Model reduction for kinetic equations: moment approximations and hierarchical approximate proper orthogonal decomposition

Basic data of the doctoral examination procedure

Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster

Period of time: to 13/04/2021

Status: completed

Candidate: Leibner, Tobias

Doctoral subject: Mathematik

Doctoral degree: Dr. rer. nat.

Awarded by: Department 10 - Mathematics and Computer Science

Supervisors: Ohlberger, Mario

Promovend*in an der Universität Münster

Leibner, Tobias

Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)

Supervision at the University of Münster

Ohlberger, Mario

Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)

Projects in which the doctoral examination procedure takes/took place

Cluster of Excellence 2044 - Mathematics Münster: Dynamics – Geometry – Structure (EXC 2044) Duration: 01/01/2019 - 31/12/2025 \| 1st Funding period Funded by: DFG - Cluster of Excellence Type of project: Main DFG-project hosted at University of Münster
EXC 2044 - C2: Multi-scale phenomena and macroscopic structures Duration: 01/01/2019 - 31/12/2025 \| 1st Funding period Funded by: DFG - Cluster of Excellence Type of project: Subproject in DFG-joint project hosted at University of Münster

Publications resulting from doctoral examination procedure

Dynamic interplay of microtubule and actomyosin forces drive tissue extension Singh A; Thale S; Leibner T; Lamparter L; Ricker A; Nüsse H; Klingauf J; Galic M; Ohlberger M; Matis M (2024) In: Nature Communications, 15(1), 3198-3198. doi:10.1038/s41467-024-47596-8 Research article (journal) \| Peer reviewed \| Published
Dynamic interplay of protrusive microtubule and contractile actomyosin forces drives tissue extension Singh, A; Thale, S; Leibner, T; Ricker, A; Nüsse, H; Klingauf, J; Ohlberger, M; Matis, M (2022) In: eLife, 2022. doi:10.1101/2022.06.21.496930 Research article (journal) \| submitted / under review
A new entropy-variable-based discretization method for minimum entropy moment approximations of linear kinetic equations Leibner T, Ohlberger M (2021) In: ESAIM: Mathematical Modelling and Numerical Analysis, 55. doi:10.1051/m2an/2021065 Research article (journal) \| Peer reviewed \| Published
First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: Model derivation and realizability theory Schneider Florian, Leibner Tobias (2020) In: Journal of Computational Physics, 416. doi:10.1016/j.jcp.2020.109547 Research article (journal) \| Peer reviewed \| Published
First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: realizability-preserving splitting scheme and numerical analysis Schneider Florian, Leibner Tobias (2019) In: ((Bitte Journal prüfen)), 2019. Research article (journal) \| submitted / under review

Show all publications (7)

Dynamic interplay of microtubule and actomyosin forces drive tissue extension Singh A; Thale S; Leibner T; Lamparter L; Ricker A; Nüsse H; Klingauf J; Galic M; Ohlberger M; Matis M (2024) In: Nature Communications, 15(1), 3198-3198. doi:10.1038/s41467-024-47596-8 Research article (journal) \| Peer reviewed \| Published
Dynamic interplay of protrusive microtubule and contractile actomyosin forces drives tissue extension Singh, A; Thale, S; Leibner, T; Ricker, A; Nüsse, H; Klingauf, J; Ohlberger, M; Matis, M (2022) In: eLife, 2022. doi:10.1101/2022.06.21.496930 Research article (journal) \| submitted / under review
A new entropy-variable-based discretization method for minimum entropy moment approximations of linear kinetic equations Leibner T, Ohlberger M (2021) In: ESAIM: Mathematical Modelling and Numerical Analysis, 55. doi:10.1051/m2an/2021065 Research article (journal) \| Peer reviewed \| Published
First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: Model derivation and realizability theory Schneider Florian, Leibner Tobias (2020) In: Journal of Computational Physics, 416. doi:10.1016/j.jcp.2020.109547 Research article (journal) \| Peer reviewed \| Published
First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: realizability-preserving splitting scheme and numerical analysis Schneider Florian, Leibner Tobias (2019) In: ((Bitte Journal prüfen)), 2019. Research article (journal) \| submitted / under review