Lisa Lechner

Lisa Lechner is a Researcher in the Department of Mathematical Fluid Mechanics at the Institute of Mathematics, University of Würzburg. She is affiliated with the Chair of Mathematics VI (Mathematics in the Natural Sciences), focusing on numerical methods for hyperbolic conservation laws. Her work involves advancing the generalized Active Flux method for solving multi-dimensional problems with high-order accuracy.

Education:

• PhD Candidate (since Oct. 2023): University of Würzburg, advised by Prof. Dr. Christian Klingenberg.
• M.Sc. in Mathematics (Nov. 2015): Technical University of Munich (TUM).
• B.Sc. in Mathematics (Feb. 2012): Technical University of Munich (TUM).

Research Interests: Lechner’s research centers on developing structure-preserving numerical methods for fluid mechanics, particularly the Active Flux method. Key topics include high-order accuracy in multi-dimensional systems, preserving positivity and low-Mach number compliance in Euler equations, and vortex resolution.

Recent Contributions: Her 2025 works explore generalized Active Flux methods and their Fourier-based analysis, bridging finite volume and discontinuous Galerkin approaches. These studies emphasize stability and applicability to complex fluid dynamics problems.