Employee card
Ing. Michal Beres, Ph.D.
Department of applied mathematics and computational sciences
Address
Institute of GeonicsCzech Academy of Sciences
Studentska 1768/9
708 00 Ostrava-Poruba
Czech Republic
Web
Personal page
- Partial differential equations with random input parameters – stochastic Galerkin method, Bayesian inference on parameters of PDEs.
- Decomposition of random fields – numerical approximation of Karhunen-Loéve decomposition.
- Poroelasticity in fractured porous media – numerical model with non-linear coupling and contact on fractures.
- Machine Learning – data assimilation, neural networks as surrogate models.
- Development of MATLAB and Python codes and libraries – iterative methods, preconditioners, libraries for non-linear minimization using automatic differentiation, neural networks.
- Geotechnical applications - stability of slopes; excavation damage zones; nuclear waste repositories.