Fabian Kleon Zehetgruber

Fabian Kleon Zehetgruber is a Project Assistant at the Institute of Analysis and Scientific Computing, Vienna University of Technology (TU Wien), since November 2023, working under the supervision of Univ. Prof. Michael Feischl. His research explores the integration of artificial neural networks with numerical mathematics.

His educational background includes:

• Master of Science in Mathematical Modeling from Sorbonne Université Paris (completed September 2023)
• Bachelor of Science in Technical Mathematics from TU Wien (2021)

His research focuses on Numerical Mathematics, Artificial Neural Networks, and Partial Differential Equations, specifically investigating how neural networks can solve complex computational problems in scientific computing. This work bridges deep learning with classical numerical analysis techniques.

His recent publications (2024-2025) reveal a strong trend toward developing neural network frameworks for operator learning and optimization in numerical mathematics, addressing computational hardness and hierarchical training methodologies.

No scientific awards are documented in the provided information.

As a supervised Project Assistant, he is actively engaged in doctoral-level research within TU Wien's institutional framework, though specific grants are not detailed. His role involves collaborative work under Prof. Feischl's guidance.

He contributes to the Computational PDEs research group within TU Wien's Numerical Analysis unit, focusing on numerical methods for partial differential equations and their intersection with machine learning.