Zürich, September 2022

Philipp Öffner

PD Dr. rer. nat. 

I am an acting professor at the numerical analysis group at Johannes Gutenberg University Mainz. Before JGU, I was a postdoctoral researcher at the University of Zurich and the Technical University of Brunswick.
In my research, I focus on the analysis and development of numerical methods for ordinary and partial differential equations, in particular for hyperbolic conservation/balance laws. I am interested in stability properties, the preservation of physical constraints and convergence properties of the schemes. I justify always my theoretical results with numerical simulations.

Research Interests

  • Computational Fluid Dynamics (CFD)
  • Numerical Methods for Compressible Flows
  • Time Integration Schemes
  • Approximation Theory 
  • Uncertainty Quantification in CFD 
  • Edge Detection and Shock Sensors
  • Scientific Machine Learning
  • High-performance Computing (HPC)


    • With J. Bender (University Kassel), I have submitted the paper on "Entropy-conservative and well-balanced discontinuous Galerkin methods for the shallow water equations with uncertainty" to the special issue to honour Remi Abgrall. The preprint can be found here. 
    • With J. Glaubitz, J. Nordström and S-Ch. Klein, I have published our new preprint "Multi-dimensional summation-by-parts operators for general function spaces: Theory and construction" on arXiv.
    • I have published with Y. Mantri and M. Ricchiuto our new   preprint "Fully well balanced entropy controlled DGSEM for shallow water flows: global flux quadrature and cell entropy correction" on arXiv.
    • My paper "On the Convergence of Residual Distribution Schemes for the Compressible Euler Equations via Dissipative Weak Solutions" with R. Abgrall and M.

      Lukácova-Medvid’ová has been accepted in "M3AS: Mathematical Models and Methods in Applied Sciences" (27.11.2022).

    Contact and further informations

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