Research - Faculty of Electrical Engineering and Computer Science

The research on the Department of Applied Mathematics is managed by three research groups. They correspond to the three main research topics: Numerical analysis with particular emphasis on computational frameworks, Applied probability and statistics espacially stochastic reliability and risk modelling of complex systems, and mathematical Analysis, espacially focused on boundary element methods, application of discrete mathematics and dynamical systems.

Cooperation acros research groups is strongly encouraged, not only within the university, but across various areas related to applied mathematics, including cooperation with industry. Moreover, the research groups help to maintain the scope of theses and dissertaitions up-to-date so that the topics correspond to current research level.

Numerical Analysis and High Performance Computing Research Topics

Research Topics:

Parallel scalable methods for solution of, e.g., contact problems of mechanics - FETI, BETI, parallel BEM
Optimal quadratic programming algorithms, optimization methods
Molecular and quantum simulations
Research driven by industrial collaboration, e.g., ultrasonic defectoscopy of aircrafts in collaboration with Honeywell

Applied Probability and Statistics

Research Topics:

Stochastic reliability and risk modelling of complex systems
Effective algorithms for reliability and risk quantification and optimization
Advanced statistical methods for evaluation of biomedical and industrial data and uncertainty analysis
Bayesian statistical methods

Mathematical Analysis and Discrete Mathematics

Research Topics:

Boundary Element Method
Domain Decomposition Methods
Mathematical Homogenization
Graph decompositions
Graph labelings with applications
Discrete and continuous dynamical systems