E-mail address
lmk54 [at] bath.ac.uk
Postal address
Dr Lisa Maria Kreusser
Department of Mathematical Sciences
University of Bath
Bath
BA2 7AY
United Kingdom
Research topics
- Synergies between numerical analysis and machine learning
- Mathematical formulations for machine learning
- Dynamical systems on graphs
- Mathematical modeling in biology, physics, engineering and data science
- Nonlinear partial differential equations (first-order aggregation equations, reaction-diffusion equations, gradient flows)
- Numerical methods for partial differential equations
- Interacting particle models
Applications
- Biological network formation (discrete and continuum modeling)
- Simulation of fingerprints (based on nonlocal, anisotropic interaction equations)
- Epidemiology (spread of COVID-19)
- High-dimensional data analysis (image segmentation, data classification)
- Climate science (numerical weather prediction, energy supply networks)
- Machine learning
- Industrial applications (optimization of textile production, battery simulations)