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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 ‘Positivity-Preserving Adaptive Runge-Kutta Methods’ on arXiv 2020-05-14

New Paper ‘On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear Semibounded Operators’ published in IMA Journal of Numerical Analysis 2020-04-07

New Paper ‘Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations’ on arXiv 2020-03-20

New Paper ‘Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Euler and Navier-Stokes Equations’ published in SIAM Journal on Scientific Computing 2020-03-12

New Paper ‘A Class of A Stable Summation by Parts Time Integration Schemes’ on arXiv 2020-03-10