Hi there, I am Olga Mula

• Professor of Mathematics at TU Eindhoven. I am moving to the University of Vienna in September 2025.
• Group: Computational Partial Differential Equations.

Research interests

My research interests lie in the area of numerical analysis for Partial Differential Equations, enriched with data-driven methodologies. This combination is redefining what is possible in computational science, and is playing a crucial role in tackling some of today's scientific and societal challenges. Here are some topics that I investigate:

• Mathematical Foundations of Scientific Machine Learning: why/how PINNs work (or not), dynamical nonlinear approximation
• High-Dimensional and Nonlinear Approximation for PDE solvers: model order reduction, neural networks, Gaussian mixtures.
• Data Assimilation and Inverse Problems: optimal reconstruction schemes, sensor placement
• Numerical Optimal Transport: Wasserstein Gradient Flows, OT solvers.
• Numerical Analysis of PDEs: a posteriori error estimation, domain decomposition, structure preserving schemes.
• Applications: 3D-printing, haemodynamics, pollution, epidemiology, nuclear engineering

Open positions

I am searching for PhDs and Postdoc researchers for the following projects which will be based at the University of Vienna:

• PhD Position on Data Assimilation for Wasserstein Gradient Flows
• PhD Position on PINNs for Singularly Perturbed PDEs
• Postdoc Position on Numerical Schemes for High-Dimensional Fokker-Planck Equations

Application Deadline: June 20, 2025. Starting Date: Between September 2025 and February 2026.