Hendrik Ranocha

Prof. Dr. Hendrik Ranocha is a Professor of Numerical Mathematics at Johannes Gutenberg University Mainz, Germany. Previously, he held an Assistant Professor position at the University of Hamburg (2022–2023) and postdoctoral roles at institutions including KAUST and TU Braunschweig. His research focuses on structure-preserving numerical methods for partial differential equations, emphasizing stability, entropy conservation, and high-performance computing. Ranocha leads a research group developing open-source software such as Trixi.jl and SummationByPartsOperators.jl for adaptive simulations and numerical analysis.

Education

• BSc Mathematics & Physics, TU Braunschweig (2011–2014)
• MSc Mathematics, TU Braunschweig (2014–2016)
• PhD Mathematics, TU Braunschweig (2016–2018)

Research Interests

• Numerical Analysis: Stability, Runge-Kutta methods, entropy stability
• Scientific Computing: Discontinuous Galerkin methods, HPC in Julia
• Applications: Compressible flows, astrophysical simulations, magnetohydrodynamics

Recent Contributions

Recent work includes entropy-preserving schemes for dispersive equations, positivity-preserving time integrators, and high-performance computing tools. Collaborations span software development with SciML and open-source projects like Trixi.jl.

Advising & Grants

• PhD students: Louis Petri, Marco Artiano, Sebastian Bleecke
• Postdoctoral researchers: Saurav Samantaray, Arpit Babbar

Labs & Teams

Runs a research group focused on numerical methods and software development, contributing to Julia-based open-source ecosystems for computational science.