Zürich, September 2022

Philipp Öffner

PD Dr. rer. nat. 

I currently hold a position as an interim professor in numerical analysis at TU Clauthal. Prior to joining TU Clausthal, I worked as a postdoctoral researcher at the Johannes Gutenberg University Mainz, the University of Zurich and the Technical University of Brunswick.

My research primarily revolves around the examination and advancement of numerical techniques applicable to ordinary and partial differential equations, with a specific focus on hyperbolic conservation/balance laws. I dedicate my efforts to exploring stability characteristics, the maintenance of physical constraints, and the approximation and convergence properties of these methods. To support my theoretical findings, I consistently complement them with numerical simulations.

Research Interests

  • Numerical Methods for Compressible Flows (Continuous and Discontinuous Galerkin, Residual Distribution, Flux Reconstruction, Finite Difference, Finite Volume, Global and Local Radial Basis Function Methods)
  • Time Integration Schemes (Runge-Kutta, Deferred Correction, ADER, modified Patankar and GeCo schemes)
  • Uncertainty Quantification 
  • Approximation Theory
  • Computational Fluid Dynamics (CFD)
  • Data-driven approaches combining analysis and data
  • Scientific Machine Learning 


    • With collaborations partners, we have submitted our article about "Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods". The preprint can be found on arXiv. 
    • My paper with Janina Bender on "Entropy-Conservative Discontinuous Galerkin Methods for the Shallow Water Equations with Uncertainty" has been finally published in

      Communications on Applied Mathematics and Computation. It is open access and can be found here.

    • We have submitted our new paper "Analysis for Implicit and Implicit-Explicit ADER and DeC Methods for Ordinary Differential Equations, Advection-Diffusion and Advection-Dispersion Equations". The preprint can be found at arXiv. 
    • I was invited to represent the DFG priority programm

      SPP-2410: Hyperbolic Balance Laws in Fluid Mechanics: Complexity, Scales, Randomness at the Gamm conference in Magdeburg (18.3-22.3.2024). 

    • My paper on "Summation-by-parts operators for general function spaces: The second derivative" has been accepted in JCP (28.2.2024). The preprint can be found on arXiv. 

    Contact and further informations

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