Hendrik Ranocha

Prof. Dr. Hendrik Ranocha is a Professor in Numerical Mathematics at Johannes Gutenberg University Mainz. His research focuses on numerical methods for partial and ordinary differential equations, emphasizing stability, structure-preserving techniques, and high-performance computing in Julia.

• University: Johannes Gutenberg University Mainz
• Research Interests: Numerical Analysis, Structure-Preserving Methods, Scientific Computing, and Uncertainty Quantification

His work includes hyperbolic balance laws, Runge-Kutta methods, and applications in magnetohydrodynamics, compressible flows, and multi-physics problems. Recent publications address catastrophic floating point errors in biological models, stabilization of cut-cell meshes, and hyperbolic approximations for higher-order PDEs.

His research integrates data-driven approaches and mimetic properties to ensure accurate discrete-level approximations. He contributes to open-source projects like Trixi.jl and SummationByPartsOperators.jl, supporting numerical methods and scientific computing.