معرفی
Melina Freitag is Professor for Data Assimilation at the Institute for Mathematics, University of Potsdam. Her research spans numerical linear algebra, inverse problems, and model order reduction, with applications in geophysics, image processing, and machine learning. She leads the Data Assimilation Group and contributes to the SFB 1294 Collaborative Research Center.
- Education: Prof. Freitag earned her Diplom in Mathematics at TU Chemnitz (2004) and PhD in Mathematical Sciences from University of Bath (2007).
Research Themes: Her work focuses on Krylov subspace methods, low-rank approximations, and preconditioning for large-scale systems. She bridges classical numerical analysis with modern data assimilation, addressing challenges in:
- Bayesian inverse problems with unstable systems
- Optimized spectral sampling in X-ray imaging
- Physics-informed neural networks for Navier-Stokes inversion
- Parameter-dependent eigenvalue analysis
Collaborations & Grants: She collaborates with institutions like KTH Stockholm and Arizona State University. Her group secures funding through SFB 1294 and participates in INI Cambridge networks.
- Leadership: Co-Chair of GAMM Activity Group on Applied Numerical Linear Algebra
- SIAM Activity Group on Linear Algebra Chair (2022)
Teaching: Delivers courses on numerical optimization, matrix methods in data science, and inverse problems, integrating computational theory with real-world applications.
