Bildarchiv des Mathematischen Forschungsinstituts Oberwolfach (8.2022)

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 (Continuous and Discontinuous Galerkin, Flux Reconstruction, Residual Distribution)
  • Time Integration Schemes (Deferred Correction, Runge-Kutta, ADER)
  • Approximation Theory 
  • Uncertainty Quantification in CFD 
  • Edge Detection and Shock Sensors
  • Scientific Machine Learning
  • High-performance Computing (HPC)


    • My article with J. Nordström and J. Glaubitz on

      "Summation-by-parts operators for general function spaces" has been accepted in SINUM (21.9.2022).

    • On Monday (19.9.2022), I gave my inaugural lecture in Zürich on the "Development of modern numerical schemes for hyperbolic conservation laws" to celebrate my habilitation. 
    • From 28.8.2022-10.9.2022, I am at the MFO in Oberwohlfach duing Research-in-pairs with J. Nordström, J. Glaubitz and S.-Ch. Klein focusing on the topic "Beyond polynomials: Multi-dimensional 

      summation-by-parts operators for general function spaces".

    • My article with M. Lukácová-Medvidová on  "On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions" has been accepted in Applied Mathematics and Computation.

    Contact and further informations

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