Dr. Andrea Thomann

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



V. Michel-Dansac, A. Thomann. TVD IMEX Runge-Kutta schemes based on arbitrarily high order Butcher tableaux, HAL, 2020. HAL preprint

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
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
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
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

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
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)


Dissertation: A. Thomann. Numerical methods for all-speed flows for the Euler equations including well-balancing of source terms. Insubria University, DiSAT, 2020. (PDF)


2021 PROCOPE mobility grant for France
Project: Efficient numerical simulation of mono-materials and multi-material interactions.
INdAM-DP-COFUND-2015 INdAM Doctoral Prgramme in Mathematics and/or Applications Cofunded by Marie Skłodowska-Curie Actions
Project: Numerical methods for fluid flows around steady states in the low Mach regime of the Euler equations with gravity.

Curiculum Vitae


Nov. 2020 – now

Post-doctoral researcher

Mainz University, Germany
Mariá Lukácová-Medvid’ová

Nov. 2017 – Oct. 2020

PhD program in applied mathematics

Insubria University, Como, Italy
Prof. Dr. Gabriella Puppo, La Sapienza University Rome
Marie Skłodowska-Curie fellow from Istituto Nazionale di Alta Matematica

Oct. 2015 – Oct. 2017

Research engineer

Würzburg University, Germany
Christian Klingenberg and Alfio Borzì

Oct. 2013 – Sept. 2015

Master Computational Mathematics

Würzburg University, Germany
Alfio Borzì

Oct. 2010 – Sept. 2013

Bachelor Computational Mathematics

Würzburg University, Germany
Advisor: Alfio Borzì