Philipp Öffner

PD Dr. rer. nat. 

Hi, my name is Philipp Öffner. Currently, I am working in the numerical analysis group at the Johannes Gutenberg-University Mainz. 

Prior to JGU, I was a postdoctoral researcher at the University Zurich, at the Technical University of Brunswick and substituted a professorship in Mainz.  

In my research, I focus on the analysis and development of numerical methods for partial differential equations, especially for hyperbolic conservation/balance laws. 

In particular, I am interested in stability properties, the preservation of physical constraints and convergence properties. 

Research Interests

  • Computational Fluid Dynamics (CFD)
  • Numerical Methods for Compressible and Incompressible Flows:  Continuous and Discontinuous Galerkin, Flux Reconstruction, Residual Distribution Schemes
  • Time Integration Schemes: Deferred Correction Methods, Runge-Kutta Schemes, ADER-Approach
  • Approximation Theory 
  • Uncertainty Quantification in CFD 
  • Edge Detection and Shock Sensors


    • Finally, our paper "Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes: Application to Structure Preserving Discretization" has been accepted in Journal of Computational Physics (5.1.2022). 
    • Yesterday (9.11.2021), I spoke about "Entropy Stable Residual Distribution schemes" at Darthmourth College (USA). 
    • My new preprint on "An Arbitrary High Order and Positivity Preserving Method for the Shallow Water Equations" with M. Ciallella, L. Micalizzi, and D. Torlo is out on Arxiv.
    • From 18.10-29.10.2021, I am staying at Inria Bordeaux working with members of the Cardamom Team on numerical methods for  Shallow Water equations. 

    Contact and further informations

    You can find further information on