Zürich, September 2022

Philipp Öffner

PD Dr. rer. nat. 

Philipp Öffner is working in the numerical analysis group at the Johannes Gutenberg-University Mainz. Prior to JGU, he was a postdoctoral researcher at the University Zurich, at the Technical University of Brunswick and substituted a professorship in Mainz.  

In his research, he focuses on the analysis and development of numerical methods for ordinary and partial differential equations, in particular for hyperbolic conservation/balance laws. He is interested in stability properties, the preservation of physical constraints and convergence properties of the schemes. He justifies always his theoretical results by numerical simulations. 

Research Interests

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


    • My new preprint "A necessary condition for non oscillatory and positivity preserving time-integration schemes" with Th. Izgin and D. Torlo has been published on arXiv.
    • I have published with S.-Ch. Klein the new preprint "Entropy conservative high-order fluxes in the presence of boundaries"  on arXiv.

    • I have published the new paper "A new variable shape parameter strategy for RBF approximation using neural networks" together with F. Mojarrad,  M. Han Veiga and J. Hesthaven on arXiv.  
    • My paper "High order entropy preserving ADER-DG schemes" with E. Gaburro, M. Ricchuto and D. Torlo has been accepted in "Applied Mathematics and Computation" (18.10.2022). 

    Contact and further informations

    You can find further information on