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

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

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

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
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

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) Type of Publication: Research article (journal)
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 Type of Publication: Research article (journal)
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 Type of Publication: Research article (journal)
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 Type of Publication: Research article (journal)
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: arXiv, 2019 Type of Publication: Research article (journal)