: 10.1016/j.jcp.2020.109547.

2019

• Schneider Florian, Leibner Tobias. 2019. ‘First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: realizability-preserving splitting scheme and numerical analysis.’ arXiv 2019. [submitted / under review]

2018

• Himpe C, Leibner T, Rave S. 2018. ‘Hierarchical Approximate Proper Orthogonal Decomposition.’ SIAM Journal on Scientific Computing 40, No. 5: A3267–A3292.
• Himpe C, Leibner T, Rave S. ‘HAPOD - Fast, Simple and Reliable Distributed POD Computation.’ contributed to the MATHMOD 2018- 9th Vienna International Conference on Mathematical Modelling, Vienna, 2018. doi: 10.11128/arep.55.a55283.

2017

• Leibner T, Milk R, Schindler F. 2017. ‘Extending DUNE: The dune-xt modules.’ Archive of Numerical Software 5, No. 1: 193–216. doi: 10.11588/ans.2017.1.27720.
• Himpe C, Leibner T, Rave S, Saak J. 2017. ‘Fast Low-Rank Empirical Cross Gramians.’ PAMM 17, No. 1: 841–842. doi: 10.1002/pamm.201710388.

2016

• Brunken Julia, Leibner Tobias, Ohlberger Mario, Smetana Kathrin. 2016. ‘Problem adapted hierachical model reduction for the Fokker-Planck equation.’ In ALGORITMY 2016 Proceedings of contributed papers and posters, edited by Handlovicova Angela, Sevcovic Daniel, 13–22. Bratislava: Slovak University of Technology in Bratislava.

2015

• Leibner Tobias. 2015. Numerical methods for kinetic equations (Master's thesis).