Department of Informational Modelling

Information modeling of telecommunication systems, generalized networks, intuitionistic fuzzy sets

Approximations of derivatives, approximations for the fractional integral, numerical methods

Internet of things, artificial intelligence, intelligent service recommendation for mobile users, Internet tomography

Research interests: Mathematical and informatics modeling in logistics, transport and production processes, scheduling theory, modeling and forecasting in financial mathematics, numerical methods for partial and ordinary differential equations.

Modeling in financial mathematics, valuation and calibration of financial derivatives; numerical methods for partial and ordinary differential equations with applications in computational and quantitative finance, mathematical and computer modeling of natural and anthropogenic phenomena such as: transfer of pollutants in air and water environment; population dynamics of honey bees; spread of infectious diseases

I am deeply interested in the field of algorithmic trading, focusing on the integration and application of the actor model in trading systems. Additionally, I am keenly interested in exploring new technologies that can innovate and enhance these areas.

Biomedical information processing, mathematical methods for extracting useful signal from high intensity background noise

Research interests: Relational algebra, SQL query optimization, time series

Iinformation modelling, OLAP, big data, neural networks.

Information modeling through multidimensional data cubes and issues related to data sparsity in the model, big data, data warehouses, data quality

Computer algebra (algorithms, systems and applications), Information Modeling.

Methodology of Mathematics, Applications of Mathematics and Informatics in the Humanities, Information Modeling, Differential Equations, Geometry.

Development of numerical methods for mathematical and computer modeling and applications. Monte Carlo and Quasi-Monte Carlo methods for multidimensional integrals, integral equations and linear systems. Stochastic methods for sensitivity analysis of large mathematical models. Numerical methods based on lattice point sets with different generating vectors. Comparisons of quasi random sequences with low discrepancy. Compact difference schemes with high degree of accuracy for model problems in ecology. Applications of numerical methods of high accuracy in ecology, physics, quantum mechanics, finance, statistics, biology and communication technologies.

Pattern Recognition and Classification, Machine Learning, Knowledge Discovery, Computer Vision, Neural Networks, Computer Security, Medical Informatics.