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Hendrik Ranocha is a Postdoctoral Fellow in the Cluster of Excellence at the University of Münster, Germany.

His research is focused on the analysis and development of numerical methods for partial and ordinary differential equations. In particular, he is interested in the stability of these schemes as well as mimetic and structure-preserving techniques, allowing the transfer of results from the continuous level to the discrete one.

Research Interests

  • Numerical Analysis
    • Numerical schemes for hyperbolic balance laws and dispersive-dissipative equations: Discontinuous Galerkin methods, continuous and discontinuous spectral element methods, finite difference schemes, flux reconstruction, finite volume methods
    • Structure-preserving methods: Conservation/dissipation of entropy/energy, summation by parts operators, (skew-symmetric) splitting techniques, mimetic properties, filtering, artificial dissipation
    • Runge-Kutta methods, stability of time integration schemes
    • Adaptivity in time and space
    • Data-driven approaches combining analysis and data
  • Scientific Computing
    • Compressible Euler equations, shallow water equations, magnetic induction equation, numerical plasma physics, magnetohydrodynamics, dispersive wave equations
    • Multi-physics problems and astrophysical applications
    • Modeling and analysis of physical processes
    • High-performance computing (HPC) in Julia
    • Heterogeneous computing on CPUs and GPUs using OpenCL
    • Open source projects such as Trixi.jl, SummationByPartsOperators.jl, OrdinaryDiffEq.jl, NodePy, RK-Opt

Brief CV

  • 2021/03–present: Postdoctoral Fellow, University of Münster (Germany). Advisor: Mario Ohlberger
  • 2019/09–2021/02: Postdoctoral Fellow, King Abdullah University of Science and Technology (KAUST, Saudi Arabia). Advisor: David Ketcheson
  • 2018/02–2019/09: Postdoctoral Research and Teaching Associate, TU Braunschweig (Germany) Advisor: Thomas Sonar
  • 2018/03–2019/02: Teaching assignment, Ostfalia University of Applied Sciences (Germany)
  • 2016/04–2018/02: PhD Mathematics, TU Braunschweig (Germany). Advisor: Thomas Sonar
  • 2014/10–2016/02: MSc Mathematics, TU Braunschweig (Germany)
  • 2011/10–2014/09: BSc Mathematics, TU Braunschweig (Germany)
  • 2013/08–2013/12: Exchange student, Yonsei University (Seoul, South Korea)
  • 2010/10–2013/07: BSc Physics, TU Braunschweig (Germany)

News

New Preprint ‘Computing with B-series’ on arXiv 2021-11-24

New Paper ‘Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics’ published in Communications in Applied Mathematics and Computational Science 2021-11-22

New Paper ‘Positivity-Preserving Adaptive Runge-Kutta Methods’ published in Communications in Applied Mathematics and Computational Science 2021-11-03

New Paper ‘On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations’ published in Partial Differential Equations and Applications 2021-10-18

New Paper ‘SummationByPartsOperators.jl: A Julia library of provably stable semidiscretization techniques with mimetic properties’ published in the Journal of Open Source Software 2021-08-25