Research Interests
- Numerical schemes for hyperbolic problems
- Structure preserving and higher order finite volume schemes
- All-speed schemes for multi-material and multi-phase systems
Teaching Assistent
Winter Term 20/21
Term 16/17 (Würzburg)
- Numerical analysis
- Analysis 1, 2
Term 15 (Würzburg)
- Mathematics for Engineering
Publikationen
Preprints
V. Michel-Dansac, A. Thomann. TVD IMEX Runge-Kutta schemes based on arbitrarily high order Butcher tableaux, HAL, 2020. HAL preprint
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M. Lukáčová-Medvid’ová, G. Puppo, A. Thomann. An all Mach number finite volume method for isentropic two-phase flow, 2022. arXiv preprint |
A. Thomann, A. Iollo, G. Puppo. Implicit relaxed all Mach number schemes for gases and compressible materials, 2021. arXiv preprint |
Journal Articles
A. Thomann, G. Puppo, C. Klingenberg. An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity, J. Comput. Phys. 420: p. 109723, 2020. https://arxiv.org/abs/1912.09577
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A. Thomann, M. Zenk, G. Puppo, C. Klingenberg. An all speed second order IMEX relaxation scheme for the Euler equations, Commun. Comput. Phys., 28(2):591–620, 2020. https://arxiv.org/abs/1907.08398
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A. Thomann, M. Zenk, C. Klingenberg. A second-order positivity- preserving well- balanced finite volume scheme for Euler equations with gravity for arbitrary hydrostatic equilibria, Int. J. Numer. Meth. Fl., 89(11):465–482, 2019. https://arxiv.org/abs/1804.09965
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A. Thomann, A. Borzì. Stability and accuracy of a pseudospectral scheme for the Wigner function equation. Numer. Methods Partial Differential Eq., 33: 62–87, 2017. https://hal.archives-ouvertes.fr/hal-03587242
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Conference Proceedings
V. Michel-Dansac, A. Thomann. On high-precision L∞-stable IMEX schemes for scalar hyper- bolic multi-scale equations. Proceedings of NumHyp 2019. SEMA SIMAI Springer Series. Springer International Publishing, 2019. https://hal.archives-ouvertes.fr/hal-02303491
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C. Klingenberg, A. Thomann. On computing compressible Euler equations with gravity. In XVI International Conference on Hyperbolic Problems: Theory, Numerics, Ap- plications 2016 (pp. 159-166). Springer, Cham. (PDF)
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Abschlussarbeiten
Dissertation: A. Thomann. Numerical methods for all-speed flows for the Euler equations including well-balancing of source terms. Insubria University, DiSAT, 2020. (PDF) |
Funding
Curiculum Vitae
Nov. 2020 – now |
Post-doctoral researcher |
Mainz University, Germany
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Advisor:
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Mariá Lukácová-Medvid’ová
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Nov. 2017 – Oct. 2020 |
PhD program in applied mathematics |
Insubria University, Como, Italy
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Advisor: |
Prof. Dr. Gabriella Puppo, La Sapienza University Rome
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Marie Skłodowska-Curie fellow from Istituto Nazionale di Alta Matematica
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Oct. 2015 – Oct. 2017 |
Research engineer |
Würzburg University, Germany
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Advisors:
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Christian Klingenberg and Alfio Borzì
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Oct. 2013 – Sept. 2015 |
Master Computational Mathematics |
Würzburg University, Germany
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Advisor: |
Alfio Borzì
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Oct. 2010 – Sept. 2013 |
Bachelor Computational Mathematics |
Würzburg University, Germany | |
Advisor: | Alfio Borzì |