Hi there, I am Olga Mula

• Professor of Mathematics at the University of Vienna.
• Chair of 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. 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