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 

    News:


    • My paper with J. Bender on "Entropy-conservative discontinuous Galerkin methods for the shallow water equations with uncertainty" has been accepted in "Communications on Applied Mathematics and Computation" (8.1.2024). 
    • My paper with J. Glaubitz and J. Nordström about

      "Energy-stable global radial basis function methods on summation-by-parts form" has been accepted in "Springer Journal of Scientific Computing" (28.11.2023). The paper is been published

    • With my collaboration partners, I have submitted the paper "High-order upwind summation-by-parts methods for nonlinear conservation laws" to JCP. The preprint can be found on Arxiv (27.11.2023)
    • My paper with M. Ricchiuto and Y. Mantri about "

      Fully well-balanced entropy controlled discontinuous Galerkin spectral element method for shallow water flows:
      global flux quadrature and cell entropy correction" has been accepted in JCP. The preprint can be found on Arxiv. (23.11.2023)

    • My paper with D. Hillebrand and S.-Ch. Klein about

      "Applications of limiters, neural networks and polynomial annihilation in higher-order FD/FV schemes" has been published "Springer Journal of Scientific Computing" (7.9.2023). It can be found here.


    Contact and further informations


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