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.
- 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
- 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
- Heterogeneous computing on CPUs and GPUs using OpenCL
- Open source projects such as Trixi.jl, OrdinaryDiffEq.jl, NodePy, RK-Opt