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Hendrik Ranocha is a Postdoctoral Fellow in the group of David I. Ketcheson at KAUST (King Abdullah University of Science and Technology, Saudi Arabia).

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 and mimetic & 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/conservation laws: Discontinuous Galerkin methods, finite difference schemes, flux reconstruction, finite volume methods
    • Entropy and energy stability: Summation by parts operators, (skew-symmetric) splitting techniques, mimetic properties, filtering, artificial dissipation
    • Runge-Kutta methods, stability of time integration schemes
  • Scientific Computing
    • Compressible Euler equations, shallow water equations, magnetic induction equation, numerical plasma physics, magnetohydrodynamics
    • Modeling and analysis of physical processes
    • Heterogeneous computing on CPUs and GPUs using OpenCL

News

New Paper ‘Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems’ on arXiv 2019-10-01

New Paper ‘Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators’ on arXiv 2019-08-23

New Paper ‘Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes’ on arXiv 2019-08-13